CLASS WORK SHEET LECTURE-02 ADDITION AND ...

Q.1-30. What will come in the place of question mark(?) in the following questions?

fuEufyf[kr iz'uksa esa iz'uokpd fpUg ‘\’ ds LFkku ij D;k vk;sxk\Q.1. 5168 - 4018 + 3209 = ?

(1) 4174 (2) 4264 (3) 4359 (4) 4354 (5) 4554

Q.2. 63251 + 52894 = ? + 37624

(1) 87812 (2) 67281 (3) 76821 (4) 78521 (5) None of these

Q.3. 7283 – 3249 + 6283 = ?

(1) 10317 (2) 11317 (3) 98317 (4) 78317 (5) None of these

Q.4. 8994 - 4178 - 2084 = ?

(1) 2720 (2) 2726 (3) 2730 (4) 2734 (5) None of these

Q.5. 3647 + 4898 – 2120 – 165 = ?

(1) 6820 (2) 6320 (3) 6620 (4) 6260 (5) None of these

Q.6. 6666 + 666 + 66 + 6 = ?

(1) 7044 (2) 7440 (3) 7404 (4) 7444 (5) 4470

Q.7. 28.314 -31.427 + 113.928 = ? + 29.114

(1) 81.711 (2) 80.701 (3) 71.711 (4) 81.701 (5) None of these

Q.8. 302.46 + 395.72 - 123.47 = ?

(1) 576.77 (2) 547.17 (3) 547.77 (4) 577.71 (5) 574.71

Q.9. 1111.1 + 111.11 + 11.111 = ?

(1) 1232.231 (2) 1233.123 (3) 1332.331 (4) 1323.132 (5) None of these

Q.10. 534.596 + 61.472 - 496.708 = ? + 27.271

(1) 126.631 (2) 62.069 (3) 72.089 (4) 132.788 (5) None of these

Q.11. 886.86 + 86.68 + 0.68 + 8.88 + 6 = ?

(1) 898.2 (2) 986.4 (3) 988.6 (4) 989.1 (5) None of these

Q.12. 2.002 + 7.9 + 2.8 –6.3 + 36 –1.5 + 15.6 = ?

(1) 56.566 (2) 56.602 (3) 56.500 (4) 56.502 (5) None of these

Q.13. ? – 34.132 = 31.1 + 57.76

(1) 60.792 (2) 122.209 (3) 122.992 (4) 90.118 (5) None of these

Q.14. 777.07 + 77.77 + 0.77 + 7.07 + 7+77 = ?

(1) 946.78 (2) 946.68 (3) 964.68 (4) 946.86 (5) None of these

Q.15. 20.02 + 22.20 + 202.02 = ?

(1) 244.24 (2) 222.24 (3) 242.42 (4) 224.42 (5) None of these

Q.16. 78.45 + 128.35 + 1122.25 = ?

(1) 1329.55 (2) 1239.25 (3) 1329.45 (4) 1239.45 (5) None of these

Q.17. 485.21 - 259.12 + 338.47 = ?

(1) 575.96 (2) 564.56 (3) 546.76 (4) 515.85 (5) None of these

Q.18. 11.11 + 111.1 + 1111.11 = ?

(1) 1323.23 (2) 1233.32 (3) 1322.33 (4) 1232.22 (5) None of these

Q.19. 63.04 + 15.25 + 36.004 = ?

(1) 114.33 (2) 114.68 (3) 114.2904 (4) 114.94 (5) None of these

Q.20. 0.8 + 0.88 + 0.888 + 0.8888 = ?(1) 3.5468 (2) 3.4286 (3) 3.4628 (4) 3.2468 (5) 3.4568

Q.21. 7777 + 777.7 + 77.77 + 7.777 + 0.7777 = ?(1) 8461.0247 (2) 8641.0427 (3) 8641.0724 (4) 8641.0247 (5) 8461.0724

CLASS WORK SHEET

LECTURE-02

ADDITION AND SUBSTRACTION (tksM+uk ,oa ?kVkuk)

BANK/MATHS/201707/ADD.&SUB/E&H/02

www.mahendraguru.com1 LECTURE-02

Q.22.1 1 1 1 1 1

1 6 7 8 9 ? 62 3 2 3 5 5

(1) 1

2315

(2) 1

4615

(3) 1

2415

(4) 1

2215

(5) 1

205

Q.23.1 5 7

4 2 ? 12 6 12

(1) 1

34

(2) 5

312

(3) 7

212

(4) 3

34

(5) None of these

Q.24.1 1 1

7 8 6 ?2 3 5

(1) 19

830

(2) 9

830

(3) 19

930

(4) 3

910

(5) None of these

Q.25.1 2 1

3 4 1 ?6 3 4

(1) 1

46

(2) 2

69

(3) 7

612

(4) 1

59

(5) None of these

Q.26.3 1 3

13 18 8 ?7 14 4

(1) 1

392

(2) 3

3914

(3) 1

407

(4) 1

404

(5) None of these

Q.27. What fraction of 4

7 must be added to itself to make the sum

11

4?

fHkUu 4

7esa D;k tksM+k tk;s fd ;ksxQy

11

4gks tk;s\

(1) 1/2 (2) 4/7 (3) 7/8 (4) 15/14 (5) 19/28

Q.28.147 147 147 143 143 143

?147 147 147 143 143 143

(1) 1/4 (2) 290 (3) 1/290 (4) 4 (5) None of these

Q.29. If / ;fn 37 1

2113

x1

yz

, where x,y, z are natural number, then x+y+z = ?/ tgk¡ x, y, z

okLrfod la[;k,a gSa rks x+y+z = ?

(1) 8 (2) 7 (3) -13 (4) 11 (5) None of these

Q.30.1

12

12

12

2

= ?

(1) 3/8 (2) 19/8 (3) 8/3 (4) 8/19 (5) None of these

For more questions visit stportal.mahendras.org

BANK/MATHS/201707/ADD.&SUB/E&H/02


CLASS WORK SHEET

LECTURE-03

MULTIPLICATION AND DIVISION (xq.kk ,oa Hkkx)

Q.1-36. Simplify the multiplication---/xq.kk dk ljyhdj.k dhft,&Q.1. 46 × 49 + 98 × 102 + 78 × 72 =?

(1) 198966 (2) 15866 (3) 20666 (4) 17866 (5) 15707

Q.2. 3345 × 11 + 728 × 12 + 329 × 301 = ?

(1) 3679560 (2)144560 (3) 146540 (4) 144360 (5) 145460

Q.3. 18.5 × 21.4 × ? = 6255.22

(1) 15.8 (2) 14.6 (3) 17.4 (4) 17.2 (5) 16.4

Q.4. ?% of 800 = 293 - 22% of 750

(1) 14 (2) 12 (3) 16 (4) 18 (5) 20

Q.5. 25% of 864 + 76 × 36 = ?

(1) 2857 (2) 2582 (3) 2767 (4) 2992 (5) 2952

Q.6. 8080 ÷ 80 ÷ 8 = ?

(1) 800 (2) 12.625 (3) 10.545 (4) 808 (5) 0.1

Q.7. ? +12.4 × 7 × 16.5 = 2905.32

(1) 2646.4 (2) 2486.4 (3) 2663.2 (4) 2762.1 (5) None of these

Q.8. 2106÷ 27 × 3 = ?

(1) 234 (2) 242 (3) 222 (4) 220 (5) None of these

Q.9. 15.4 × 13.5 × ? = 2598.75

(1) 13.4 (2) 10.5 (3) 11.4 (4) 12.5 (5) 17.5

Q.10. 111 × 11 × 1111 = ?

(1) 1356531 (2) 1221 (3) 1356351 (4) 12221 (5) None of these

Q.11. 8 × 88 × 888 = ?

(1) 652381 (2) 625152 (3) 631846 (4) 78144 (5) None of these

Q.12. 175 × 111 + 7293 + 222 = ?

(1) 1619046 (2) 19425 (3) 1813299 (4) 1942563 (5) None of these

Q.13. 798 × 25 + 826 × 15 = ?

(1) 32115 (2) 32118 (3) 30118 (4) 31118 (5) 32340

Q.14. 32 × 34 + 78 × 15 =?

(1) 2458 (2) 2158 (3) 2285 (4) 2258 (5) 2908

Q.15. 1375 × 1365 + 75 × 65 = ?

(1) 1876875 (2) 1878675 (3) 1881750 (4) 1676875 (5) 1876750

Q.16. 392 × 111 + 8324 × 29 = ?

(1) 284909 (2) 284908 (3) 283908 (4) 279087 (5) 269087

Q.17. 999 × 96 + 70 × 125 = 1126 × 1104 – ?

(1) 1183450 (2) 1138350 (3) 1183540 (4) 1138450 (5) None of these

Q.18.28 195 39 5

?65 308 44 26

(1) 1

4(2)

1

5(3)

1

13(4)

1

2(5)

1

7

Q.19. 460 ×15 - 5 × 20 =?

(1) 6800 (2) 4600 (3) 6900 (4) 7000 (5) 6980

Q.20. 1.5 × 78 ÷ 0.5 = ?

(1) 23 (2) 234 (3) 243 (4) 216 (5) 261

BANK/MATHS/201707/MULTI&DIV./E&H/03


Q.21. 25% of 84 × 24% of 85 = ?

(1) 23 (2) 234 (3) 243 (4) 216 (5) None of these

Q.22.1 7 1

2 1 ?17 10 33

(1) 31

33(2) 2

1

33(3) 4

1

33(4) 3

1

22(5) None of these

Q.23.1

7 of

4

5 of

2

3 of 2625 = ?

(1) 200 (2) 220 (3) 250 (4) 300 (5) None of these

Q.24. 24 × 49 × 14 = ?

(1) 16644 (2) 14466 (3) 18484 (4) 16464 (5) None of these

Q.25.36 90

? 195

(1) 68 (2) 78 (3) 88 (4) 75 (5) 90

Q.26. 999 × 99 × 9 = ?

(1) 809910 (2) 890190 (3) 809190 (4) 809109 (5) 890109

Q.27.5

? 453242

(1) 29188 (2) 21978 (3) 29178 (4) 39178 (5) 29168

Q.28. 252 ÷ 8 ÷ 0.75 = ?

(1) 47 (2) 42 (3) 44 (4) 46 (5) 48

Q.29.3 3

7 4 ?4 20

(1) 2

13

(2) 1

13

(3) 1

23

(4) 2

33

(5) None of these

Q.30. 4225 ÷ 25 ÷ 13 = ?

(1) 11 (2) 169 (3) 16 (4) 13 (5) 15

Q.31. 100899 ÷ 9 ÷ 101 = ?

(1) 107 (2) 109 (3) 111 (4) 131 (5) 117

Q.32. 0.00000806 ÷ 0.0026 = ?

(1) 0.0041 (2) 0.0041 (3) 0.0039 (4) 0.0037 (5) 0.0031

Q.33. (351) + (-441) × (-12) = ?

(1) 9054 (2) 9504 (3) 9045 (4) 9604 (5) None of these

Q.34.3

?344

+148 = 196

(1) 5054 (2) 5045 (3) 5504 (4) 5500 (5) None of these

Q.35.35 15 10

?25 2

(1) 105 (2) 107 (3) 109 (4) 111 (5) 113

Q.36. 69 ÷ 3 × 0.85 = ?

(1) 19.87 (2) 19.78 (3) 23.48 (4) 21.78 (5) 19.55

BANK/MATHS/201707/MULTI&DIV./E&H/03



CLASS WORK SHEET

LECTURE-04

SQUARE, SQ. ROOT AND CUBE, CUBE ROOT (oxZ] oxZewy vkSj ?ku] ?kuewy)Q.1-25. What will come in the place of question mark (?) in the given questions?

fuEufyf[kr iz'uksa esa iz'uokpd fpUg ‘\’ ds LFkku ij D;k eku vk;sxk \Q.1. (59)2 + (12)2 = (?)2 + 600

(1) 53 (2) 45 (3) 55 (4) 48 (5) None of these

Q.2. 28677 ÷ ? = 79 × 111

(1) 33 (2) 1225 (3) 1089 (4) 35 (5) None of these

Q.3. [(11)3 × (15)2] ÷ (25)2 = ?

(1) 497.61 (2) 429.18 (3) 425 (4) 479.16 (5) None of these

Q.4. (?)2 × 25 = (385)2

(1) 55 (2) 5929 (3) 66 (4) 3301 (5) None of these

Q.5. 441 ÷ 3 × ? = 10290

(1) 70 (2) 80 (3) 4900 (4) 6400 (5) None of these

Q.6. 3136 4096 ?

(1) 120 (2) 3584 (3) 205 (4) 12744 (5) None of these

Q.7. 248 51 169 =?

(1) 16 (2) 18 (3) 20 (4) 16 (5) None of these

Q.8.? 13

1144 12

(1) 25 (2) 14 (3) 12 (4) 13 (5) None of these

Q.9. 2 ?5 14 6 7 (4) 18

(1) 1 (2) 3 (3) 4 (4) 5 (5) None of these

Q.10. 4 1 2 1 1 9 9 =?

(1) 3 (2) 5 (3) 6 (4) 6.4 (5) None of these

Q.11.2 2 5 2 5 1 6

?7 2 9 1 4 4 8 1

(1) 1

48(2)

5

48(3)

5

16(4)

16

5(5) None of these

Q.12. 3 319683 12167 ?

(1) 27 (2) 23 (3) 30 (4) 50 (5) None of these

Q.13. 3 3238328 3375 =?

(1) 62 (2) 15 (3) 930 (4) 2170

Q.14. 3 3681472 1331 =?

(1) 88 (2) 11 (3) 4 (4) 8 (5) None of these

Q.15. 3 383 0584 12 25 216 =?

(1) 130 (2) 94 (3) 35 (4) 616 (5) None of these

Q.16.6

3 12167 46 8 (2 2) 256 ?

(1) 250 (2) 260 (3) 240 (4) 280 (5) None of these

BANK/MATHS/201707/SQUARE&CUBE/E&H/04


Q.17.9

116

=?

(1) 1

14

(2) 1

24

(3) 4

5(4) 5/4 (5) None of these

Q.18. 3 32 1 5 9 1 6 7 2 2 4 9 =?

(1) 4 (2) 5 (3) 6 (4) 7 (5) 8

Q.19. 30 .5

9 1 ?1 1

2 1 6 3 6

(1) 4 (2) 5 (3) 6 (4) 8 (5) 10

Q.20.2

25 1 x 5

(1) 6 (2) 6+ 2 5 (3) 6 5 (4) 6- 2 5 (5) None of these

Q.21. 625 576 ? 2916

(1) -47 (2) 47 (3) 46 (4) 48 (5) None of these

Q.22. 576 289 x 1

(1) 6 (2) 36 (3) 49 (4) 7 (5) None of these

Q.23.625 14 11

x x ?11 25 196

(1) 5 (2) 6 (3) 8 (4) 11 (5) None of these

Q.24. 33969 2209 18 68921 ?

(1) -2 (2) 2 (3) 4 (4) 46 (5) None of these

Q.25. 50176 ÷ 128 × ? = 43.75(1) 30 (2) 40 (3) 25 (4) 20 (5) 15

Q.26. If 3 = 1.732 find the value of 1

192 48 752

correct to 3 places.

;fn 3 = 1.732 rc 1

192 48 752

dk eku n'keyo ds 3 vadksa rd Kkr dhft,A

(1) 1.732 (2) 17.32 (3) 173.2 (4) 1.516 (5) None of these

Q.27. Evaluate 9.5 0.0085 18.9

0.0017 1.9 0.021/ dk eku Kkr dhft,A

(1) 150 (2) 45 (3) 30 (4) 100 (5) None of these

Q.28. The value of 0 .0 1 0 .8 1 1 .2 1 0 .0 0 0 9 / dk eku Kkr dhft,(1) 2.03 (2) 2.1 (3) 2.11 (4) 2.13 (5) None of these

Q.29. Find the greatest number of five digits which is a perfect square.

ik¡p vadksa dh cM+h ls cM+h la[;k Kkr dhft, tks ,d iw.kZ oxZ gks&(1) 99999 (2) 99586 (3) 23456 (4) 99856 (5) None of these

Q.30. If 18225 = 135, then the value of 182.25 1.8225 0.018225 0.00018225

(1) 1.49985 (2) 14.9985 (3) 37.164 (4) 149.985 (5) 1499.85

Q.31. 9409 9604 9801 1369 1156 3721

(1) 160 (2) 162 (3) 156 (4) 150 (5) 176

Q.32. P = 999, then find the value of 23 P (P 3P 3) 1

(1) 1000 (2) 999 (3) 998 (4) 1002 (5) 9909


BANK/MATHS/201707/SQUARE&CUBE/E&H/04


CLASS WORK SHEET

LECTURE-05

SIMPLIFICATION (ljyhdj.k)Q.1-20.What value will come in place of question mark (?) in the questions given below ?

fuEufyf[kr iz'uksa esa iz'uokpd fpUg ‘\’ ds LFkku ij D;k eku vk;sxk \Q.1. 26831 + 8348 - 2061 = ? × 58

(1) 569 (2) 573 (3) 575 (4) 571 (5) None of theseQ.2. (16)3- (16)2 = ?

(1) 3840 (2) 3620 (3) 3710 (4) 3550 (5) None of theseQ.3. 64% of 842 – ?% of 426 =334.4

(1) 34 (2) 38 (3) 42 (4) 46 (5) None of theseQ.4. 188×18×8-8088 = ?

(1) 18984 (2) 19022 (3) 18816 (4) 18626 (5) None of these

Q.5. 9984 ÷ ? = 384

(1) 636 (2) 646 (3) 656 (4) 666 (5) None of these

Q.6. 73

54

2

58

4

5 ?

(1) 17 (2) 12 (3) 121

5(4) 13

2

5(5) None of these

Q.7.1

70 25 140 5 . ?

(1) 0 (2) 245 (3) 5 (4) 100 (5) None of these

Q.8.16 6 2 3

23 3 2

?

(1) 7

17(2)

23

40(3)

14

23(4)

2

17(5) None of these

Q.9.4

20 3

18

301

?

(1) 4 (2) 5 (3) 25 (4) 29 (5) None of these

Q.10. 25 + 256 20 ?

(1) 60 (2) 65 (3) 58 (4) 50 (5) None of these

Q.11.18 2 36 4

?36 7.5 15 5

(1) 4.752 (2) 3.375 (3) 5.625 (4) 7.825 (5) None of these

Q.12.4 3 1 1

1 2 6 2 ?7 5 3 7

(1) 6

8105

(2) 38

8105

(3) 6

9105

(4) 13

15105

(5) None of these

Q.13. (73732 - 58607) ÷ 25 = ?(1) 610 (2) 615 (3) 625 (4) 605 (5) None of these

Q.14. [(145)2 ÷ 50 × 15)] ÷ 5 = ?(1) 1261.5 (2) 1361.5 (3) 1231.5 (4) 1331.5 (5) None of these

Q.15. 3 3307949 = ?

(1) 159 (2) 139 (3) 169 (4) 129 (5) None of these

BANK/MATHS/201707/SIMPLIFICATION/E&H/05


Q.16. 462.721 + 231.027 – 118.079 = 521.211 + ?

(1) 53.456 (2) 54.558 (3) 54.459 (4) 54.458 (5) None of these

Q.17.

7.5 1.75 2 ?

5

139 1521 59319 39

59319

(1) 2 (2) 5 (3) 7 (4) 9 (5) None of these

Q.18. 24% of 54% of 1250 + 28% of 875 = ?

(1) 379 (2) 358 (3) 407 (4) 400 (5) None of these

Q.19. 3 5 6 5 9 5 ? (1) 435 (2) 405 (3) 415 (4) 425 (5) None of these

Q.20. 2 2289 64 21 13 ?

(1) 1

2590 (2) 590 (3) 576 (4) 24 (5) None of these

Q.21-35. What approximate value will come in place of question mark (?) in the following questions?fuEufyf[kr iz'uksa esa iz'ufpõ ‘\’ ds LFkku ij yxHkx D;k ewY; vk;sxk \

Q.21. 39.86 ÷ 0.04 = ? – 398.68(1) 1400 (2) 1500 (3) 1450 (4) 1350 (5) 1300

Q.22. 21035 × ? = 3624 × 25.04

(1) 675 (2) 650 (3) 575 (4) 600 (5) 625

Q.23. 64% of 99.08 + 18.96 = 839 6 101.

?

(1) 1100 (2) 900 (3) 1000 (4) 1200 (5) 1300Q.24. 295.06 + 868.55 + 428.04 – 186.72 = ?

(1) 1250 (2) 1300 (3) 1365 (4) 1405 (5) 1465

Q.25.5

7

42

201 47

?

(1) 216 (2) 188 (3) 166 (4) 140 (5) 256

Q.26. 8787÷343× 50 ?(1) 250 (2) 140 (3) 180 (4) 100 (5) 280

Q.27. 23 54821 303 8 ?

(1) 48 (2) 38 (3) 28 (4) 18 (5) 58

Q.28.5

8 of 4011.33+

7

10 of 3411.22 ?

(1) 4810 (2) 4980 (3) 4890 (4) 4930 (5) 4850Q.29. 23% of 6783 + 57% of 8431 = ?

(1) 6460 (2) 6420 (3) 6320 (4) 6630 (5) 6360Q.30. 335.01×244.99÷55=?

(1) 1490 (2) 1550 (3) 1420 (4) 1590 (5) 1400

Q.31. 46633 +349 = ? ÷ 21.003

(1) 7600 (2) 7650 (3) 7860 (4) 7560 (5) 7680Q.32. 39.897% of 4331 + 58.779% of 5003 = ?

(1) 4300 (2) 4500 (3) 4700 (4) 4900 (5) 5100Q.33. 59.88 ÷ 12.21 × 6.35 = ?

(1) 10 (2) 50 (3) 30 (4) 70 (5) 90Q.34. 43931.03 ÷ 2111.02 × 401.04 = ?

(1) 8800 (2) 7600 (3) 7400 (4) 9000 (5) 8300

Q.35. 6354 × 34.993 = ?

(1) 3000 (2) 2800 (3) 2500 (4) 3300 (5) 2600

BANK/MATHS/201707/SIMPLIFICATION/E&H/05



CLASS WORK SHEET

LECTURE-06

PERCENTAGE-I (izfr'krrk&I)Q.1. If 40% of a number is 36. What will be 15% of that number ?

40 36 15

(1) 20.5 (2) 15.5 (3) 10.5 (4) 25.5 (5) 13.5

Q.2. 1/12 th of a number is 20. Which will be 200% of that number ?

1/12 20 200%

(1) 560 (2) 480 (3) 390 (4) 740 (5) 650

Q.3. By how much is 10% of 248.4 more than 5% of 242 ?

248.4 10 242 5

(1) 10.84 (2) 12.74 (3) 24.69 (4) 2.469 (5) 23.63

Q.4. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks.

The maximum marks are:

33% 125

40

(1) 300 (2) 500 (3) 800 (4) 600 (5) 1200

Q.5. A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more

than those required to pass. The approx passing percentage is-

A, 30% 15 B, 40%

35

(1) 33% (2) 38% (3) 43% (4) 46% (5) 52%

Q.6. In an examinations 1100 were boys and 900 girls 50% of the boys and 40% of the girls passed

the examination. The overall percentage of candidate who failed is -

1100 900 50% 40%

(1) 521

2% (2) 55

1

2% (3) 54

1

2% (4) Data inadequate (5) None of these

Q.7. In a class, 30% of the boys play football, 40% of the remaining play cricket and the remaining 21

boys play different other games. How many boys are there in the class ?

30% 40% 21

(1) 50 (2) 100 (3) 48 (4) 96 (5) None of these

Q.8. A vessel is full of mixture of spirit and water. In which there is 18% of spirit, 8 litres are drawn off

and the vessel is filled up with water. If the spirit is now 15%, how much maximum spirit does the

vessel hold ?

18% 8

15%

(1) 64 lt. (2) 42 lt. (3) 48 lt. (4) 56 lt. (5) None of these

Q.9. If an examination 63% of the candidates passed in English, 65% in Mathematics, and 27%

failed in both subjects. What percentage of students passed in both subjects?

63% 65% 27%

(1) 45 (2) 35 (3) 55 (4) 60 (5) None of these

Q.10. Guddu's marks in Geology is 25 less than 25% of the total marks obtained by him in Physics,

Maths and Geology. If his marks in Physics is 50. What is his mark in Maths ?

25% 25

50

(1) 40 (2) 45 (3) 50 (4) CND (5) None of these

BANK/MATHS/201707/PERCENTAGE-I/E&H/06


Q.11. A student has an average of 56% on the his first 5 examination. How much should be make on his

6th examination to obtain an average of 60% in 6 examinations ?

5 56% 6 60%

(1) 80% (2) 76% (3) 84% (4) CND (5) None of these

Q.12. In an examination, a candidate obtained 32% marks and failed by 16 marks. Another candidate

obtained 36% marks which is 10 marks more than the minimum necessary marks to pass. Find

the passing marks?

32% 16

36% 10

(1) 188 (2) 204 (3) 196 (4) 192 (5) 224

Q.13. If the numerator of a fraction is increased by 150% and the denominator of the fraction is in-

creased by 300%, the resultant fraction is 5/18. What is the original fraction ?

150% 300%

5/18

(1) 4

9(2)

4

5(3)

8

9(4)

8

11(5) None of these

Q.14. At an election involving two candidates, 68 votes were declared invalid. The winning candidate

secures 52% of valid votes and win by 98 votes. The total number of votes polled is -

68

52% 98

(1) 2382 (2) 2450 (3) 2518 (4) 2618 (5) 2568

Q.15. 10% of voters did not cast their vote in an election between two candidates. 10% of the votes

polled were found invalid. The successful candidate got 54% of the valid votes and won by a

majority of 1620 votes. The number of voters enrolled on the voters list was:

10% 10%

54% 1620

(1) 25000 (2) 33000 (3) 35000 (4) 40000 (5) 48000

Q.16. The monthly income of B is 30% more than that of A. The monthly income of A is 10% less than

that of C. If the monthly income of C is Rs. 3,300. What is the monthly income of B ?

B A 30 A

C 10 C 3,300

B

(1) Rs. 3,861 (2) Rs. 3,630 (3) Rs. 2,970 (4) Rs. 3,960 (5) Rs. 3,998

Q.17. A man spends 20% of his salary on food items, 25% of the remaining on house-rent, 331

3% of the

remaining on entertainment and 10% of the remaining on children's education. After this he paysRs. 900 as income tax and still save Rs. 2,340. How many Rs he spends on entertainment ?

20% 25% 331

3%

10% 900

2,340

(1) Rs. 9,000 (2) Rs. 2,800 (3) Rs. 1,800 (4) Data inadequate (5) None of these

Q.18. The population of a village is 10500. The number of children is twice the number of females andnumber of males is 40% of total population. What is the number of children in the village ?

10500

40%

(1) 2100 (2) 4200 (3) 4500 (4) 2500 (5) None of these

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CLASS WORK SHEET

LECTURE-07

PERCENTAGE-II (izfr'krrk&II)Q.1. If the price of petrol is increased by 30%, by how much percent a car owner must reduce his

consumption in order to maintain the same budget?

30%

(1) 21% (2) 1

21 %3

(3) 1

23 %13

(4)1

33 %13

(5) 33%

Q.2. Janki spends 20% of her monthly salary for her son's education. When she will get her increment

of Rs. 170 next month she plans to spends half of that also for her son's education.The total shewould spend then would be Rs. 645. What is her present salary ?

1 20%

170

645

(1) Rs. 3,225 (2) Rs. 600 (3) Rs. 2,800 (4) Rs. 2,970 (5) None of these

Q.3. Srawan spends 20% of his monthly salary on food, 40% of the remaining on house rent and

balance amount spends on other items of routine expenses. What is his yearly salary if hespends Rs. 5760 per month on other items of routine expenses?

20% 40%

5,760

(1) Rs. 120000 (2) Rs. 244000 (3) Rs. 144000 (4) Rs. 154000 (5) None of these

Q.4. The population of a village increases by 5% every year. If the population of the village in 1989 was

40,000. what is the expected population in 1992 ?

5 1989 40000 1992

(1) 46,305 (2) 44,100 (3) 46,000

(4) Cannot be determined (5) None of these

Q.5. In a recent survey 40% houses contained two or more people. Of those houses containing onlyone person 25% were having only a male. What to the percentage of all houses which contain

exactly one female and no males ?

40%

25%

(1) 75% (2) 40% (3) 45%(4) Data inadequate(5) None of these

Q.6. An HR Company employs 4800 people, out of which 45 percent are males and 60 percent of the

males are either 25 years or older. How many males are employed in HR Company who areyounger than 25 years ?

HR 4800 45 60 25

HR 25 ?

(1) 2640 (2) 2160 (3) 1296 (4) 864 (5) None of these

Q.7. The monthly income of B is 30% more than that of A. The monthly income of A is 10% less thanthat of C. If the monthly income of C is Rs. 3,300. What is the monthly income of A ?

B A 30 AC 10 C 3,300

A

(1) Rs. 3,861 (2) Rs. 3,630 (3) Rs. 2,970 (4) Rs. 3,960 (5) None of these

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Q.8. When the price of fans was reduced by 20%, the number of fans sold increased by 40%. What

was the effect on the sales rupees ?

20 40

(1) 12% decrease (2) 12% increase (3) 40% increase (4) 30% increase (5) 20% increase

Q.9. The length of a rectangle is increased by 30% and the breadth is decreased by 25%. What is the

percentage change in the area of the reatangle due to this?

30% 25%

(1) 25% decrease (2) 25% increase (3) 2.5% increase (4) 2.5% decrease (5) 20% increase

Q.10. The entry fee in an exhibition was Rs. 10. Later this was reduced by 25%, which increased the

sales of tickets by 20%, Find the percentage increase in the number of visitors.

10 25%

20%

(1) 54 (2) 50 (3) 57 (4) 60 (5) 66

Q.11. Rate of inflation is 1000% per annum. What is the value of an article two years from now if it costs

Rs. 6 today?

1000%

6

(1) 66 (2) 126 (3) 600 (4) 726 (5) 826

Q.12. A man spends 60% of his income. His income increases by 40%, and due to this, he increases

expenditure also by 40%. Find the percentage increase in his savings.

60% 40%

40%

(1) 30% (2) 4% (3) 4.44% (4) 40% (5) 35%

Q.13. The population of a town was 2,00,000. If the number of males increased by 10% and the number

of females decreased by 6%, the total population would have remained unchanged. The number of

males is-

2,00,000 10%

6%

(1) 80,000 (2) 75,000 (3) 72,000 (4) 78,000 (5) 12,5000

Q.14. The population of a town during first year increased by 4% and during second year diminished by 4%.

If at the end of the second year, the population of the town was 49920. Find the population initially?

4% 4%

49920

(1) 48000 (2) 48400 (3) 52000 (4) 50600 (5) 50,000

Q.15. 400 sweets has been distributed equally in children such that each could got 25% of total number

of children. How many sweets does each child got ?

400

25%

(1) 15 (2) 40 (3) 9 (4) 10 (5) None of these

Q.16. The ratio of incomes of A & B is 4 : 7 and income of A increased by 25% & B's in come decreased

by 50% the ratio of their incomes become 10 : 7. What is A's income ?

A B 4 : 7 A 25% B

50% 10 : 7 A

(1) Rs 26,000 (2) Rs 28,000 (3) Rs 21,000

(4) Data Inadequate (5) None of these


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CLASS WORK SHEET

LECTURE-8

PROFIT AND LOSS (ykHk vkSj gkfu)Q.1. By selling a VCD player for Rs. 1950, I got a profit of 30%. At what price should I sale it in order

to get a profit of 40%?

VCD 1950 30% 40%

(1) Rs. 2000 (2) Rs. 2100 (3) Rs. 2500 (4) Rs. 2400 (5) Rs. 2300Q.2. By selling a CD for Rs. 150 a shop owner lost 1/6 of what its cost price. What is the cost price

of CD.

CD 150 1/6

(1) Rs. 120 (2) Rs. 140 (3) Rs. 150 (4) Rs. 160 (5) Rs. 180Q.3. A man sold an article at a profit of 10%. If he had charged Rs. 45 more his profit percentage

would have been 25%. What is the cost price?

10% 45 25%

(1) Rs. 120 (2) Rs. 140 (3) Rs. 150 (4) Rs. 160 (5) Rs. 300Q.4. A trader purchases 2000 quantal of rice. He sells one fourth of it at a profit of 10% ,one-half at a

profit of 20% and the remaining at a loss of 8%. Had he sold the entire rice at a profit of 12%, hewould have gained Rs. 930 more. Find out the cost of rice per quantal ?

2000 10% 20%

8% 12% 930

(1) Rs. 30 (2) Rs. 35 (3) Rs. 28(4) Data inadequate(5) None of these

Q.5. Mohan buys a book for Rs. 600 and sells it a gain of 25%. If his overhead expenses are 5% ofselling price, he sold the book for ____

600 25%

5%

(1) Rs. 787.50 (2) Rs. 800 (3) Rs. 720(4) Data inadequate(5) None of these

Q.6. Namrata purchased 1375 kg. of rice. She sold 1

4th of the total quantity at a loss of 10%, half at

a profit of 8% . At what percentage profit should she sell the remaining rice to make 30% profitin the whole transaction ?

1375 1

4, 10% 8%

30%

(1) 15% (2) 162

3% (3) 15

3

4% (4) 20% (5) None of these

Q.7. Rajni purchased a mobile phone and a refrigerator for Rs.12,000?- and Rs.10,000/- respectively.She sold the refrigerator at a loss of 12 percent and mobile phone at a profit of 8 percent. What

is her overall loss/profit ?12000 10000

12 8(1) Loss of Rs. 280/- (2) Profit of Rs. 2,160/- (3) Loss of Rs. 240/-

(4) Profit of Rs. 2,060/- (5) None of these

BANK/MATHS/201707/PROFIT AND LOSS/E&H/08


Q.8. Raghav bought 35 kgs of rice at ̀ 12.50 per kg and 45 kgs of rice at ̀ 16.50 per kg. He mixed

them together. At what rate should he sell the mixture to earn 20% profit ?

35 ` 12.50 45 ` 16.50

20%

(1) ` 17.70 (2) ` 17.25 (3) ̀ 16.80 (4) ` 16.60 (5) None of these

Q.9. Seema purchased an item for ` 9,600/- and sold it for loss of 5 percent. From that money shepurchased another item and sold it for gain of 5 percent. What is her overall gain/loss ?

` 9,600/- 5

5

(1) Loss of ` 36/- (2) Profit of ` 24/- (3) Loss of ` 54/- (4) Profit of ` 36/-(5) None of theseQ.10. A person bought two radios in Rs.800 & sell it one 15% profit & second in loss of 15%. What is

the total selling price ?

800 15% 15%

(1) 680 (2) 920 (3) 800 (4) Data Inadequate (5) None of theseQ.11. Profit after selling a commodity for Rs. 425 is same as loss after selling it for Rs. 355. What is

the cost of the commodity?

425 355

(1) Rs. 285 (2) Rs. 390 (3) Rs. 395 (4) Rs. 400 (5) Rs. 450Q.12. A man purchased some eggs at the rate of 3 for a rupee and an equal number of eggs at the rate

of 5 for a rupee. He sold all of them at the rate of 4 for a rupee. What is his loss or gain percent?

1 3 1 5

1 4

(1) No loss, No gain (2) Gain 6 1/2% (3) Loss 6 1/4 %(4) Data Inadequate(5) None of these

Q.13. Rahul Saxena gets 20% profit on sale of 20 items in a rupee. What is the profit/loss in percentwhen he sales 25 item in a rupee ?

1 20 20% 1 25

(1) 25% Profit (2) 25% loss (3) 20% loss(4) Can't be determined (5) None of these

Q.14. A shop keeper purchased 40 dozens of apples at the rate of Rs. 40 per dozen. He spent Rs. 400on transportation while 40 apples were spoiled. In order to earn a profit of 10% at what price perdozen should he sell the remaining apples ?

40 40 400

40 10%

(1) Rs. 44 (2) Rs. 48 (3) Rs. 56 (4) Rs. 60 (5) None of theseQ.15. A man purchases M tables and N chairs spending Rs. 1,510 in all. A table cost Rs. 130 each

and a chair costs Rs. 30 each. What is the maximum possible value of M : N ?

1,510 M N 30

130 M : N

(1) 10 : 8 (2) 7 : 20 (3) 11 : 3 (4) 9 : 5 (5) 6 : 11Q.16. The profit earned by selling an article for Rs. 1,500 is three times the loss incurred, if the same

article is sold for Rs. 900. In order to earn a profit of 20%, at what price should the article be sold?

1500 900

20%


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CLASS WORK SHEET

LECTURE-9

PROFIT AND LOSS & DISCOUNT(ykHk] gkfu ,oa NwV)Q.1. A person sold his watch for Rs. 24 and got a percentage of profit equal to the cost price; then the

cost price is:

24

(1) Rs. 12 (2) Rs. 14 (3) Rs. 24 (4) Rs. 20 (5) Rs. 8Q.2. Sum of cost price of two cows is Rs. 13,000. Both the cows are sold at a profit of 20% and 40%,

respectively, with their selling price being the same. What is the difference of cost price of boththe cows?

13000 20% 40%

(1) Rs. 1000 (2) Rs. 2000 (3) Rs. 1500 (4) Rs. 1200 (5) Rs. 1800

Q.3. The cost price of 24 apples is the same as the selling price of 18 apples. Find the percentagegain.

24 18

(1) 1

12 %2

(2) 2

14 %7

(3) 2

16 %3

(4) 1

33 %3

(5) None of these

Q.4. Rahul sold 250 cycles and had a gain equal to the selling price of 50 cycles. What is the profitpercentage?

250 50

(1) 25% (2) 20% (3) 30% (4) 15% (5) 18%

Q.5. What is the profit percentage of a dishonest cloth merchant who professes to sell his articles atcost price but uses a scale which weighs less by 16.67%?

16.67%

(1) 20% (2) 16% (3) 30% (4) 15% (5) 12.5%Q.6. Jyoti bought a T.V. for Rs. 13,392 after getting discounts of 10% and 4% successively on the

marked price. Find the marked price.

10% 4% 13,392/-


Q.7. A trader gives a discount of 10% on electronic goods. Another successive discount of 5% ispremissible in case of purchase of Rs. 5,000 and above and 8% on purchase of Rs. 10,000 andabove. A man purchased a colour T.V. for Rs. 7695. Find out the Marked Price of the colour T.V.?

10% 5,000

5% 10, 000 8%

7695

(1) Rs. 9500 (2) Rs. 9000 (3) Rs. 8500(4) Rs. 8,800 (5) None of these

Q.8. An article is available on successive discounts of 20% and 15% respectively. If Rama bought itat Rs. 4,556 than what is the marked price ?

20% 15% 4,556

(1) Rs. 7000 (2) Rs. 7200 (3) Rs. 6700(4) Rs. 7500 (5) None of these

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Q.9. Radha bought an article with 20% discount on the labelled price. She sold the article inRs. 3,450 by making 15% profit on the labelled price. What was her approximate percent profiton the price she bought?

20% 15%

3,450

(1) 40% (2) 45% (3) 48% (4) 42% (5) 44%

Q.10. Sumit sold an article for Rs. 769.50 after giving 10% discount on the market price and made 25% profiton the cost price. What would have been the percentage profit it he had not given the discount ?

10% 769.50

25%

(1) 20% (2) 12.5% (3) 25% (4) 28% (5) None of these

Q.11. Asit purchased 150 indentical pieces of calculators at the rate of Rs. 250 each. He spent anamount of Rs. 2,500 on transport and packing. He fixed the labelled price of each calculator atRs. 320. How ever he decided to give a discount of 5% on the labelled price. What is percentprofit earned by him ?

150 250 2,500

320

5%

(1) 20% (2) 14% (3) 15% (4) 16% (5) None of these

Q.12. At what price should a shop-keeper mark an article that is Rs. 1500 in order that he may offer adiscount of 25% on marked price and still make a profit of 15%.

25%

15% 1500


Q.13. A shopkeeper marks the prices of his goods at 20% higher than the original price. After that heallows a discount of 10% . What profit or loss did he get?

20% 10%

(1) 10% (2) 8% (3) 12% (4) 32% (5) None of these

Q.14. A shop keeper sells 25 articles at Rs. 45/- per article after giving 10% discount and gains 50%profit. If the discount is not given. What is the profit gained ?

10% 45/- 25 50%

(1) 662

3% (2) 60% (3) 60

2

3% (4) 66% (5) None of these

Q.15. After enjoying two successive discounts of 30% each, a person paid Rs. 441 for an article. Ifthere would have been only one discount of 30%, how much additional amount would he havepaid ?

30% 441

30%

(1) Rs. 221 (2) Rs. 490.50 (3) Rs. 73.50(4) Rs. 189 (5) None of these

Q.16. The marked prices of an article in a shop is 20% more than the cost price. The shopkeeper givesa discount of Rs. 40 on a purchase of Rs. 960. What is net percent profit ?

20% 960

40

(1) 10% (2) 12% (3) 15%

(4) Data inadequate (5) None of these


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Q.17. Jatin purchased a toy with 30 percent discount on the labelled price and sold it with 40 percent

profit on the labelled price what was his percentage profit on the price he bought ?

30

40

(1) 50 (2) 70 (3) 80 (4) 100 (5) None of these

Q.18. A shop-keeper offers successive discounts of 25% and 20% on the marked price of a shirt. If the

selling price of the shirt be Rs. 360, what is the marked price ?

25% 20%

360,


Q.19. Pankaj bought a bag with 20% discount on the original price. He got a Profit of Rs. 50 by selling

at 150% of the Price at which he bought. What was the original Price of bag ?

20% 50

150%

(1) 175 (2) 150 (3) 100

(4) Data inadequate(5) None of these

Q.20. The marked prices of articles in a shop are 20% more than their cost prices. The shopkeeper

gives a discount of Rs. 40 on a purchase of Rs. 960. What is net profit percent ?

20% 960

40

(1)15% (2) 11% (3) 12% (4) 10% (5) None of these

Q.21. After enjoying two successive discounts of 30% each, a person paid Rs. 441 for an article. If

there would have been only one discount of 30%, how much additional amount would he have

paid ?

30% 441

30%

(1) Rs. 221 (2) Rs. 490.50 (3) Rs. 73.50

(4) Rs. 189 (5) None of these

Q.22. Tendulkar bought a bat with 20% discount on the labelled price. He sold the bat for Rs.1200 with

Rs. 80 profit on the bat. What was the labelled price (in Rs) of the bat ?

20% 1200 80

(1) 1600 (2) 2400 (3) 1400

(4) 1700 (5) None of these

Q.23. A Shopkeeper given the discount on calculator of 10% on marked price & takes the profit 12%.

What is the ratio of calculators cost price & marked price ?

10% 12%

(1) 45 : 158 (2) 50 : 61 (3) 99 : 105

(4) 45 : 56 (5) None of these

Q.24. A holding resort offers 10% discount to all its customers. It offers a further discount of 5% to the

card holders. Rama is a card holder and his bill is Rs. 5, 000. What will be his final discount bill?

10% 5%

5, 000

(1) Rs.4500 (2) Rs. 4000 (3) Rs. 4275

(4) Rs. 4250 (5) None of these


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Q.25. Amit bought a shirt with 25% discount on the original price. He got a profit of Rs. 42.5 by selling it

at a price 150% of the price at which he bought it. What was the original price (in Rs.) of the shirt ?

25% 42.50

150%


Q.26. A shopkeepers gives 12% additional discount after giving an initial discount of 20% on labelled

price of a radio. If sale price of radio is Rs 704. What is the labelled price of radio ?

20% 12%

704

(1) Rs. 844.40. (2) Rs. 928.28 (3) Rs. 1044.80

(4) Data Inadequate(5) None of these

Q.27. A shopkeeper sold an article for Rs. 834 after giving 10% discount on the marked price and

made 20% profit on the cost price. What would have been the percentage profit if he had not

given the discount.

10% 834

20%

(1) 38% (2) 28% (3) 32%

(4) 35% (5) None of these

Q.28. Find the percentage profit if the shopkeeper gives a discount of 17.5% on marked price of an

article.

17.5%

(A) Marked price of the article is Rs. 360./ 360

(B) Cost price of article is Rs. 265./ 265

(C) Selling price of article is Rs. 297./ 297

(1) Only B & C/ B C (2) Only A & C/ A C

(3) Only B / B (4) Only A & B / A B

(5) B and either A or C/B A C

Q.29. A shopkeeper gives three successive discount of 10%, 15% and 12% respectively. What is the

resulted discount that the customer avails.

10%, 15% 12%

(1) 67.32% (2) 32.68% (3) 37% (4) 36.72% (5) None of these

Q.30. A shopkeeper sells 30 articles at Rs. 47 per article after giving 10% discount and gains 50%

profit. If the discount is not given. What is profit gained ?

30 47 10%

50%

(1) 60% (2) 60 2/3% (3) 66 2/3% (4) 66% (5) None of these

Q.31. An article was purchased for ` 78, 350/. Its price was marked up by 30%. It was sold at a

discount of 20% on the marked up price. What was the profit percent on the cost price ?

` 78, 350/. 30%

20%

(1) 4 (2) 7 (3) 5 (4) 3 (5) 6

Q.32. A shopkeeper sells notebooks at the rate of Rs. 45/- each in one day and earns a commission

of 4%. He also sells pencil box at the rate of Rs. 80/- each in one day and earns a commission

of 20%. How much amount of commission will he earn in two weeks if he sells 10 notebooks

and 6 pencil boxes a day ?

45/- 4%

80/- 20%

10 6 ?

(1) Rs. 1,956/- (2) Rs. 1,586/- (3) Rs. 1,496/- (4) Rs. 1,596/- (5) None of these


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CLASS WORK SHEET

LECTURE-10

SIMPLE INTEREST (lk/kkj.k C;kt)Q.1. At what rate of simple interest will Rs. 4200 amount to Rs. 6216 in a span of 8 years?

4200 8 6216

(1) 5 % (2) 3% (3) 6% (4) 4% (5) 8%

Q.2. A sum fetched total simple interest of Rs. 5950/- at the rate of 8.5 p.c.p.a. in 5 years. What is

the sum?

5 8.5 5950

(1) Rs. 50575/- (2) Rs. 7225/- (3) Rs. 14450/-

(4) CND (5) None of these

Q.3. A person invests Rs. 5,000 at 5% p.a. simple interest for a certain period and earns Rs.750. If he

earns Rs. 720 on Rs. 6000 in the same time period then what is the rate of interest ?

5% 5,000

750 6000

720 6000

(1) 8% (2) 4% (3) 5% (4) 3% (5) None of these

Q.4. Dinesh opens a bank account by depositing Rs. 20,000 at the end of each year he withdraw a

sum of money that makes the balance exactly half of what it was at the beginning of that year. If

the bank pays 10% interest the total amount that Dinesh withdraws by the end of three years is

__

20,000

10%


Q.5. Rs. 6,000 is lent out in two parts such that the simple interest on the first part for 2 years at 6%

per annum is equal to the simple interest on the second part for 3 years at 8% per annum. Find

the second part ?

6,000 6%

8%

(1) Rs. 4000 (2) Rs. 4,800 (3) Rs. 4,500 (4) Rs. 2,000 (5) None of these

Q.6. Abhijeet lends 40% of sum at 15% p.a., 50% of rest sum at 10% p.a. and the rest at 18% p.a.

rate of interest. What would be the rate of interest if the interest is calculated on the whole sum?

40%, 15% 50%, 10% 18%

(1) 13.4% p.a. (2) 14.33% p.a. (3) 14.4% p.a. (4) 13.33% p.a. (5) None of these

Q.7. The difference between the interest received from two different banks on Rs. 740 each for 2 years

is Rs. 7.40. Find the difference between their rates.

740 7.40

(1) 0.50% (2) 0.25% (3) 5.0%

(4) Data indequate (5) None of these

Q.8. A, borrowed Rs. 5000 from B at simple interest. After 4 year , B received Rs. 1000 more than the

amount given to A on loan. What was the rate of interest per annum?

A B 5000 4 B 1000

A

(1) 5% (2) 25% (3) 20% (4) 4% (5) None of these

BANK/MATHS/201707/SIMPLE INTEREST/E&H/10


Q.9. A sum becomes double in 10 years with simple interest. What is the percent rate of interest per

annum?

10

(1) 10% (2) 2% (3) 12%


Q.10. A sum of money fetches its one-fourth as simple interest at the end of five years. What is the rate

of interest percent per annum?

1/4

(1) 5% (2) 2.5% (3) 4%


Q.11. The simple interest accrued in 8 years on a principal of ̀ 22,500/- is 128 percent of the principal.

What is the rate of interest p. c. p. a.?

` 22,500/- 128%

(1) 14 % (2) 18% (3) 16%


Q.12. The simple interest earned on a sum of money after 10 years at the rate of 5 per cent annum was

half of the sum. What was the sum ?

10 5

(1) Rs. 8,000 (2) Rs. 20,000 (3) Rs. 12,000


Q.13. Madhulika deposited two parts of a sum of Rs. 25,000 in different banks at the rates of 15% per

annum and 18% per annum respectively. In one year she got Rs. 4050 as the total interest. What

was the amount deposited at the rate of 15% per annum ?

25,000 15% 18%

4050 15%

(1) Rs. 10,000 (2) Rs. 15,000 (3) Rs. 9,000


Q.14. Durgesh borrowed an amount of Rs. 15,000 at the simple interest rate of 12 p.c.p.a. and another

amount at the simple interest rate of 13 p.c. p.a. for a period of two year each. He paid amount of

Rs. 8800 as total interest. What is the total amount borrowed ?

15,000 12% 13%

8800

(1) Rs. 18,000 (2) Rs. 32000 (3) Rs. 35000 (4) Rs. 33000 (5) None of these

Q.15. A certain sum of money at a certain rate become 2100 in 2 years and Rs. 2250 in 5 years. Find

the rate of interest?

2 2100 5 2250

(1) 5% (2) 2.5% (3) 3% (4) 6% (5) 8%

Q.16. A certain sum of money doubles itself in 16 years, then in how many years it will become 10

times.

16 10

(1) 144 (2) 180 (3) 80 (4) 60 (5) 20

BANK/MATHS/201707/SIMPLE INTEREST/E&H/10



CLASS WORK SHEET

LECTURE-11

COMPOUND INTEREST (pØo`f) C;kt)Q.1. What will be compound interest on a sum of Rs. 4800/- at the rate of 6 p.c.p.a. for 2 years ?

4800/- 2 6 (1) Rs. 544.96/- (2) Rs. 576/- (3) Rs. 593.28/-(4) Rs. 588/- (5) None of these

Q.2. What would be the compound interest obtained on an amount of Rs. 1,600 at the rate of 8 p.c.p.aafter three years ?1,600 8 ?(1) Rs. 415.5392 (2) Rs. 415.5315 (3) Rs. 415.5394(4) Rs. 415.5316 (5) None of these

Q.3. What would be the compound interest obtained on an amount of Rs. 8850 at the rate of 12 p.c.p.a.after two years?8850 12% (1) Rs. 2625.44 (2) Rs. 2450.44 (3) Rs. 2384.24(4) Rs. 2251.44 (5) None of these

Q.4. The compound interest accrued on an amount at the end of two years at the rate of 15 p.c.p.a. is` 2915.4. What is the amount ?

15 ` 2915.4

(1) ̀ 76,020/- (2) ̀ 9,040/- (3) ̀ 8,540/-(4) ̀ 10,250/- (5) None of these

Q.5. The compound interest accrued on an amount at the end of two years at the rate of 16 p.c.p.a. is` 3041.28. What is the amount ?

16 ` 3041.28

(1) ̀ 10,500/- (2) ̀ 9,000/- (3) ̀ 7,250/-(4) ̀ 8,800/- (5) None of these

Q.6. A sum of money becomes eight times in 3 year if the interest is compounded annually. In howyears the same amount at the same rate of interest will becomes sixteen times?

3 8

16

(1) 6 year (2) 4year (3) 8 year(4) 5 year (5) 9 year

Q.7. In a certain period Rs. 10000 amount to rupees 1,60000 at C.I. If the principle is invested for halfof the time period, find the amount.

10000 1,60000

(1) Rs. 50,000 (2) Rs. 40,000 (3) Rs. 80,000(4) Rs. 60,000 (5) Rs. 70,000

Q.8. If a sum of Rs. 10000 is placed at CI for 3 year while rate of interest for the first, second and thirdyear is 10%, 5% and 2% respectively, what amount will be receive.

10000 3

10%, 5% 2%

(1) Rs. 11781 (2) Rs. 11244 (3) Rs. 11231 (4) Rs. 11658 (5) Rs. 12000Q.9. What is the Principal which yields a simple interest of Rs 40 and a compound interest of Rs. 41 in

two years at the same percent rate per annum ?2 40 41


BANK/MATHS/201707/COMPOUND INTEREST/E&H/11


Q.10. What will the difference between simple interest to compound interest on the amount of Rs. 1200

at the rate of 5% annually for two years ?

1200 5%

(1) Rs. 3 (2) Rs. 4 (3) Rs. 2.50 (4) Rs. 3.50 (5) Rs. 6

Q.11. The difference between the compound interest and simple interest accured on a sum of money at

the end of the 3 year at the rate of 10 percent per annum is Rs. 50. What is the sum ?

3 10%

50

(1) Rs. 5,000 (2) Rs. 6,000 (3) Rs. 6,050 (4) Rs. 1512.90 (5) None of these

Q.12. The difference between the compound and simple interest on a certain sum of money at 8% per

annum for two years is Rs. 16. If the interest is compounded half yearly, what would be the

difference between compound and simple interest ?

8% 16

(1) Rs. 42.26 (2) Rs. 26.42 (3) Rs. 24.62


Q.13. A man borrows Rs. 4000 at 10% per annum on compound interest. At the end of every year he

pays Rs. 1500 as part payment of loan and interest. How much does he still owe to the bank after

3 such annual payments ?

10% 4000

1500

(1) Rs. 1850 (2) Rs. 1859 (3) Rs. 1750 (4) Data inadequate (5) None of these

Q.14. The difference between the compound and simple interest on a certain sum of money for 3 years

at 10% per annum is Rs. 713. What is the sum ?

10%

713


Q.15. Praveen taken certain amount as loan at 3% per annum & immediately lent Compounded it to 5%

half yearly. At the end of year he got a profit of 330 Rs. How much Rs. Praveen taken as loan?

3% 5%

330

(1) Rs 16000 (2) Rs 17500 (3) Rs 20000 (4) Rs 25000 (5) None of these

Q.16. The compound interest on a certain sum is Rs. 104 for 2 years and simple interest is Rs. 100 for

the same period. Find the approximate difference between Compound Interest and simple interest

of the same sum for 3 years ?

2 104 100

3

(1) Rs 12 (2) Rs 14 (3) Rs 16 (4) Rs 18 (5) Rs 10

Q.17. The diffirence between the compound and simple interest on a certain sum of money for 3 years at

62

3% per annum to Rs. 184. Find out the sum.

62

3% 184

(1) Rs. 13,500 (2) Rs. 12,500 (3) Rs. 10,500 (4) Rs. 11,500 (5) None of theseQ.18. If the interest is computed half yearly then find the CI on the Sum of Rs. 18500 at the rate of 40%

per annum for 18 months?18500 40% 18


BANK/MATHS/201707/COMPOUND INTEREST/E&H/11



CLASS WORK SHEET

LECTURE-12

AVERAGE (vkSlr)Q.1. The average of four consecutive even numbers is 127. Which of the following is the first number?

127

(1) 122 (2) 126 (3) 124 (4) 130 (5) 132

Q.2. The average of seven consecutive odd numbers is 423. What is the largest of these numbers?

423

(1) 425 (2) 427 (3) 429 (4) 431 (5) 421

Q.3. The average of the five consecutive even numbers is 42. Find the square of the half value of the

smallest number ?

42

(1) 1444 (2) 1764 (3) 324 (4) Data inadequate (5) None of these

Q.4. The average of two numbers is 7.5 and square root of their product is 6. What is smaller number?

7.5 6

(1) 3 (2) 6 (3) 9 (4) 5 (5) None of these

Q.5. The average of five positive numbers is 444. The average of first two numbers is 550 and that of

last two numbers is 150. What is the third number ?

444 550

150

(1) 805 (2) 815 (3) 820 (4) 810 (5) None of these

Q.6. In an entrance examination Ritu scored 56 percent marks, Smita scored 92 percent marks and

Rina scored 634 marks. The maximum marks of the examination are 875. What is the average

marks scored by all the three girls together ?

56 92 634

875 ?

(1) 1929 (2) 815 (3) 690 (4) 634 (5) None of these

Q.7. The average marks in English subject of a class of 24 students is 56. If the marks of the students

were misread as 44, 45 and 61 of the actual marks 48,59 and 67 respectively, then what would be

the correct average ?

24 56 44,

45 61 48,59 67 ?

(1) 56.5 (2) 59 (3) 57.5 (4) 58 (5) None of these

Q.8. The average weight of 40 children in a class is 36.2 kg. If 3 more children whose weights are 42.3

kgs, 39.7 kgs and 39.5 kgs joined the class what will be average weight of 43 children?

40 36.2 42.3 39.7 39.5

43

(1) 39.2 kg (2) 36.5 kg (3) 38.35 kg (4) 37.3 kg (5) None of these

Q.9. First ten mulfiples of 1, 2, .... 10 are taken. What is the average of all these 100 numbers?

1, 2, .... 10 100

(1) 25.5 (2) 50.5 (3) 75.5 (4) 65.5 (5) None of these

Q.10. The average age of 20 employees in a factory is 30 years. If the supervisor's age is added, the

average age is increases by one. What is the age of the supervisor ?

20 30

1

(1) 31 (2) 61 (3) 51 (4) 50 (5) None of these

Q.11. The average age of 12 players of a team is 25 years. If the age of the captain is added, the

average age increases by 1 year. What is the age of the captain ?

BANK/MATHS/201707/AVERAGE/E&H/12


12 25

1

(1) 25 years (2) 27 years (3) 26 years (4) 24 years (5) None of these

Q.12. The average age of 30 children in a class is 9 years. If the teacher’s age is added, the average age

becomes 10 years. What is the teacher’s age, in years ?

30 9

10

(1) 40 (2) 31 (3) 30 (4) 27 (5) None of these

Q.13. The average salary of a group of 27 is Rs. 3700/- If salary of one man is added then average

increases to Rs.3750. What is the salary of this one person?

27 3700/- 3750

(1) Rs. 5010/- (2) Rs.5100/- (3) Rs. 1350/-


Q.14. Subodh's marks in History is 20 more than the average marks obtained by him in Geography and

English. If his marks in English are 60, what are his marks in Geography ?

20

60(1) 40 (2) 60 (3) 80 (4) Data inadequate (5) None of these

Q.15. The average height of 3 boys A, B and C is 120 cms and their heights are in the proportion of 8:7:5

respectively. What is the height of ‘B’ in cms ?

3 120 8:7:5

(1) 120 (2) 126 (3) 90 (4) 84 (5) None of these

Q.16. The marks obtained by Richa in Hindi is 30 more than the average marks obtained by her in

History, Sanskrit and English. If sum of the makrs obtained by her in English and History is 70

then what is the marks obtained by her in Hindi ?

30

70

(1) 60 (2) 40 (3) 80


Q.17. The average age of 30 boys in a class is 15 years. One boy, aged 20 years left the class but two

new boys come in his place whose ages differ by 5 years. If the average age of all the boys now

in the class becomes 15 years, what is the age of the younger new comer?

30 15 20

5

15


Q.18. Average age of A, B and C is 84 years, however when D joins them then the average comes down

to 80. Now a new person E whose age is 3 years more than D replaces A and the new average is

79 years. What is the age of A?

A, B C 84 D 80

E D A 79

A

(1) 75 years (2) 79 years (3) 81 years (4) 77 years (5) 90 years

BANK/MATHS/201707/AVERAGE/E&H/12



CLASS WORK SHEET

LECTURE-13

RATIO AND PROPORTION (vuqikr ,oa lekuqikr)Q.1. Three-fifth of Gopal's money is equal to two-third of Subodh's money. What is the ratio between

Gopal and Subodh's money?3/5 2/3

?(1) 10 : 9 (2) 9 : 10 (3) 5 : 4 (4) Data Inadequate (5) None of these

Q.2. The difference between two numbers is one-seventh of the sum of these two numbers. What isthe ratio between the two numbers?

1/7(1) 2 : 3 (2) 3 : 4 (3) 4 : 3 (4) 3 : 2 (5) None of these

Q.3. An amount of money is to be divided between P, Q and R in the ratio of 2 : 5 : 7 respectively. Ifthe total of P's and R's share is Rs. 800 more than Q's share, what will be P's share in it ?

P, Q R 2:5:7 P R Q

800 P

(1) Rs. 200 (2) Rs. 400 (3) Rs. 800 (4) Rs. 1000 (5) None of theseQ.4. One-third of the boys and one half of the girls of a college participate in its social work project.

If the number of participating students is 300, out of which 100 are boys, what is the totalnumber of students in the college ?

300 100

(1) 900 (2) 600 (3) 700 (4) 800 (5) None of theseQ.5. Prakash gave one-third of the amount what he had to Kabir. Kabir in turn gave half of what he

received to Jayant. If Jayant receives Rs. 400 from Kabir, how much money did Prakash had?

400/- ?(1) Rs. 1200 (2) Rs. 4800 (3) Rs.3600 (4) Rs.2400 (5) None of these

Q.6. An amount of money is to be distributed among P,Q and R in the ratio of 2 : 7 : 9. The total ofP's and Q's share is equal to that of R's share. What is the difference between P's and Q'sshare ?

P,Q R 2 : 7 : 9 P Q

R P Q

(1) Rs. 5000/- (2) Rs. 7500/- (3) Rs. 9000/- (4) Data inadeuqate (5) None of theseQ.7. An amount of money is to be divided among A,B and C in the ratio of 3:5:9 respectively. If the

difference between A's and C's share is three times that of between B's and A's, What was thetotal amount for distribution?

A, B C 3 : 5 : 9 A C

B A

(1) Rs. 19380 (2) Rs. 18240 (3) Rs. 3230 (4) CND (5) None of theseQ.8. A sum of Rs. 6,000 is divided among A, B and C in the ratio of 4:3:5. What is the difference

between the amount B and C.

6000 A, B C 4:3:5 B C

(1) Rs. 2,500 (2) Rs. 2000 (3) Rs. 1,000 (4) CND (5) None of theseQ.9. 1/4th of Nakul's money is equal to 1/6th of Ramesh's money. If both together have Rs. 600,

what is the difference between their amounts?

1/4 1/6 600


BANK/MATHS/201707/RATIO&PROPORTION/E&H/13


Q.10. A sum of money is divided among three persons in the ratio 4:6:9. If the largest share is Rs.1,000 more than the smallest share, what is the total sum ?

4:6:9

1000

(1) Rs. 4,200 (2) Rs. 9,500 (3) Rs. 3,600 (4) Rs. 3,800 (5) None of theseQ.11. Neeraj got thrice as many marks in Maths as in English. The proportion of his marks in Maths

and History’s is 4:3. If his total marks in Maths, English and History are 250, what are hismarks in English ?

3

4:3 250

(1) 100 (2) 90 (3) 30 (4) 80 (5) None of these

Q.12. The prices of a T.V. set and a radio are in the ratio 7:2, If a T.V. set costs Rs. 3500 more than

a radio, what is the price of a radio ?

7:2 3500

(1) Rs. 1400 (2) Rs. 1200 (3) 700 (4) Rs. 500 (5) None

Q.13. An amount of money is to be divided among A,B and C in the ratio of 3:5:9 respectively. If the

difference between A's and C's share is three times that of between B's and A's, What was the

total amount for distribution?

A, B C 3 : 5 : 9 A C

B A

(1) 19380 (2) 18240 (3) 3230 (4) CND (5) None of these

Q.14. Some amount is given to Sandeep, Ramprakash and Shirish in the Ratio 7 : 8 : 10. If the sum of the

Sandeep and Shirish money is Rs. 2550/-. The share of Ram Prakash is how much more than that

of Sandeep.

7 : 8 : 10

2550

(1) 1050 (2) 1200 (3) 1500 (4) 150 (5) None of these

Q.15. The difference between the digits of a two-digit number is 4 and the ratio between the number

in the tenth place and the number in the unit place is 1:3. What is the sum of the digits of that

number?

1 : 3

(1) 9 (2) 6 (3) 12 (4) CND (5) None of these

Q.16. In a mixture of milk and water of volume 30 L, the ratio of milk and water is 7 : 3. Find the

quantity of water to be added to the mixture to make the ratio of milk and water 1 : 2.

30 7 : 3

1 : 2

(1) 30 (2) 32 (3) 33 (4) 35 (5) 38

Q.17. The monthly income of A and B are in the ratio of 3 : 2, and their expenditures are in the ratio of

5 : 3. If each of them saves Rs. 1000 a month, then what is the income of A?

A B 3 : 2 5 : 3

1000 A

(1) 4000 (2) 5000 (3) 6000 (4) 7000 (5) 9000

Q.18. A bag contains Rs. 600 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 3

: 4 : 12. Find the total number of 25 paise coins in the bag.

1 50 25 3 : 4 : 12 600

25

(1) 75 (2) 200 (3) 300 (4) 900 (5) 600

BANK/MATHS/201707/RATIO&PROPORTION/E&H/13



CLASS WORK SHEET

LECTURE-14

AGE (vk;q)Q.1. Three years ago Raman was four times as old as his son. If the total of their ages 5 years from

now will be 66 years. What is Raman's present age?

5 66

(1) 43 Years (2) 40 Years (3) 48 Years (4) CND (5) None of these

Q.2. The ratio between the present age of Navin and Samir is 5 : 3. If the difference between their ages

is 6 years. What will be Samir's age after 5 years ?

5 : 3 6 5

(1) 23 Years (2) 20 Years (3) 28 Years (4) 24 Years (5) None of these

Q.3. Prakash is as much younger than Tarun as he is older than Ashok. If the difference between the

present ages of Tarun and Ashok is 27 years, what will be Prakash's age after six years?

27

(1) 32 years (2) 30 years (3) 36 years (4) Data inadequate (5) None of these

Q.4. The ratio between the present ages of Saket and Sameer is 4:3 respectively. If the difference

between their ages is 10 years, What will be the total of their ages after 15 years?

4 : 3 10

15

(1) 85 years (2) 70 Years (3) 100 Years (4) 95 Years (5) None of these

Q.5. The ratio between the ages of father and son is 5:2. If the difference between their ages is 27

years, what will be the father's age after 6 years?

5:2 27

6


Q.6. The ratio of Vishal’s age and Neelu's age is 3:5 and sum of their ages is 80 years. Find the ratio

of their ages after 10 years?

3:5 80 10

(1) 3:2 (2) 3:5 (3) 2:3 (4) 1:2 (5) None of these

Q.7. Eight years ago, the age of A was twice the age of B and the ratio of their present ages is 6:5

Then what is the difference of their ages ?

8 A B 6:5

(1) 1 year (2) 4 years (3) 2 years (4) 3 years (5) None of these

Q.8. The present ratio of ages of Jaideep and Akash is 4:5. If Akash is elder than Jaideep by six years,

what was the ratio of their ages 4 years ago ?

4:5 6 4

(1) 10:13 (2) 8:9 (3) 14:17 (4) 1:2 (5) None of these

Q.9. The ratio of the ages of father and son at present is 6:1. After 5 years the ratio will become 7:2.

What is the present age (in years) of the son?

6:1 5 7:2

(1) 10 (2) 9 (3) 6 (4) 5 (5) None of these

BANK/MATHS/201707/AGE/E&H/14


Q.10. The ratio of Nutan’s age to Vidya’s age at present is 5:4, If the sum of their ages at present is 36,

what is Vidya’s age at present in years ?

5:4 36

(1) 18 (2) 16 (3) 12 (4) 20 (5) None of these

Q.11. The respective ratio between the present ages of son, mother, father and grandfather is 2:7:8:12.

The average age of son and mother is 27 years. What will be mother’s age after 7 years ?

2 : 7 : 8 : 12

27 7

(1) 40 year (2) 41 years (3) 48 years (4) 49 years (5) None of these

Q.12. Jayesh is as much Younger to Anil as he is older to Prashant. It the sum of the ages of Anil and

Prashant is 48 years, what is the age of Jayesh in years?

48

(1) 20 (2) 30 (3) 24 (4) CND (5) None of these

Q.13. Five years ago average age of P and Q was 15 years. Average age of P, Q and R today is 20

years. How old R will be after 10 years ?

5 P Q 15 P, Q R 20 10

R


Q.14. The ages of A and B are in the ratio of 6:5 and the sum of their age is 44 years.What will be the

ratio of their ages after 8 years?

A B 6:5 44 8

(1) 4:6 (2) 7:8 (3) 8:7 (4) 14:13 (5) None of these

Q.15. C’s mother was four times as old as C 10 years ago. After 10 years, she will be twice as old as

C. How old is C today ?

C 10 C 4 10 C C


Q.16. Six years ago the ratio of ages of Kamal and Mahendra was 6:5, four years hence the ratio of

their ages will be 11:10. What is Mahendra's age at present ?

6 6:5 4 11:10

(1) 14 years (2) 18 years (3) 16 years (4) CND (5) None of these

Q.17. The ratio between the present age of Ashok and his age four years hence is 4:5. the ratio

between the present ages of Ashok and Tushar is 4:7. What was Ashok's age five years back ?

4 : 5

4 : 7

(1) 12 Years (2) 14 Years (3) 16 Years (4) 11 Years (5) None of these

Q.18. The sum of the ages of 4 members of a family 5 years ago was 94 years. Today, when the

daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92.

Assuming that there has been no other change in the family structure and all the people are alive,

what is the difference in the age of the daughter and the daughter-in-law ?

5 4 94

92

(1) 22 years (2) 11 years (3) 25 years (4) 19 years (5) 15 years

BANK/MATHS/201707/AGE/E&H/14


CLASS WORK SHEET

LECTURE-15

PARTNERSHIP (lk>snkjh)Q.1. Avinash started a business investing Rs. 12000. Ashok joined him after 4 months by investing

Rs. 18000. What would be Ashok's share in the profit of Rs. 9500 at the end of the year?

12,000 4 18,000

9,500


Q.2. A started a business investing Rs. 80,000. After 3 months, B joined him, investing Rs. 50,000.

If at the year’s end they make a profit of Rupees 23,500, how much more will be A’s share than

B’s share in that profit ?

A 80000 3 50000 B

23500 A B

(1) Rs. 75,000 (2) Rs. 60,000 (3) Rs. 8,500

(4) Rs. 17,000 (5) None of these

Q.3. Jayant started a business investing Rs. 6,000. Six months later Madhu joined him investing Rs.

4,000. If they make a profit of Rs. 5,200 at the end of the year how much should be the share of

Madhu ?

6000 6 4000

5200

(1) Rs. 1,300 (2) Rs, 1,732 (3) Rs. 3,466

(4) Rs. 3,900 (5) None of these

Q.4. A and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3

months, A withdrew Rs.5,000 while B invested Rs.5,000 more. After 3 more months C joins the

business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of

26,400 after one year by.?

A B 16,000 12,000 3 A, 5000

B,5000 3 C, 21000

B C

26,400

(1) Rs.3,600 (2) Rs.4,800 (3) Rs.2,400 (4) Rs.1,200 (5) None of these

Q.5. A invested Rs. 45000 in a business. After 3 months B also entered the business and invested

Rs. 60000. At the end of the year the profit was Rs. 26000 .What was B's share?

A 45000 3 B, 60000

26000 B


Q.6. Bahadur started a business with Rs. 3,000. After six months, Umesh invested Rs. 2,000. If at

the end of the year, they gained Rs. 2,600, then Umesh’s share in the profit was :

3000 2000

2600

(1) Rs. 1,673 (2) Rs. 1,950 (3) Rs. 866 (4) Rs. 650 (5) None of these

Q.7. A started a business investing Rs.35,000. After six months B joined him with a capital of Rs.

60,000. At the end of the year the total profit was Rs. 26,000. What will be the difference

between the share of profits of A and B ?

A 35000 6 B, 60000

26000 A B

(1) Rs. 4,000 (2) Rs. 2,000 (3) Rs. 1,500 (4) Rs.3,000 (5) None of these

BANK/MATHS/201707/PARTNERSHIP/E&H/15


Q.8. Arun started a business investing Rs. 50,000. After three months Prakash joined him with acapital of Rs. 80,000. In what ratio should Arun and Prakash share their profit at the end of the

year?50000 80000

(1) 6 : 5 (2) 3 : 5 (3) 2 : 3 (4) 5 : 6 (5) None of these

Q.9. A started a business investing Rs. 8000/- After four months B joined him with Rs. 12000/-. Atthe end of one year the profit is Rs. 6000/-. What is B's share in it?

A 8000/- B 12000/-

6000/- B

(1) Rs.3000 (2) Rs.1200 (3) Rs.3600 (4) CND (5) None of theseQ.10. Prabir started a business investing Rs. 80000. Three month after he started Sunder joined him

with a capital of Rs. 60000. If at the end of the year, the total profit is Rs. 22000, what will be theSunder's share in it ?

80000 3 60000

22000

(1) Rs. 16000 (2) Rs. 8000 (3) Rs. 14000 (4) Rs. 6000 (5) None of theseQ.11. Rajesh, Ranjan and Jitendra invested Rs. 5000, Rs.10000 and Rs. 15000 respectively to start

a business. Rajesh left the business after one year. If at the end of two years, they earned aprofit of Rs.132000. What is Ranjan share in the profit?

5000, 10000 15000

132000


Q.12. Raghu began a business with Rs. 800 and was joined after wards by Nitin with Rs. 600. Whendid Nitin join if the profit at the end of the year was divided in the ratio of 4 : 1 ?

800 600

4:1

?

(1) after 6 months / 6 (2) after 4 months/4 (3) after 8 months / 8

(4) after 3 months / 3 (5) None of theseQ.13. Pratibha opened a workshop investing Rs. 40,000. She invested additional amount of Rs. 10,

000 every year. After two years Preeti joined him with an amount of Rs. 85,000. On completionof four years from the opening of workshop they earned an amount of Rs. 195,000. What will be

Pratibha's share in the earning ? 40,000 10, 000

85,000

195,000

(1) Rs. 1,35,000 (2) Rs. 1,10,000 (3) Rs. 85,000 (4) Rs. 95,000 (5) None of theseQ.14. Jatin started a business investing Rs. 1,00,000. After four months Anju and Vishnu joined with

Rs. 60,000 each. If Anju got Rs. 324,000 as profit after one year. How much did Jatin get ?1,00,000

60,000 324,000

(1) Rs. 12,000 (2) Rs. 24,000 (3) Rs. 30,000 (4) Rs. 18,000 (5) None of theseQ.15. Atul and Vimal started a Business in partnership investing Rs. 20,000 and Rs. 15,000 respec-

tively. After six months Ketan joined them with Rs. 20,000. What will be Vimal's share in thetotal profit of Rs. 25,000 earned at the end of two years from the starting of the business ?

20,000 15,000

20,000 2 25,000



BANK/MATHS/201707/PARTNERSHIP/E&H/15


CLASS WORK SHEET

LECTURE-16

MIXTURE AND ALLIGATION-I (feJ.k-I)Q.1. If the average weight of a class is 15 kg. and the average weight of another class is 30 kg. then

find the ratio of the students of the first class to another class students when the averageweight of both the classes is 25 kg.

15 30 25

(1) 1 : 2 (2) 2 : 1 (3) 3 : 1 (4) 1 : 3 (5) 2 : 3Q.2. The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly, salary

of officers is Rs. 2,100 and average monthly salary of the other wrokers is Rs. 340. Find thenumber of other workers in the factory.

660 380 2,100 340

(1) 650 (2) 670 (3) 645 (4) 850 (5) None of theseQ.3. A mixture of 40 litres of milk and water contain 10% water. How much water must be added to

make water 20% in the new mixture ?40 10% 20

(1) 10 litres (2) 7 litres (3) 8 litres (4) 12 litres (5) None of theseQ.4. A mixture of 45 litres of spirit and water, contains 20% water in it. How much water must be

added to it to make water 25% in the new mixture ?45 20%

25 (1) 5 liter (2) 4 liter (3) 6 liter (4) 3 liter (5) None of these

Q.5. Six litres of a 20% solution of alcohol in water are mixed with four litres of 60% solution ofalcohol in water. What is the alcoholic strength of the mixture?

20% 60%

(1) 30% (2) 25% (3) 40% (4) 36% (5) None of theseQ.6. One litre of water is evaporated from 6 litres of a solution containing 5% salt. The percentage of

salt in the remaining solution is -

6 5%

(1) 16% (2) 44

9% (3) 5% (4) Data Inadequate (5) None of these

Q.7. By mixing two varieties of tea costing Rs. 65 and Rs. 115 per kg. and selling the mixture at the

rate of Rs. 100 kg., a seller made a profit of 15%. In what ratio did he mix the two varieties ?

65 115

100 15%

(1) 101 : 129 (2) 100 : 113 (3) 129 : 101 (4) 129:100 (5) None of these

Q.8. A dishonest milk man fills up his bucket which has only 4/5th of milk, with water. He again

removes 5 litres of this mixture from the bucket and adds an equal quantity of water. If milk is

now 60% of the mixture then find the capacity of the bucket.

, 4/5

5 60%

(1) 25 litre. (2) 16 litre. (3) 20 litre. (4) Data inadequate (5) None of these

BANK/MATHS/201707/MIX/ALLIGATION-I/E&H/16


Q.9. By mixing two varieties of tea in the ratio 2 : 3 and mixture is sold in Rs. 22 per kg. by making

10% profit. If the cost price of first type of tea is Rs. 14 per kg., then find out the cost price of

second type of tea per kg?

2 : 3 22

10% 14

(1) Rs. 18 (2) Rs. 20 (3) Rs.16 (4) Rs. 24 (5) None of these

Q.10. Sweety bought 80 kg. of rice at the rate of Rs. 7.50 per kg. and 120 kg. of rice at the rate of Rs.

8.50 per kg. She mixed the two together, at approximately what price per Kg. should she sell

the mixture to make 35% profit on the whole ?

80 7.50 120 8.50

35%

(1) Rs. 9 (2) Rs. 10 (3) Rs. 12 (4) Rs. 15 (5) Rs. 11

Q.11. In what ratio must water be mixed with milk to gain 20% by selling the mixture at cost price.

20%

(1) 1 : 5 (2) 5 : 1 (3) 6 : 1 (4) 1 : 6 (5) None of these

Q.12. In an office the average weekly salary per head of all the employees (officers and clerks) is Rs.

600 the average weekly salary per head of all the officers is Rs. 900, while average weekly

salary per head of all the clerks is Rs. 550. Find the number of clerks in the office, if there are

15 officers?

600

900

550 15

(1) 60 (2) 75 (3) 100 (4) 90 (5) None of these

Q.13. Two vessel cantain milk and water in the ratio 9 : 1 and 2 : 3. In what ratio should mixture of both

vessel is mixed which cantain milk and water in the ratio 7 : 3.

9 : 1 2 : 3

7 : 3

(1) 3 : 2 (2) 2 : 3 (3) 5 : 3 (4) 3 : 5 (5) None of these

Q.14. In two alloys, copper and Zinc are related in the ratio of 4 : 1 and 1 : 3. Ten kg. of 1st alloy,

sixteen Kg. of 2nd alloy and some of pure copper are melted together. An alloy was obtained in

which the ratio of copper to Zinc was 3 : 2. Find the weight of the new alloy.

4 : 1 1 : 3

16

3 : 2

(1) 25 kg. (2) 28 kg. (3) 35 kg. (4) Data inadequate (5) None of these

Q.15. A man travell a distance of 80 km. in 7 hours partly on foot at the rate of 8 km.per hours and

partly on bicycle at 16 km. per hour. Find the distance travell on foot.

80 7 8

16

(1) 25 km. (2) 28 km. (3) 32 km. (4) 35 km. (5) None of these

BANK/MATHS/201707/MIX/ALLIGATION-I/E&H/16



CLASS WORK SHEET

LECTURE-17

MIXTURE AND ALLIGATION-II (feJ.k-II)Q.1. Alok bought 30 kg of wheat @ Rs. 4.75 per kg and 40 kg of wheat @ Rs. 4.25 per kg and mixed

them. He sold the mixture at the rate of Rs. 4.45 per kg. What is the profit or loss in the total

transaction ?

4.75 30 4.25

40 4.45

(1) Rs. 3.50 loss (2) Rs. 1 loss (3) Rs. 1 profit (4) Rs. 3.50 profit (5) None of these

A man lent out Rs. 9600 partly at 12% and partly at 14% simple interest. His total income after 1.5 years

was Rs. 1800. Find the ratio of the sum lent at 12% and 14% simple interest respectively?

9600 12% 14%

1.5 1800 12% 14%

(1) 5 : 1 (2) 4 : 1 (3) 3 : 1 (4) Data inadequate (5) None of these

Q.3. A merchant has 88 kg. of sugar. A part of this he sells at a gain of 10% and the balance at a loss

of 12%. On the total he loses 3%. What is the quantity sold at a loss of 12% ?

88 10% 12%

3% 12%

(1) 27 Kg. (2) 52 Kg. (3) 39 Kg. (4) 36 Kg. (5) None of these

Q.4. Ankit buys 70 Kg. of rice at Rs. 15 per Kg. and 30 Kg. at Rs. 11 per Kg. At what rate per Kg

should be sell the mixture of rice to earn 25% profit ?

70 15 30 11 25%

(1) Rs. 14.75 (2) Rs. 16.75 (3) Rs. 17.25 (4) Rs. 15.50 (5) None of these

Q.5. A grocer buys mustard oil at the rate of Rs. 34 a litre and repeseed oil at the rate of Rs. 30 a litre.

He mixes the two in the ratio of 2 : 1 and sells the mixture at the rate of Rs. 36 a litre. What

approximate profit percentage does he earn ?

34 , 30

2 : 1 36

(1) 10% (2) 8% (3) 12% (4) 16% (5) 14%

Q.6. Umang Publication sold 30% of the books at 50% profit and 70% of the books at 10% profit. If

the publication sell only these two kinds of books then find the average profit percentage.

30% 50% 70 10%

(1) 20% (2) 21% (3) 22% (4) 23% (5) None of these

Q.7. A bowler’s bowling average is 12.4. In the next match he took 5 wickets after giving 26 runs;

therefore his total average is decreased by 0.4. What is his total wickets till last match.

12.4 26 5

0.4

(1) 85 (2) 90 (3) 80 (4) 75 (5) 60

Q.8. Fresh nuts contains 80% water by weight; whereas dry nuts contain 50% water by weight.

Suresh buys 60 kg of fresh nuts for a total price of Rs.200. At what price per kg should he sell

the dry nuts (fresh nuts are dried up) to earn 20% profit?

80% 50%

60 200

20%

(1) Rs.10/- Kg. (2) Rs.12/- Kg. (3) Rs.15/- Kg. (4) Rs.14/- Kg (5) Rs.18/- Kg

BANK/MATHS/201707/MIX/ALLIGATION-II/E&H/17


Q.9. If a shopkeeper sells a table at a profit of 10% and a chair at a loss of 15%; he neither gains nor

loses on the whole. If he sells the table at 15% profit and a chair at a loss of 10%; he would

have gained Rs.150. Find the cost price of the table.

10% 15%

15%

10% 150

(1) Rs. 1200 (2) Rs. 1500 (3) Rs. 1800 (4) Rs. 1400 (5) Rs.1600

Q.10. A shopkeeper sold three articles A, B and C at 30%, 40% and 60% profit respectively. The

overall profit percentage made on selling B and C is 48% and that on A and C is 40%. Find the

overall profit percentage made on selling the three articles.

A, B C 30%, 40% 60% B C

48% A C 40%

(1) 10% (2) 15% (3) 20% (4) 40% (5) 35%

Q.11. In 42 liters mixture of solution of salt and water; 25% is salt. How much liter water should be

evaporated so that the salt becomes 35%?

42 25%

35%

(1) 10 (2) 12 (3) 15 (4) 20 (5) 25

Q.12. In a 120 liters mixture of milk and water; the percentage of the water is only 20%. The milkman

gave 15 liters of this mixture to a customer and then added 15 liters of water to the remaining

mixture. What is the percentage of the milk in the final mixture?

120 20% 15

15

(1) 50% (2) 55% (3) 60% (4) 70% (5) 80%

Q.13. The average age of a group of 6 persons increases by 1.5 years when 3 new members joined

the group whose average age is 18 years. Find the average age of the group initially.

6 1.5

18

(1) 12.5 (2) 13.5 (3) 14 (4) 14.5 (5) 15.5

Q.14. Three equal containers are filled with mixtures of spirit and water. In the first container, the ratio

of spirit to water is 1 : 3 in the second 3 : 5 and in the third 5 : 7. All the three mixtures are mixed

in a bigger container. Find the ratio of spirit to water in the resultant mixture ?

1 : 3 3 : 5 5 : 7

(1) 25 : 47 (2) 29 : 43 (3) 15 : 37 (4) 13 : 27 (5) None of these

Q.15. A vessel contains mixture of spirit and water. Spirit is 18%, 8 litres of mixture is taken out of the

vessel which is again filled with water. If the present percentage of spirit is 15% . Find the

quantity of the mixture in the vessel ?

18% 8

15

(1) 54 litres (2) 48 litres (3) 45 litres (4) Data inadequate (5) None of these

Q.16. Ratnesh travells 30 minutes at the speed of 25 km./hr. further he travells 20 minutes at the

speed of 40 km./hr. Find his average speed.

30 25 20 40

(1) 28 km./hr. (2) 29 km./hr. (3) 30 km./hr. (4) 31 km./hr. (5) None of these

BANK/MATHS/201707/MIX/ALLIGATION-II/E&H/17


CLASS WORK SHEET

LECTURE-18

TIME AND WORK-I (dk;Z ,oa le;-I)

Q.1. A can do3

4 of a work in 18 days. He can finish

1

4of the work in how many days ?

A 3/4 18 1/4

(1) 12 days (2) 24 days (3) 6 days (4) 8 days (5) None of these

Q.2. Tarun read 3

8of a book on one day and

4

5 of the remainder another day. If now there were 30

pages unread, how many pages did the book contain ?3

8

4

530

(1) 160 (2) 190 (3) 360 (4) 240 (5) None of these

Q.3. A and B complete a work in 30 and 20 days respectively. Together, in how many days will theycomplete 1/3rd part of that work ?

A B 30 20 1/3


Q.4. A,B & C can do a piece of work in 10 days. A & B can do it alone in 24 days and 30 daysrespectively. A & B worked together for 12 days. In how many days C alone can finish the remainingwork ?

A, B C 10 A B 24 30

A B 12 C

(1) 6 days (2) 8 days (3) 10 days (4) Data inadequate (5) None of these

Q.5. Ravi can complete a work in 10 days. Hari can complete the same work in 15 days. Ravi startedworking and after 4 days Hari, joined him. How many days more will they take to complete theremaining work ?

10 15

4

(1) 3 (2) 43

5(3) 3

3

5 (4) Data inadequate (5) None of these

Q.6. Anju and Jyoti can do a piece of work in 15 and 25 days respectively. They worked together butAnju leaves off before 5 days the completion of work. In how many days total work lasted for______.

15 25

5

(1) 71

2 days (2) 12 days (3) 12

1

2 days (4) 12

3

4 days (5) None of these

Q.7. A and B together can complete a task in 20 days. B and C together can complete the same taskin 30 days. A and C together can complete the same task in 40 days. What is the respectiveratio of the number of days taken by A when completing the same task alone to the number ofdays taken by C when completing the same task alone ?

BANK/MATHS/201707/TIME&WORK-I/E&H/18


A B 20 B C 30

A C 40 A

C

(1) 2 : 5 (2) 2 : 7 (3) 3 : 7 (4) 1 : 5 (5) 3 : 5

Q.8. Alok takes 20 days to finish a piece of work while Shanker takes 15 days to finish the samepiece of work. Harish work twice as fast as Alok. In how many days will all three of them together

can finish the same piece of work?20 15

(1) 5 (2) 6 (3) 7 (4) 8 (5) 4Q.9. A and B can do a work in 10 days and 15 days respectively. If A start the work and both work

alternatively day after day, in how many days will the work be completed?A B 10 15 A

(1) 10 (2) 12 (3) 8 (4) 9 (5) None of these

Q.10. A can complete a work in 10 days B in 15 days and C in 12 days. All of them begin the worktogether but A had to leave the work after two days of the start and C 3 days before the completation

of the work. How long did the work last?A 10 B, 15 C, 12

A 2 C 3

(1) 5 (2) 6 (3) 7 (4) 8 (5) None of theseQ.11. A and B can complete a task in 30 days while working together. After A and B have been working

together in 11 days, B is called away and A, complete the task all by himself in the next 28 days.If A has to work alone then in how many days the work will be completed?

A B 30 A B 11

B A 28 A

(1) 33 (2) 37 (3) 44 (4) 48 (5) None of these

Q.12. A is 30% more efficient than B. If A and B together complete a peice of work in 39 days. In howmany days will the work be complete by A?

A, B 30% 39 A

(1) 35 (2) 60 (3) 75 (4) 69 (5) None of theseQ.13. A is thrice as good work man as B and takes 60 days less then B for completing a work. In how

many days they can the complete the work while working together.A, B B 60

(1) 30 (2) 22.5 (3) 60 (4) 45 (5) 50

Q.14. A's efficiency is twice of B and they together can finish a work in 14 days. Find in how manydays A can alone finished this work?

A B 14

A

(1) 7 (2) 21 (3) 28 (4) 35 (5) 42Q.15. 3 typist Tauqeer, Amit and Ajay have to type 368 pages. Tauqeer types one page in 8 minute.

Amit can type a page in 18 minute and Ajay can type a page in 24 minute. In what time will thispages will type if they work together?

3 368 1 8 1

18 24

(1) 25 hr. (2) 27.6 hr. (3) 26.7 hr. (4) 28.5hr. (5) 25.8 hr.

BANK/MATHS/201707/TIME&WORK-I/E&H/18



CLASS WORK SHEET

LECTURE-19

TIME AND WORK-II (dk;Z ,oa le;-II)Q.1. 36 men can complete a work in 10 days. How many men will complete it in eight days?

36 10 8

(1) 48 (2) 32 (3) 40 (4) 44 (5) None of these

Q.2. In a field men work every day for 15 hrs. and women work for 12 hrs. Their wages are in the ratio

12 : 15. How many women would be working in the field ?

15 12

12 : 15


Q.3. Amitabh can do a piece of work in 20 days and Govinda can do it 30 days. They worked

together to earn Rs. 500 after the work was completed. What did Amitabh get ?

20 30

500 ?

(1) Rs. 200 (2) Rs. 300 (3) RS. 350 (4) Rs. 150 (5) None of these

Q.4. If 20 men complete a work in 72 days by working 10 hour a days, how many days will 40 men

take to complete the same work by working 8 hour a day ?

20 10 72

40 8

(1) 30 (2) 35 (3) 45 (4) 48 (5) None of these

Q.5. It takes 60 hours for 24 machines to print a Book. How many hours will 32 machines takes to

print the same Book ?

24 60 32

(1) 25 1/2 (2) 22 1/2 (3) 45 (4) 26 (5) None of these

Q.6. 12 men can complete a work within 9 days. They started the work after 3 days 6 men joined

them to repalce 2 men. How many days will they take to complete the remaining work ?

12 9 3 6 2

(1) 3 days (2) 5 days (3) 4 days (4) 2 days (5) 4.5 days

Q.7. 12 men complete a work in 18 days. Six days after they had started working, four more men

joined them. How many days will all of them take to complete the remaining work ?

12 18 6 4

(1) 8 (2) 12 (3) 15 (4) 9 (5) None of these

Q.8. 64 men can complete a work in 15 Days, To complete the same work in 12 days how many

more men required ?

64 15 12

(1) 80 (2) 16 (3) 64 (4) 27 (5) None of these

Q.9. 10 men can finish a piece of work in 10 days whereas it takes 12 women to finish it in 10 days.

If 15 men and 6 women undertake to complete the work how many days will they take to

complete it ?

10 10 12 10

15 6

(1) 2 (2) 4 (3) 5 (4)11 (5) None of these

BANK/MATHS/201707/TIME&WORK-II/E&H/19


Q.10. A piece of work can be done by 6 men and 5 women in 6 day or 3 men and 4 women in 10 days.

In how many days can it be done by 9 men and 15 women ?

6 5 6 3 4 10

9 15

(1) 1 day (2) 2 days (3) 3 days (4) 4 days (5) None of these

Q.11. 10 men can complete a work in 18 days. After 6 days, five more men are employed. In how

many days, the remaining work can be completed ?

10 18 6 5


Q.12. 14 workers produce 1400 toys in 5 days. After one day’s work was over, 14 more workers joined

them. In how many days can they complete the remaining work ?

14 5 1400 14

(1) 2 (2) 3 (3) 4 (4) 6 (5) 7

Q.13. Machine A can print a job in 8 hours. Machine B in 10 hours and Machine C in 12 hours. All

Machine were started at 8.00 a.m. Machine A broke down at 10.00 a.m. Approximately at what

time, the other two Machines to gether will finish the job ?

A B 10 C

12 A, 10

(1) 11 a. m. (2) 12.00 p. m. (3) 10.30 a. m. (4) 10.00 a.m. (5) 1.30 p.m.

Q.14. Two men or three women can complete a piece of work in 4 days. In how many days can 1

woman and one man together complete the same piece of work ?

4

(1) 6 days (2) 25

4days (3)

12

175. days (4) CND (5) None of these

Q.15. 2 men can complete a piece of work in 6 days. 2 women can complete same piece of work in

9 days, whereas 3 children can complete the same piece of work in 8 days. 3 women and 4

children worked together for 1 day. If only men were to finish the remaining work in 1 day, how

many total men would be required ?

2 6 2 9

3 8 3 4

1

(1) 4 (2) 8 (3) 6 (4) CND (5) None of these

Q.16. 45 Men complete work 'A' in 25 days and work 'B' in 24 days. How many days will it take for 15

men to completer both the work 'A' and 'B' together ?

45 'A' 25 'B' 24 15


Q.17. In a camp, there are provisions for 4000 men for 90 days. If after 30 days 800 men leave the

camp, find how long the remaining provisions will last ?

90 4000 30 800

?


Q.18. 2 men and 3 women can finish a piece of work in 15 days, while 4 men can do it in 15 days. In

how many days will 3 men and 3 women finish it ?

2 3 15 4 15

3 3



BANK/MATHS/201707/TIME&WORK-II/E&H/19


CLASS WORK SHEET

LECTURE-20

PIPE AND CISTERN (Vadh ,oa uy)Q.1. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets

will be needed to fill the same tank if the capacity of each bucket is 9 litres ?

13.5 12 9

(1) 8 (2) 13.5 (3) 18 (4) 16 (5) None of these

Q.2. Two pipes A and B together filled the tank in 31

13hour. Pipe A take 3 hours more than pipe B. How

much time the tank filled by A?

A B 31

13A, B 3

A

(1) 5 hour (2) 8 hour (3) 6 hour (4) 13 hour (5) None of theseQ.3. Pipe L is 6 times faster than second pipe K. If pipe K can fill a cistern in 21 minutes, then find the

time when the cistern will be full if both the pipes are opened together ?

L K 6 K 21

(1) 7 minutes (2) 5 minutes (3) 8 minutes (4) 3 minutes (5) 18 minutesQ.4. A tank is connected to two pipes. One of these pipes can fill the tanks in 15 minutes while the

other can empty it in 10 minutes. If the tank is initially3

5th full and both pipes are simultaneously

opened how much time it will take to fill or empty the tank ?

15

10 3

5

(1) 15 m. full (2) 12 m. full (3) 15 m. empty (4) 12 m. empty (5) None of these

Q.5. Two pipes can fill a cistern in 15 min. & 10 min. it takes 2 minutes extra due to a leak in the

cistern. Find out the time which the leak will take to empty the full cistern.

15 10

2

(1) 30 min. (2) 18 min. (3) 24 min. (4) 32 min. (5) None of these

Q.6. Two pipes A and B can fill a tank in 1.5hour and 75 minutes respectively. There is also an outlet

C. If all the three pipes are opend together, the tank is full is 60 minutes how much time will be

taken by C to empty the full tank?

A B 1.5 75

60 C

(A) 140 minutes (B) 90 minutes (C) 3

1232

minutes (D) 4

1287

minutes(5) None of these

Q.7. A cistern is normally filled in 8 hours but takes another 2 hours longer to fill because of a leak in

its bottom, if the cistern is full the leak will empty it in ?

8

(A) 60 hours (B) 50 hours (C) 40 hours (D) 30 hours (5) None of these

BANK/MATHS/201707/PIPE&CISTERN/E&H/20


Q.8. Two pipes A and B can separately fill a cistern is 8 hours and 12 hours respectively while a thirdpipe C can empty it in 10 hours.In what time will the cistern be full,it all the pipes are openedtogether?

A B 8 12 10

(A) 3

713

hours (B) 93

13 hours (C) 8

3

13hours (D) 9

2

11hours (5) None of these

Q.9. Two pipes L and P can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fillthe tank but when the tank is 1/4th full, a leak developes in the tank. through which one-fourthwater supplied by both pipes goes out. After it, the leak closed and both the pipes are openedagain. Find the total time taken to fill the tank ?

L P 20 30

(1) 16 hours (2) 12 hours (3) 15 hours (4) 10 hours (5) None of these

Q.10. Tap 'A' can fill a tank in 3 hours while tap 'B' and 'C' can empty the same tank in 8 hours and 12hours respectively. How ever taps 'B' and 'C' are attached to the tank at the middle level. If all thetaps are kept open simultaneously, in how much total time would the tank get full ?

'A' 3 'B' 'C' 8 12

'B' 'C'

(1) 9.5 hrs. (2) 5.5 hrs (3) 6.5 hrs. (4) 8.5 hrs. (5) None of these

Q.11. Two pipes K and P can fill a cistern in 12 and 16 minutes respectively. Both the pipes are openedtogether, but 4 minutes before the cistern is full one pipe K is closed. How much time will thecitern take to fill ?

K P 12 16

4 K

(1) 51

2 min. (2) 9

2

7 min. (3) 7

1

7 min. (4)

19

7 min. (5) None of these

Q.12. A water tank has two Pipes to fill water in it. One of the pipes fills water at the rate of 100 litres Perhour. The tank is filled by the other pipe in four hour and by both pipes together in 2.4 hours. Whatis the capacity of the tank in litres ?

100

4 2.4

(1) 600 litre (2) 550 litre (3) 500 litre (4) 610 litre (5) None of these

Q.13. Two pipes P and Q and fill a cistern in 3 minutes and 6 minutes respectively. While the third pipeR can empty the cistern in 4 minutes. All the three pipes are opened together but after 2 minutespipe R is closed. Find the time when the tank will be full ?

P Q 3 6 R

4 2

R

(1) 31

2 min. (2) 4 min. (3) 4

1

2 min. (4) 3 min. (5) None of these

BANK/MATHS/201707/PIPE&CISTERN/E&H/20



CLASS WORK SHEET

LECTURE-21

SPEED, TIME AND DISTANCE (pky] le; vkSj nwjh)Q.1. A man covers a distance of 285 km. in 6 hr. First part of the journey he covers at the speed of

40 km/hr. by bus. Second part of the journey he covers at the speed of 55 km./hr. by train

.What is the distance covered by train?

285 6 40 /

55

(1) 165 km. (2) 615 km. (3) 561 km. (4) 156 km. (5) None of these

Q.2. A truck covers a distance of 720 km. in 10 hr. A car covers the same distance in 8 hrs.What is

the ratio between the speed of truck and car?

720 10 8

(1) 7 : 2 (2) 8 : 1 (3) 9 : 1 (4) 5 : 3 (5) None of these

Q.3. A car covers the first 39 kms. of it’s journey in 45 minutes and covers the remaining 25 kms. in35 minutes. What is the average speed of the car ?

39 45 25 35

(1) 40 kms./hr. (2) 64 kms./hr. (3) 49 kms./hr. (4) 48 kms./hr. (5) None of theseQ.4. The respective ratio between the average speed of a car, a train and a tractor is 3 : 6 : 1. The

average speed of the train is six times the average speed of the tractor which covers 175 kmsin 7 hours. What is the sum of the speed of car and train together ?

3 : 6 : 1

7 175

(1) 225km/hr (2) 215 km/hr (3) 250 km/hr(4) Cannot be determined (5) None of these

Q.5. The average speed of a car is 1 4

5 times the average speed of a bus. A tractor covers 575 km

in 23 hours. How much distance will the car cover in 4 hours if the speed of the bus is twicespeed of the tractor ?

14

5575 23

4

(1) 340 kms (2) 480 kms (3) 360 kms (4) 450 kms (5) None of theseQ.6. The respective ratio between the speeds of a car, a jeep and a tractor is 3 : 5 : 2. The speed of

the jeep is 250 percent the speed of the tractor which covers 360 kms in 12 hours. What is theaverage speed of car and jeep together ?

3 : 5 : 2

250% 12 360

(1) 60km/hr. (2) 75 km/hr. (3) 40 km/hr.(4) Cannot be determined (5) None of these

Q.7. A truck covers a certain distance at the speed of 67 km/hr in 19 hours. What is the averagespeed of car covering 266 km more distance in the same time ?

67 / 19 266

(1) 82 km/hr (2) 81 km/hr (3) 84 km/hr (4) CND (5) None of these

BANK/MATHS/201707/SPEED,TIME&DIS./E&H/21


Q.8. An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover

twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter

cover in 18 hours ? (assuming that flights are non-stop and moving with uniform speed)

756 9

48 18

(1) 5014 km (2) 5140 km (3) 5130 km (4) 5103 km (5) None of these

Q.9. Philip, Tom and Brad start jogging around a circular field and complete a single round in 18, 22

and 30 seconds respectively. In how much time will they meet again at the starting point ?

18, 22

30

(1) 8 mins. 15 sec. (2) 21 mins. (3) 16 mins. 30 sec.

(4) 12 mins. (5) None of these

Q.10. A, B and C start simultaneously from X to Y. A reaches Y, turns back and meet B at a distance

of 11 km away from Y. B reached Y, turns back and meet C at a distance of 9 km away from Y.

If the ratio of the speeds of A and C is 3:2, what is the distance between X and Y?

A, B C X Y A,Y B Y 11

B, Y C Y 9

A C 3 : 2 X Y

(1) 1 km. (2) 89 km. (3) 99 km. (4) Both 1 and 2 (5) Both 1 and 3

Q.11. Two cars starts at the same instance from two places 120 Km apart. They will meet each other

in one hour if they travel in opposite direction and after 6 hours if they travel in same direction.

Find the speed of the car running slow?

120

6

(1) 20 km./hr. (2) 30 km./hr. (3) 50 km./hr. (4) 60 km./hr. (5) 70 km./hr.

Q.12. Bablu has to travel from point A to D. He decided to divide journey in 3 equal parts. For first part

of travel he walks with a speed of a km/hr. and take a rest for a hrs, for second part he doubles

his speed and rest time also for third part he again doubles his previous speed and thus

reaches D in 16 hours. Find the maximum speed with which he started to travel if the distance

between A and D is 36 km.

A D

a / a

D 16

A D 36

(1) 1 km./hr. (2) 1.5 km./hr. (3) 2 km./hr. (4) 2.5 km./hr. (5) 3 km./hr.

Q.13. A man walking at a speed of 45 km/hr reaches station 10 minute late. Next time he increases

his speed by 15 km/hr but still late by 5 minutes. Find the distance of station from his house.

45 / 10

15 / 5

(1) 10 km. (2) 15 km. (3) 20 km. (4) 25 km. (5) 30 km.

BANK/MATHS/201707/SPEED,TIME&DIS./E&H/21



CLASS WORK SHEET

LECTURE-22

TRAIN (jsyxkM+h)Q.1. A train running at the speed of 180 km/hr. crosses a pole in one minute. What is the length of the

train?

180

(1) 50 metres (2) 500 metres (3) 3 metres (4) CND (5) None of these

Q.2. A train running at an uniform speed of 48 kmph crosses a 140 metre long platform in 18 seconds.

What is the length of the train?

48 140 18

(1) 90 metres (2) 120 metres (3) 100 metres (4) Data inadequate(5) None of these

Q.3. A train crosses a man standing on the platform in 10 seconds. How much time will it take to

cross the platform of length 150 metres?

10 150

(1) 150 Seconds (2) 300 Seconds (3) 30 Seconds (4) Data inadequate (5) None of these

Q.4. A 150 metre long train crosses a man walking at a speed of 6 km per hour in the opposite

direction in 6 seconds. What is the speed of the train in km per hour ?

150 6

6

(1) 74 kmph (2) 84 kmph (3) 106 kmph (4) 66 kmph (5) None of these

Q.5. Train A travelling with a speed of 90km/hr crosses a 500 m long train B travelling in the opposite

direction in 36 seconds. What is the length of the train A in metres ?

A 90 500 B 36

A


Q.6. Two trains are running in a opposite direction with the same speed. If the length of a each train is

120 metre and they cross to each other in 12 second. Find the speed of a each train (km./hr.).

120

12

(1) 10 (2) 18 (3) 36 (4) 72 (5) 48

Q.7. A train passes a pole in 15 seconds and passes a platform of 100 metres in 30 seconds. What

is the length of the train in metres ?

15 100 30


Q.8. If a train moves 11/8 of its normal speed then it take 22 hours to cover a certain distance. If train

moves its new speed then how much time it saves?

11/8

22

(1) 6.25 hr. (2) 8.25 hr. (3) 16 hr. (4) 15 hr. (5) 5.30 hr.

Q.9. 180 metre long train crosses a signal-post in 9 Second. What is the speed of the train in Kmph?

180 9

(1) 72 (2) 64 (3) 84 (4) Data Inadequate (5) None of these

Q.10. Two trains running in the opposite directions, crossess a man who is standing at platform, in 27

seconds and 17 seconds and crossess each other in 23 sec. What is the ratio of their speeds ?

BANK/MATHS/201707/TRAIN/E&H/22


27 17

23

(1) 3:2 (2) 3:4 (3) 1:3 (4) Data inadequate (5) None of theseQ.11. Two trains are running in opposite directions at the speeds of 50 km/hr & 40 Km/hr. respectively.

If the length of the one train 215 m and they cross each other in 16 seconds, what will be thelength of the other train ?

50 40

215 16

(1) 210 metre (2) 190 metre (3) 185 meter (4) 205 metre (5) None of these

Q.12. A train after travelling 48Kms. meets with an accident and then proceeds at 3

4 of its former

speed and arrives at its destination 92 minutes late. Had the accident occured 72 km, further, itwould have reached the destination only 80 minutes late. Find the speed of the train ?

48 3

4

92 72

80

(1) 100 Km. ph (2) 120 Km. ph (3) 90 Km. ph (4) 150 Km. ph (5) None of these

Q.13. The speeds of two trains are in the ratio 3 : 4. They are moving in opposite directions on parallel

tracks. The first train crosses a telegraph pole in the same time as the second which takes 8

seconds. Find the time taken by the trains to cross each other ?

3 : 4

8

(1) 8 second (2) 6 second (3) 7.5 second (4) 7 second (5) Data inadequate

Q. 14. Two trains are running in the same dircetion at 90 km/hr. and 60 km/hr. The faster train crosses a

man sitting in the slower train in 9 seconds. Find the length of the faster train ?

90 60

9

(1) 75 meter (2) 100 meter (3) 50 meter (4) data inadequate (5) None of these

Q.15. A train overtakes two persons who are walking in the same direction as the train is moving at the

rate of 2 km.ph. and 4 km.ph. and a train passes them completely in 8 and 9 seconds respectively.

Find the speed of the train ?

2 4

8 9

(1) 35 km.ph. (2) 45 km. ph. (3) 20 km.ph (4) Data inadequate (5) None of these

Q.16. Two trains X and Y starts from stations A and B towards B and A respectively. After passing each

other they take 4 hours 48 minutes and 3 hours 20 minutes to reach B and A respectively. If train

X is moving at 45 kmph then find the speed of train Y ?

X Y A B

B A 4 48 3 20 X

45 Y

(1) 54 Kmph (2) 48 Kmph (3) 36 Kmph (4) Data Inadeqaute (5) None of these

BANK/MATHS/201707/TRAIN/E&H/22



CLASS WORK SHEET

LECTURE-23

BOAT AND STREAM (uko ,oa /kkjk)Q.1. A boat covers 15 km. in 2.5 hours with stream and against stream same distance travelled in 3

hours, What would be speed of boat in still water ?

15 2.50

3

(1) 5.5 km/h. (2) 6 km/h. (3) 8 km/h. (4) Data Inadequate (5) None of theseQ.2. A boat takes double the time to travel upstream then it takes downstream the speed of water is

3 km./hr. Find the speed of boat?

3

(1) 7 km/hr. (2) 9 km/hr. (3) 11 km/hr. (4) data inadequate (5) None of theseQ.3. If a boat goes 100 km downstream in 10 hours and 75 km upstream in 15 hours, then the speed of stream

is-

10 100 15 75

(1) 2 km/hr. (2) 3 km/hr. (3) 2.5 km/hr. (4) 3.5 km/hr. (5) None of theseQ.4. A boat travels 10 m in one hour down stream and 14 km. in 2 hours up stream. The time it will

take to travel 17 km. in still water is-

10 14

17

(1) 1 hour (2) 2 hour (3) 1

12

hours (4) 2

13

hours (5) None of these

Q.5. A boat goes 30 km. downstream in one hour and the same distance upstream in two hours.Thespeed of the boat in still water is-

30

2

(1) 35

2km/hr.. (2)

55

2km/hr.. (3)

45

2km/hr.. (4)

49

2km/hr.. (5) None of these

Q.6. A boat goes 25 km down stream in one hour and the same distance upstream in two hours. Thespeed of the boat in still water is.

25

(1) 18.75 km/hr (2) 20.75 km/hr (3) 15.50 km/hr (4) 18.00 km/hr (5) None of theseQ.7. A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of

current.

20 3 18

(1) 1

2km/hr (2)

3

2km/hr (3)

1

3km/hr (4)

3

4km/hr (5) None of these

Q.8. A boat takes 9 hours to travel from A to B upstream. If the river current is 3 km. per hour, how longwill it take to travel downstream between B and A ?

A B 9 3

B A

(1) 3 hours (2) 6 hours (3) 4.5 hours (4) data inadequate (5) None of these

BANK/MATHS/201707/BOAT&STREAM/E&H/23


Q.9. A man can row 40 Km. upstream and 30 Km. downstream in 13 hours. Also he can row 30 Km.

upstream and 40 Km. downstream in 111

2 hours.Find the speed of the current ?

13 40 30 111

2

30 40

(1) 5 Kmph (2) 3 Kmph (3) 4 Kmph (4) Data inadequate (5) None of these

Q.10. A boat takes 3 hours to cover a certain distance when going with the stream and 5 hours to return

to the starting point. The rate of flow of the river is 5 Kmph. Find the speed of the boat in still

water?

3 5

5

(1) 16 Kmph. (2) 10 Kmph. (3) 20 Kmph (4) Data inadequate (5) None of these

Q.11. A boat covers 24 km. up stream and 36 Km. down stream in 8 hours while it covers 12 Km.

upstream and 24 km. down stream in 5 hours. What is the difference between the speed of boat

and that of current ?

24 36 8

12 24 5

(1) 6 kmph. (2) 1 Kmph. (3) 2 kmph. (4) 8 Kmph. (5) None of these

Q.12. A man can swim 9 km./hr. in still water and he finds that it takes him thrice as much time to

swim upstream as to swim downstream. Find the speed of current?

9

(1) 1 km./h. (2) 2 km./h. (3) 3 km./h. (4) 5 km./h (5) None of these

Q.13. The speed of a boat in still water is 8 kmph. The boat goes 6 km. and back to the starting point in

2 hours. Find the speed of the stream ?

8 6

2

(1) 4 kmph. (2) 6 kmph. (3) 4.4 kmph. (4) 5 kmph. (5) None of these

Q.14. A boat travels 40 km. up stream and 55 km. down stream in 13 hours. It takes 10 hours to travel

30 km. up stream and 44 km. down stream. Find the speed of boat in still water ?

40 55 13

30 44 10

(1) 6 km./h. (2) 8 km./h. (3) 10 km./h. (4) 3 km./h (5) None of these

Q.15. Two places A and B are 108 km. apart. Two boats starts towards each other from these two

places at a speed of 12 km./hr. and 15 km./hr.(in still water). After what time they will meet each

other?

A B, 108 12 15

(1) 1 hour (2) 2 hour (3) 3 hour (4) 4 hour (5) None of these

Q.16. A person can travel upstream with speed of 16 km./hr. and cover the same distance downstream

speed of 28 km./hr. What would be his average speed ?

16

28

(1) 32 km/h. (2) 224/11 km/h. (3) 22 km/h. (4) 10 km/h. (5) None of these

BANK/MATHS/201707/BOAT&STREAM/E&H/23



CLASS WORK SHEET

LECTURE-24

MENSURATION ({ks=fefr)Q.1. The area of a circle is 3850 square metres. What will its circumference be?

3850

(1) 233 metres (2) 226 metres (3) 230 metres (4) 220 metres (5) 249 metresQ.2. If the perimeter of a rectangle is 180 metres and the difference between the length and the breadth

is 8 metres, what is the area of the rectangle?180 8

(1) 2116 square metres (2) 2047 square metres (3) 2090 square metres(4) 2178 square metres (5) None of these

Q.3. Area of a rectangular field is 3584m2 and the length and the breadth are in the ratio 7 : 2 respectively.What is the perimeter of the rectangle?

3584 2 7 : 2

(1) 246 m. (2) 292 m. (3) 286 m. (4) 288 m. (5) None of theseQ.4. The area of a square is twice the area of a rectangle. If the area of the square is 324 sq. cms. and

the length of the rectangle is 13.5 cms., what is the difference between the breadth of therectangle and the side of the square ?

324

13.5

(1) 8 cms. (2) 10 cms. (3) 12 cms. (4) 6 cms. (5) None of theseQ.5. What would be the area of a circle whose circumference is 22 cms. ?

22

(1) 34.25 sq.cms. (2) 38.5 sq.cms. (3) 37.5 sq.cms. (4) 36.75 sq.cms. (5) None of these

Q.6. A rectangular field has its length and breadth in the ratio of 5 : 4 respectively. A man riding abicycle, completes one lap of this field along its perimeter at the speed of 9 km./hr. in 3 minutes

and 36 seconds. What is the area of the field ?5 : 4 9

3 36

(1) 18000 sq.mts. (2) 16540 sq.mts. (3) 17500 sq.mts.(4) Cannot be determined (5) None of these

Q.7. The perimeter of a triangle is 54 m and the sides are in the ratio of 5 : 6 : 7. The area the triangle is-

,d f=Hkqt dk ifjeki 54 eh- gS vkSj mldh Hkqtk, 5 : 6 : 7 ds vuqikr esa gSA f=Hkqt dk {ks=Qy D;k gS?

(1) 18 m2 (2) 54 6 m2 (3) 27 2 m2 (4) 25 m2 (5) None of these

Q.8. The perimeter of a rectangle and a square are 160m. each. The area of the rectangle is less thatof the square by 100 sq m. The length of the rectangle is -

,d vk;r vkSj ,d oxZ izR;sd dk ifjeki 160 eh gSA vk;r dk {ks- oxZ ds {ks- ls 100eh2 de gS rks vk;rdh yEckbZ gS &(1) 64 m/eh (2) 55 m/eh (3) 50 m/eh (4) 40 m/eh (5) None of these

Q.9. Curved surface area of a cylinder is 1232 sq cm. If circumference of its base is 154 cm, then whatwill be the height of the cylinder? (Take = 22/7)

,d csyu ds oØ lrg dk {ks=Qy 1232 oxZ lseh- gSA ;fn blds vk/kkj dh ifjf/k 154 lseh- gS] rks mlcsyu dh Å¡pkbZ fdruh gksxh\ ( = 22/7 yhft,)

(1) 16 cm / lseh- (2) 4 cm / lseh- (3) 8 cm / lseh- (4) 12 cm/ lseh- (5) None of these

Q.10. If the ratio of area of two squares is 4 : 3, then what is the ratio of their perimeter ?

4 : 3

(1) 16 : 9 (2) 4 3 8: (3) 8 4 3: (4) 4 4 3: (5) None of these

BANK/MATHS/201707/MENSURATION/E&H/24



Q.11. If the length of the diagonal of a square is 8 mt. then what is the length of its each side ?

8

(1) 4 metre (2) 6 metre (3) 4 2 metre (4) 3 3 metre (5) None of these

Q.12. The base of a triangle is 16 cm and perpendicular is 9 cm. What is the area ?

16 9

(1) 73 cm2 (2) 74 cm2 (3) 72 cm2 (4) 70 cm2(5) 65 cm2

Q.13. The length of a rectangle which is 25 cm is equal to side of a square and area of the rectangle is

125 cm2 less than that of square. What is the breadth of the rectangle ?

25

125 2

(1) 15 cm. (2) 20 cm. (3) 12 cm. (4) 10 cm. (5) None of these

Q.14. The area of a square is one-eight the area of a rectangle. The area of the rectangle is 3200 sq.

cm an the length of the rectangle is 40 cm what is the difference between the side of the square

and the breadth of the rectangle ?

3200

40

(1) 80 cm (2) 60 cm (3) 100 cm (4) 40 cm (5) None of these

Q.15. The circumference of a circle is 44 cm. What is its area ?

44

(1) 1232 sq.m. (2) 616 sq.m. (3) 1848 sq.m. (4) 154 sq.m. (5) None of these

Q.16. The area of a rectangle is 372 cm2. The length of a rectangle is equal to the side of a square

whose perimeter is 48 cm. What is the breadth of the rectangle ?

372 2 48


Q.17. The side of a square is 4 cms less than the length of a rectangle and breadth of the rectangle is

8 cms less than the side of the square. The area of the square is 361 sq. cms. What is the area

of the rectangle ?

4 8

361

(1) 253 sq. cms (2) 260 sq. cms (3) 254 sq. cms (4) 258 sq. cms (5) None of these

Q.18. The area of a square is 4

3 that of a rectangle. If area of square is 1024 sq. cm. and breadth of the

rectangle is 12 cm. then what is the difference between length of the rectangle and side of thesquare ?

4

3 1024

12


Q.19. What is the circumference of circle inscribed in a triangle having length of sides 35 cm, 44 cm

and 75 cm.

ml o`Ùk dh ifjf/k D;k gS] tks 35 lseh-] 44 lseh- vkSj 75 lseh- f=Hkqt esa [khapk tkrk gS \(1) 8 cm./lseh- (2) 12 cm./lseh- (3) 16 cm./lseh-(4) 7.4 cm./lseh- (5) None of these

Q.20. From the four corners of a rectangular sheet of dimensions 25 cm x 20 cm, square of side 2 cmis cut off from four corners and a box is made. The volume of the box is-

25 lseh- 20 lseh vk;rkdkj 'khV ds pkjksa dksuksa ls 2 lseh Hkqtk ds pkj oxZ dkVdj ,d ckWDl cuk fn;ktkrk gSA ckWDl dk vk;ru gSA(1) 828 cm3 (2) 672 cm3 (3) 500 cm3 (4) 1000 cm3 (5) None of these

BANK/MATHS/201707/MENSURATION/E&H/24


CLASS WORK SHEET

LECTURE-25&26

DATA INTERPRETATION-I (vkadM+s fo'ys"k.k-I)Q.1-5. Read the following table carefully and answer the questions given below.

Number of students in seven institutes in various years

Institute/ A B C D E F G

Years/

2007 650 620 740 780 680 640 750

2008 720 580 720 800 720 600 700

2009 730 640 760 820 730 620 800

2010 750 560 750 760 670 660 820

2011 680 650 780 790 690 760 740

2012 690 630 730 810 700 740 720

2013 740 660 720 840 660 700 780

Q.1. If 60% of total students passed from institute B, what is the average number of passed students?

B 60%

(1) 325 (2) 372 (3) 395


Q.2. What is the difference between the total number of students in all the institutes in 2008 and the

total number of the students in all the institutes together in 2010?

2008 2010

(1) 135 (2) 138 (3) 132


Q.3. What is the respective ratio between the total number of students in institute A, B and C together

in 2009 and total number of students in institutes E, F and G together in 2011?

2009 A, B C 2011 E, F G

(1) 71:73 (2) 110:113 (3) 73:71

(4) 113:110 (5) None of these

Q.4. The number of students in institute D in 2012 is approximately what perentage of the total number

of students in the same institute in all the years together?

2012 D

(1) 18 (2) 22 (3) 25

(4) 10 (5) 14

Q.5. If 70% students passed from all institutes in 2008, how many students passed from all the

institutes in 2008?

2008 70% 2008

(1) 3080 (2) 3110 (3) 3388



BANK/MATHS/201707/DATA INTERPRETATION-I/E&H/25&26

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Q.6-10.Study the following graph carefully and answer accordingly?

The following pie-chart shows the distribution of workers of different religions in two factories Aand B.

A B

A B

Muslim

600

Christian

620Sikh

450

Hindu

1400

Other

530

Sikh

600

Muslim

500

Other

320

Christian

580

Hindu

1600

Q.6. Sikh workers in Factory A are - / A

(1) 16.5% (2) 12.5% (3) 20.5%

(4) 22.5% (5) None of these

Q.7. Christian workers in A are what percent of christian workers in B?

A B

(1) 110.5% (2) 90.7% (3) Can not be determined

(4) 92.5% (5) None of these

Q.8. If there are 180 others worker in A then total number of worker in B are?

A 180 B

(1) 1520 (2) 1440 (3) Can not be determined


Q.9. If there are 1800 workers in A and as many in B then how many Muslim workers are less in B than

those in A?

A B 1800 B A

(1) 75 (2) 55 (3) 40


Q.10. By what percent do Hindu workers from factory A exceed the sikh workers in factory B (as a

percent of the number of such workers) ?

A B

( )

(1) 176.66% (2) 166.66% (3) 156.66%

(4) 146.66% (5) Can not be determined

Q.11-15. Study the table carefully to answer the questions that follow:-

:-

Number of people visiting six different Super-markets and the percentage of Men, Women and

Children visiting those Super-markets


BANK/MATHS/201707/DATA INTERPRETATION-I/E&H/25&26L

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Names of the Total Number of Percentage of Percentage of Percentage of

Super -markets People Men Women Children

A 34560 35 55 10

B 65900 37 43 20

C 45640 35 45 20

D 55500 41 26 33

E 42350 06 70 24

F 59650 24 62 14

Q.11. What is the respective ratio of number of women visiting Super-markets A to those visiting Super-

market C ?

A C

?

(1) 35 : 37 (2) 245 : 316 (3) 352 : 377

(4) 1041 : 1156 (5) None of these

Q.12. Number of men visiting Super-market D forms approximately what percent of the total number

of people visiting all the Super-markets together ?

D

?

(1) 11 (2) 5.5 (3) 13

(4) 9 (5) 7.5

Q.13. Number of children visiting Super-market C forms what percent of number of children visiting

Super- market F ? (rounded off to two digits after decimal)

C F

? ( )

(1) 91.49 (2) 49.85 (3) 121.71

(4) 109.30 (5) None of these

Q.14. What is the total number of children visiting Super-markets B and D together ?

B D ?

(1) 18515 (2) 28479 (3) 31495


Q.15. What is the average number of women visiting all the Super-markets together ?

?

(1) 24823.5 (2) 22388.5 (3) 26432.5

(4) 20988.5 (5) None of these

Q.16-20.Study the following pie -chart and answer the questions given below :

:

Preferences of students among six beverages in terms of degree of angle in the pie-chart



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Total No. of students = 6800/ = 6800

Beverage F21.6o

Beverage E64.8o

Beverage D122.4o

Beverage C14.4o

Beverage B57.6o

Beverage A79.2o

Q.16. The number of students who prefer Beverage C are approximately what percent of the numberof students who prefer Beverage D ?

C D

(1) 7 (2) 12 (3) 18 (4) 22(5) 29

Q.17. How many students prefer Beverage B and Beverage E together ?

B E ?

(1) 2312 (2) 2313 (3) 2315(4) 2318 (5) None of these

Q.18. What is the difference between the total number of students who prefer Beverage A and C togetherand the total number of students who prefer Beverage D and F together ?

A C D F

?

(1) 959 (2) 955 (3) 952(4) 954 (5) None of these

Q.19. The number of students who prefer Beverage E and F together are what percent of the totalnumber of students ?

E F

?

(1) 18 (2) 14 (3) 26(4) 24 (5) None of these

Q.20. What is the respective ratio between the number of students who prefer Beverage F and thenumber of students who prefer Beverage A ?

F A

?

(1) 3 : 11 (2) 3 : 13 (3) 6 : 11(4) 5 : 11 (5) None of these



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Q.21-25. Study the table carefully to answer the questions that follow:

:

Percentage of Marks obtained by Different Students in Different Subjects of MBA

MBA

SUBJECTS (Maximum Marks)/ ( )

Students Strategic Brand Compensation Consumer Service Training &

Management Management Management Behavior Marketing Development

(150) (100) (150) (125) (75) (50)

Anushka 66 75 88 56 56 90

Archit 82 76 84 96 92 88

Arpan 90 88 96 76 84 86

Garvita 90 88 96 76 84 86

Gunit 64 70 68 72 68 74

Pranita 48 56 50 64 64 58

Q.21. How many marks did Anushka get in all the Subjects together ?

?

(1) 369 (2) 463 (3) 558


Q.22. Who has scored the highest total marks in all the subjects together ?

?

(1) Archit (2) Gunit (3) Pranita

(4) Garvita (5) Anushka

Q.23. Marks obtained by Garvita in Brand Management are what percent of marks obtained by Archit in

the same Subjects ? (rounded off to two digits after decimal)

? (

)

(1) 86.36 (2) 101.71 (3) 115.79

(4) 133.33 (5) None of these

Q.24. How many Students have scored the highest marks in more than one Subject ?

?

(1) Three (2) Two (3) One

(4) None (5) None of these

Q.25. What are the average marks obtained by all students together in Compensation Management ?

?

(1) 116 (2) 120.5 (3) 123


Q.26-30.Study the following pie-chart and table carefully and answer the question given below :

PERCENTAGEWISE DISTRIBUTION OF THE NUMBER OF MOBILE PHONES SOLD BY A

SHOPKEEPER DURING SIX MONTHS

Total number of mobile phones sold = 45,000

= 45,000



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November

12%October

8%

September

25% August

22%

July

17%

December

16%

The respective ratio between the number of mobile phones sold of company A and

company B during six months

A B

Months Ratio

July 8 : 7

August 4 : 5

September 3 : 2

October 7 : 5

November 7 : 8

December 7 : 9

Q.26. What is the respective ratio between the number of mobile phones sold of company B during July

and those sold during December of the same company ?

B

(1) 119 : 145 (2) 116 : 135 (3) 119 : 135

(4) 119 : 130 (5) None of these

Q.27. If 35% of the mobile phones sold by company A during November were sold at a discount, how

many mobile phones of company A during that month were sold without a discount ?

A 35% A

(1) 882 (2) 1635 (3) 1638


Q.28. If the shopkeeper earned a profit of ̀ 433/- on each mobile phones sold of company B during October, what

was his total profit earned on the mobile phones of that company during the same month ?

B ` 433/-

(1) ̀ 6,49,900/- (2) ̀ 6,45,900/- (3) ̀ 6,49,400/-

(4) ̀ 6,49,500/- (5) None of these

Q.29. The number of mobile phones sold of company A during July is approximately what percent of

the number of mobile phones sold of company A during December ?

A A

(1) 110 (2) 140 (3) 150

(4) 105 (5) 130stportal.mahendras.orgwww.mahendraguru.com

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Q.30. What is the total number of mobile phones sold of company B during August and Septembertogether ?

B

(1) 10,000 (2) 15,000 (3) 10,500

(4) 9,500 (5) None of these

Q.31-35. Study the following Pie-chart carefully to answer these questions.

Percentagewise Distribution of teachers who teach six different subjects

Total number of Teachers = 2400 / = 2400

Percentage of Teachers/

Biology

22%

Hindi

5%

English

15%

Maths

8%

Physics

20%

Chemistry

30%

Q.31. If five-sixth of the teachers who teach Physics are female, then number of male Physics teachersis approximately what percentage of the total number of teachers who teach Chemistry ?

(1) 24 (2) 8 (3) 21 (4) 16 (5) None of these

Q.32. What is the total number of teachers teaching Hindi, English and Biology ?

(1) 808 (2) 1008 (3)1028(4) 998 (5) None of these

Q.33. What is the difference between the total number of teachers who teach English and Physicstogether and the total number of teachers who teach Mathematics and Biology together ?

(1) 110 (2)140 (3)120(4) 130 (5) None of these

Q.34. If the percentage of Chemistry teachers is increased by 50 percent and percentage of Hinditeachers decreased by 25 percent then what will be the total number of Chemistry and Hinditeachers together ?

50% 25%

(1) 1200 (2) 1270 (3) 1400(4) 1170 (5) None of these

Q.35. What is the respective ratio of the number of teachers who teach Mathematics and the number ofteachers who teach Hindi ?



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(1) 13:8 (2) 4 : 13 (3) 4:11

(4) 8 : 15 (5) None of these

Q.36-40. Study the following table carefully to answer these questions.

Number of items produced (in lakhs) and percentage (%) of items rejected by six units of

a company over the years

%

Unit A B C D E F

Year No. % No. % No. % No. % No. % No. %

1997 131 1.5 85 1.1 39 1.3 169 1.8 156 1.4 92 0.8

1998 149 2.2 64 0.7 48 0.8 182 2.4 148 2.1 98 1.1

1999 107 1.2 76 0.9 56 1.1 175 2.2 184 1.7 88 0.9

2000 112 0.8 101 1.2 52 1.4 142 2.5 179 1.8 80 0.7

2001 142 1.8 92 0.85 63 0.9 190 1.9 160 2.2 76 1.0

2002 120 1.4 89 1.2 71 1.25 188 1.7 168 1.9 95 1.2

No. = Number of items produced (in lakhs) / =

% = Percentage of items rejected /% =

Q.36. What was the total number of items rejected by unit A for all the given years together ?

A

(1) 1169500 (2) 1165900 (3) 116950

(4) 116590 (5) None of these

Q.37. If during year 1998, all the items were sold except for rejected items, what was the number of

items sold by units B & D together ?

1998 B D

(1) 21418400 (2) 2141840 (3) 241184

(4) 24118400 (5) None of these

Q.38. During which year, the number of items rejected was highest for unit ‘C’ ?

‘C’ ?

(1) 2001 (2)1999 (3) 2002


Q.39. Number of items rejected by unit A in year 1997 is what percentage of the number of items

rejected by unit D in that year ? (rounded off to the nearest integer)

1997 A D

(1) 65 (2) 155 (3) 135

(4) 72 (5) None of those

Q.40. Approximately, what is the overall percentage of items rejected by all units together in the year

2000?

2000

(1) 1.2 (2) 2.4 (3) 1.8 (4) 0.8 (5) 1.5




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DATA INTERPRETATION-II (vkadM+s fo'ys"k.k-II)Q.1-5. Study the following graph carefully to answer the questions that follow:

Cost of three different fruits (in rupees per kg.) in five different cities

0

20

40

60

80

100

120

140

160

180

200

Jalandhar Delhi Chandigarh Hoshiarpur Ropar

Cities

CO

ST

OF

FR

UIT

S

(ru

pees p

er

kg

.)

Apple

Guava

Grapes

Q.1. Ravinder has to purchase 45 kgs. of grapes from Hoshiarpur. Shopkeeper gave him discount of

4% per kg. What amount did he pay to the shopkeeper after the discount ?

45 4%

(1) Rs. 8,208/- (2) Rs. 8,104/- (3) Rs. 8, 340/- (4) Rs.8,550/- (5) Rs. 8,410/-

Q.2. In which city is the difference between the cost of one kg. of apple and cost of one kg. of guava

second lowest ?

(1) Jalandhar (2) Delhi (3) Chandigarh (4) Hoshiarpur (5) Ropar

Q.3. Cost of one kg. of guava in Jalandhar is approximately what percent of the cost of two kgs. of

grapes in Chandigarh ?

(1) 66 (2) 34 (3) 28 (4) 54 (5) 58

Q.4. What is the respective ratio between the cost of one kg. of Guava from Jalandhar and the cost

of one kg. of grapes from Chandigarh ?

(1) 3:2 (2) 2:3 (3) 22:32 (4) 42: 92 (5) 92: 42

Q.5. What total amount will Ram pay to the shopkeeper for purchasing 3 kgs. of apples and 2 kgs.

of guava in Delhi ?

3 2

(1) Rs. 530/- (2) Rs. 450/- (3) Rs. 570/- (4) Rs. 620/- (5) Rs. 690/-

Q.6-10. Study the radar graph carefully and answer the questions that follow :

Number of students (in thousands) in two different universities in six different years


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Number of students/

05

1015202530352007

2008

2009

2010

2011

2012

University-1

University-2

Q.6. In which year was the difference between the number of students in university-1 and the numberof students in university-2 highest ?

1 -2

(1) 2008 (2) 2009 (3) 2010(4) 2011 (5) 2012

;

Q.7. If 25% of the students in university-2 in the year 2010 were females, what was the number ofmale students in the university-2 in the same year ?

2010 -2 25% -2

(1) 11250 (2) 12350 (3) 12500(4) 11500 (5) 11750

Q.8. What was the percent increase in the number of students in university-1 in the year 2011 ascompared to the previous year ?

-1 2011

(1) 135 (2) 15 (3) 115 (4) 25 (5) 35

Q.9. What was the difference between the number of students in university-1 in the year 2010 andthe number of students in university-2 in the year 2012 ?

2010 -1 2012 -2

(1) Zero (2) 5,000 (3) 15,000(4) 10,000 (5) 1,000

Q.10. What is the sum of the number of students in university-1 in the year 2007 and the number ofstudents in university-2 in the year 2011 together ?

2007 -1 2011 -2

(1) 50000 (2) 55000 (3) 45000 (4) 57000 (5) 40000

Q.11-15. Study the graph carefully to answer the questions that follow.

Number of players participating in three different games in five different schools


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10

20

30

40

50

60

70

80

90

School-1 School-2 School-3 School-4 School-5

Schools

Nu

mb

er

of

Pla

ye

rs

Hockey

Basketball

Kho-Kho

Q.11. 25% of the number of the players participating in hockey from School-5 are females. What isthe number of the hockey players who are males in school-5 ?

-5 25% -5

(1) 15 (2) 18 (3) 30(4) 21 (5) 27

Q.12. Number of players participating in Kho-Kho from school-4 is what percent of number of playersparticipating in hockey from school-2 ?

-4 -2

(1) 42 (2) 48 (3) 36(4) 40 (5) 60

Q.13. What is the total number of players participating in hockey from all the five schools together ?

(1) 286 (2) 288 (3) 256(4) 284 (5) 248

Q.14. What is the respective ratio between number of players participating in basketball from school-1 and the number of players participating in Kho-Kho from school-3 ?

-1 -3

(1) 5:7 (2) 7:9 (3) 7 : 8(4) 9 : 7 (5) 5 : 8

Q.15. In which school is the number of players participating in hockey and basketball together secondhighest?

(1) School-1 (2) School-2 (3) School-3(4) School-4 (5) School-5

Q.16-20. Study the following graph and table carefully and answer the questions given below :

TIME TAKEN TO TRAVEL (IN HOURS) BY SIX VEHICLES ON TWO DIFFERENT DAYS.



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0

5

10

15

20

A B C D E F

VEHICLES

TIM

E(I

N H

OU

RS

)

Day-1

Day-2

DISTANCE COVERED (IN KILOMETERS) BY SIX VEHICLES ON EACH DAY

VEHICLE DAY -1 DAY - 2 -1 - 2

A 832 864B 516 774C 693 810D 552 765E 935 546F 703 636

Q.16. Which of the following vehicles travelled at the same speed on both the days ?

(1) Vehicle A (2) Vehicle C (3) Vehicle F (4) Vehicle B (5) None of theseQ.17. What was the difference between the speed of vehicle A on day 1 and the speed of vehicle C on

the same day ?A C

(1) 7 km./hr. (2) 12 km./hr. (3) 11 km./hr. (4) 8 km./hr. (5) None of theseQ.18. What was the speed of vehicle C on day 2 in terms of meters per second ?

C

(1) 15.3 (2) 12.8 (3) 11.5 (4) 13.8 (5) None of theseQ.19. The distance travelled by vehicle F on day 2 was approximately what percent of the distance

travelled by it on day 1 ?F

(1) 80 (2) 65 (3) 85 (4) 95 (5) 90Q.20. What is the respective ratio between the speeds of vehilce D and vehicle E on day 2 ?

D E

(1) 15 : 13 (2) 17 : 13 (3) 13 : 11 (4) 17 : 14 (5) None of theseQ.21-25. Study the following information and answer the questions that follow :

THE GRAPH GIVEN BELOW REPRESENTS THE PRODUCTION (IN TONNES) AND SALES(IN TONNES) OF COMPANY A FROM 2006-2011.

A 2006 2011 stportal.mahendras.orgwww.mahendraguru.com

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200

300

400

500

600

700

800

900

2006 2007 2008 2009 2010 2011

-Years-

PR

OD

UC

TIO

NA

ND

SA

LE

S(I

nT

on

ne

s)

Production

Sales

The table given below represents the respective ratio of the production (In tonnes) of companyA to the production (In tonnes) of company B, and the respetive ratio of the sales (in tonnes) ofcompany A to the sales (In tonnes) of company B.

A B

A B

Year Production Sales

2006 5 : 4 2 : 32007 8 : 7 11 : 122008 3 : 4 9 : 142009 11 : 12 4 : 52010 14 : 13 10 : 92011 13 : 14 1 : 1

Q.21. What is the approximate percentage increase in the production of Company A (In tonnes)from the year 2009 to the production of Company A (in tonnes) in the year 2010 ?

2009 2010 A

(1) 25 (2) 38 (3) 23 (4) 27 (5) 32Q.22. The sales of Company A in the year 2009 was approximately what percent of the production

of Company A in the same year ?2009 A A

(1) 65 (2) 73 (3) 79 (4) 83 (5) 69Q.23. What is the average production of Company B (in tonnes) from the year 2006 to the

year 2011 ?2006 2011 B

(1) 574 (2) 649 (3) 675 (4) 593 (5) 618Q.24. What is the respective ratio of the total production (In tonnes) of Company A to the total sales

(In tonnes) of Company A ?A A

(1) 81 : 64 (2) 64 : 55 (3) 71 : 81 (4) 71 : 55 (5) 81 : 55Q.25. What is the respective ratio of the production of Company B (in tonnes) in the year 2006 to

production of Company B (in tonnes) in the year 2008 ?2006 B 2008 B

(1) 2 : 5 (2) 4 : 5 (3) 3 : 4 (4) 3 : 5 (5) None of these



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Q.26-30. Study the following graph carefully to answer the questions :

PERCENT PROFIT EARNED BY TWO COMPANIES OVER THE YEARS

Percent Profit = Income —Expenditure ×100 / vk; & O;;

O;;100

Expenditure

0

5

10

15

20

25

3035

40

45

50

55

60

65

2005 2006 2007 2008 2009 2010

YEAR

PE

RC

EN

T P

RO

FIT

Company A

Company B

Q.26. If the Income of Company A in the year 2006 was Rs. 6.425 lakhs, what was its Expenditure inthat year ?

2006 A 6,425

(1) Rs. 4.7 lakhs (2) Rs. 5.2 lakhs (3) Rs. 4.5 lakhs (4) Rs. 3.8 lakhs (5) None of these

Q.27. What is the approximate average percent profit earned by Company A over all the yearstogether ?

A

(1) 57 (2) 36 (3) 41 (4) 53 (5) 45

Q.28. What is the percentage increase in percent profit of Company B in the year 2008 from theprevious year ? (rounded off to two digits after decimal)

2008 B

(1) 17.65 (2) 19.25 (3) 16.55 (4) 15.75 (5) None of these

Q.29. If the Expenditure of Company A in the year 2005 was Rs. 3.6 lakhs, what was the amount ofProfit earned by it in that year ?

2005 A 3.6

(1) Rs. 2.52 lakhs (2) Rs. 2.46 lakhs (3) Rs. 1.44 lakhs(4) Rs.1.31 lakhs (5) None of these

Q.30. If in the year 2009 incomes of both the Companies A and B were the same, what was therespective ratio of their expenditures in that year ?

2009 A B

(1) 7:5 (2) 16:15 (3) 23:21(4) Cannot be determined (5) None of these



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Q.31-35.Study the following graph carefully and answer the questions that follow :

Water level of four major Rivers (in metres) in four different Months

Water level of four Rivers /

19

6

20

5 23

0

21

2

20

2 22

4

21

1

20

7

19

6 21

0 23

0

18

4

14

6

20

0

23

4

21

9

1 2 3 4

Wa

ter

lev

el

(In

me

tre

)

River-A River-B River-C River-D

June July August September

Months

A A A AB B B BC C C CD D D D

Q.31. What was the respective ratio between the level of River - C in September and the water level of

River - B in June ?

- C - B

(1) 91 : 101 (2) 94: 101 (3) 51 :103

(4) 31 : 101 (5) None of these

Q.32. If the danger level of all the four rivers is above 215 m., which river has not crossed the danger

level in August but has crossed the danger level in July ?

215

(1) River-A (2) River-B (3) River-C

(4) River-D (5) None of these

Q.33. What is the average water level of River - A in all the four months together ?

- A

(1) 224.50m (2) 212.25 m (3) 210.75m

(4) 222.25m (5) None of these

Q.34. In which river and in which month respectively the water level is highest ?

(1) River - C in August (2) River - D in September

(3) River - B in July (4) River - D in August

(5) None of these

Q.35. If the water level of River -A in July is decreased by 20 percent, then what will be the water level

of River-A in July ?

-A 20 -A

(1) 156m (2) 162m (3) 164m

(4) 152m (5) None of thesestportal.mahendras.orgwww.mahendraguru.com

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Q.36-40. Study the following graph carefully and answer the questions given below :

Profit earned by three companies over the years (Rs. in crores)

1 5 0

2 0 0

2 5 0

3 0 0

3 5 0

4 0 0

4 5 0

5 0 0

5 5 0

6 0 0

2 0 0 3 2 0 0 4 2 0 0 5 2 0 0 6 2 0 0 7 2 0 0 8 2 0 0 9

Y e a r s

Pro

fit

Earn

ed

(R

s. in

cro

res)

C o m p a n y A

C o m p a n y B

C o m p a n y C

Q.36. What was the average profit earned by all the three companies in the year 2008 ?

2008

(1) Rs.300 crores (2) Rs.400 crores (3) Rs.350 crore(4) Rs.520 crores (5) None of these

Q.37. In which of the following years was the difference between the profits earned by company B andcompany A the minimum ?

B A

(1) 2003 (2) 2004 (3) 2005(4) 2008 (5) None of these

Q.38. In which of the following years was the total profit earned by all three companies together thehighest ?

(1) 2004 (2) 2007 (3) 2008(4) 2009 (5) None of these

Q.39. What was the approximate percentage increase in the profit earned by Company A from 2006to 2007 ?

2006 2007 A

(1) 36 (2) 24 (3) 40(4) 20 (5) None of these

Q.40. What was the difference between the profit earned by company A in 2004 and the profit earnedby company C in 2009 ?

2004 A 2009 C

(1) Rs.50 crores (2) Rs.1 crore (3) Rs.100 crores(4) Rs.200 crores (5) None of these




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DATA INTERPRETATION-III (vkadM+s fo'ys"k.k-III)Q.1-5.Read the following pie-chart and table carefully and answer the questions given below-

Percentage of listeners in different cities/

Total number of listeners = 140000/ = 140000

Jaipur, 20%

Meerut, 18%

Agra, 35%

Bhopal, 13%Chandigarh,

14%

Percentage of listeners of different FM channels in different cities.

City Radio Mirchi Radio City Red FM FM Gold Rainbow

Agra 76% 72% 46% 54% 48%Meerut 63% 64% 59% 47% 53%Jaipur 52% 65% 64% 51% 54%Chandigarh 82% 44% 32% 35% 45%Bhopal 75% 32% 36% 52% 64%

Q.1. What is the number of listeners of Radio city in Meerut?

(1) 15620 (2) 17525 (3) 18528(4) 16128 (5) None of these

Q.2. The number of listeners of FM Gold in Bhopal is approximately what percent of the number oflisteners of Radio Mirchi in Meerut?

(1) 60 (2) 64 (3) 57(4) 67 (5) 52

Q.3. What is the average number listeners of Radio city and Red FM in Chandigarh?

(1) 7412 (2) 7486 (3) 7448(4) 7428 (5) None of these

Q.4. In which city is the number of listeners of FM Gold the minimum?

(1) Meerut (2) Chandigarh (3) Jaipur(4) Agra (5) Bhopal

Q.5. The number of listeners of Radio Mirchi in Jaipur is approximately what percent more than thenumber of listeners of Radio Mirchi in Bhopal?


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(1) 11 (2) 15 (3) 19(4) 22 (5) 7

Q.6-10. Read the following graph and table carefully and answer the questions given below.

Number of candidates (in thousands) taking admission in two different institutes

2

3 .5

5

6

4

6 .5

3 .54 4

5 .55

6

0

1

2

3

4

5

6

7

20 03 200 4 2 005 200 6 2007 2008

In sti tu te A In sti tu te B

Ratio of females and males in institutes/

Institute A B

Year Female : Male Female : Male

2003 9 : 7 2 : 3

2004 4 : 3 9 : 7

2005 7 : 13 13 : 7

2006 17 : 8 7 : 4

2007 9 : 16 11 : 9

2008 6 : 7 7 : 5

Q.6. What is the respective ratio of number of males in institute A in 2003 and that of males in

institute B in 2007?

2003 A 2007 B

(1) 6 : 11 (2) 7 : 18 (3) 3 : 2 (4) 6 : 1 (5) None of these

Q.7. What is the total number of males in both institutes in 2006?

2006

(1) 3940 (2) 3920 (3) 3985 (4) 3950 (5) None of these

Q.8. The number of females in institute A in 2006 is what percent more than that of females in the

same institute in 2008?

2006 A 2008

(1) 36 (2) 32 (3) 38 (4) 41 (5) None of these

Q.9. What is the average number of males in institute B in all the years?

B

(1) 1100 (2) 1700 (3) 2000



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Q.10. The number of females in institute B in 2005 is what percent of the number of males in institute

A in the same year?

2005 B A

(1) 84 (2) 86 (3) 82 (4) 80 (5) None of these

Q.11-15. Read the following graph carefully and answer the questions given below.

Production (in thousands) and percentage of export of scooters, motorbike and cars respec-

tively over the years

48

40

7 5

48

86

6060

44

60 6 0

34 343 8

56

84

40 42

26

0

20

40

60

80

100

120

2002 2003 2 004 20 05 2006 200 7

C a r S co o te r M o to rb ike

% Export/

40

10

32

20

12

30

2528

10

15

20

25

35

30

2025

35

42

0

5

10

15

20

25

30

35

40

45

2002 2003 2004 2005 2006 2007

Car Scooter Motorbike

Q.11. What is the total number of automobiles exported in 2006?

2006

(1) 30700 (2) 31760 (3) 29840 (4) 32620 (5) None of thesestportal.mahendras.orgwww.mahendraguru.com

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Q.12. The number of motorbike exported in 2004 is what percent more than that in previous year?

2004

(1) 16 (2) 18 (3) 12 (4) 7 (5) 21

Q.13. What is the average number of automobiles exported in 2002?

2002

(1) 16250 (2) 16800 (3) 16580 (4) 16420 (5) None of these

Q.14. What is the respective ratio between the number of scooters exported in 2004 and that in 2005?

2004 2005

(1) 4:1 (2) 3:1 (3) 2:1 (4) 3:2 (5) None of these

Q.15. The number of cars exported in 2005 is approximately what percent that of exported in 2006?

2005 2006

(1) 38 (2) 28 (3) 23 (4) 42 (5) 33

Q.16-20.Read the following information carefully and answer the questions given below:-

There are 3600 students in an institute.Out of these, 40% study in MCA,20% in B.Tech,10%

in MBA,20% in B.Pharma and remaining 10% in B.Ed.In institute,the ratio of boys and girls is

5:3.In MCA this ratio is 3:5 and in B.Pharma this ratio is 3:5.Only boys study in MBA,B.Ed and

B.Tech.

3600 40% MCA ,20% B.Tech ,10% MBA ,20%

B.Pharma 10% ,B.Ed 5:3 MCA

3:5 B.Pharma 3:5 MBA, B.Ed B.Tech

Q.16. In institute,the number of boys is how much less than the total number of students?

(1) 1600 (2) 2250 (3) 1200


Q.17. The number of boys in B.Tech is what percent of the total number of students?

B.Tech

(1) 20 (2) 12 (3) 11


Q.18. The number of boys in MBA is what percent less than the number of girls in B.Pharma?

MBA B.Pharma

(1) 20 (2) 18 (3) 26


Q.19. What is the total number of boys in MCA and B.Pharma?

MCA B.Pharma

(1) 800 (2) 810 (3) 812


Q.20. What is the respective ratio between the total number of students in B.Ed and B.Tech ?

B.Ed B.Tech

(1) 1:3 (2) 2:3 (3) 2:1

(4) 1:4 (5) None of these



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Q.21-25. Following questions are based on the diagram given below. /

This Venn diagram shows the number of students passed in different subject.

P = Physics C = Chemistry M = Maths Total number of students = 260

P = C = M = = 260

M

CP28

9

15

6385

97

42

Q.21. Taking any two subjects, which pair of subject has the maximum number of students passed in

at least one of them ?

(1) Maths, Physics (2) Chemistry, Maths (3) Physics, Chemistry

(4) Can't be determined (5) None of these

Q.22. What is the percentage of the students who have failed in all the three subjects ? (approx)

(1) 5.8 (2) 17.5 (3) 35

(4) 22.5 (5) None of these

Q.23. What is the percentage of students who have failed in at least one subject ? (approx)

(1) 96.5 (2) 96.8 (3) 65

(4) 75.5 (5) 66

Q.24. What is the approximate percentage of students who have passed in two or more

subjects?(approx)

(1) 25 (2) 39 (3) 33

(4) 40 (5) 50

Q.25. To be promoted to the next class it is essential to pass in Mathematics and at least in one of

Physics or Chemistry. How many students are likely to be promoted to the next class ?

(1) 68 (2) 58 (3) 78


Q.26-32. Read the following information carefully and answer the question below it.

In an examination there are three subjects. 40 students failed in only Mathematics, 50 stu-

dents failed in only English and 60 students failed in only Reasoning. 200 students passed in

all the subjects. 400 students passed in Mathematics, 550 students passed in Reasoning, 500

students passed in English. The number of students who failed in all the subjects is 25% of the

students who passed in mathematics.



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3 40 50

60 200 400

550 500

25 %

Q.26. Number of students passed in only reasoning is what % of number of students passed in onlyEnglish?

(1) 130% (2) 90% (3) 60%

(4) 30% (5) 20%

Q.27. How many students passed in Reasoning and any one subject?

(1) 40 (2) 50 (3) 80

(4) 90 (5) 120

Q.28. How many students appear in that examination?

(1) 900 (2) 800 (3) 1000

(4) 1200 (5) 1350

Q.29. How many students passed in only one subjects?

(1) 460 (2) 290 (3) 350

(4) 450 (5) 550

Q.30. What is the ratio between the number of students failed in reasoning and number of studentsfailed in English?

(1) 1 : 2 (2) 2 : 1 (3) 1 : 1

(4) 2 : 3 (5) 9 : 10

Q.31. The number of students failed in all subjects is what % of students passed in all subjects?

(1) 40% (2) 50% (3) 30%

(4) 20% (5) 25%

Q.32. How many students failed in one or more than one subjects?

(1) 800 (2) 700 (3) 600

(4) 550 (5) 450

Q.33-37. Study the following graph and answer the question based on it-

No. of Boys and Girls appear in an examination over the years, and their passingpercentage-



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Years Boys Pass % Boys Girls Pass % of Girls

2009 250 300 70%

2010 60% 500

2011 400 55%

2012 80% 85%

2013 600 75% 450

Q.33. What is the ratio between no. of Boys students who failed in 2013 and Girls students who

passed in 2009?

2013 2009

(1) 3 : 4 (2) 5 : 7 (3) 5 : 6

(4) 4 : 9 (5) 4 : 7

Q.34. Total number of students passed in 2011 is

2011

(1) 360 (2) 410 (3) 385

(4) 320 (5) Cannot be determined

Q.35. If in the year 2009 number of pass Boys students is half of Boys students who passed in 2013,

then what is % of Boys students passed in 2009?

2009 2013

2009 %

(1) 37% (2) 69% (3) 80%

(4) 90% (5) 98%

Q.36. The number of Boys students appear in 2012 is double of number of Girls appear in 2012.find

the ratio between number of Boys and Girls passed students in same year?

2012 2012

(1) 16 : 17 (2) 8 : 17 (3) 32 : 17

(4) 17 : 8 (5) 17 : 16

Q.37. What is the ratio between no. of students passed in 2009 and 2013?

2009 2013

(1) 12 : 13 (2) 11 : 21 (3) 11 : 8

(4) Cannot be determined (5) 8 : 9

Q.38-42. Some data is missing in the table given. Calculate the missing data and solve the questions

based on the table.

The table given below shows the total revenue (in Rs. Millions) generated by six different movies

and the percentage contribution of different country – in the respective total revenue generated

by the six movies.Total Revenue generated by all the six movies = $ 500 BillionsKick get 11.6%

of total revenue. The ratio between the percentage revenue from India of Bajrangi Bhaijaan and

PK is 4 : 5 and the revenue ratio of PK from U.S.A and Russia is 3 : 2.



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$ 500

11.6%

4 : 5 3 : 2

Movies Total Revenue Generated

Percentage contribution from different countries

India USA UK Canada Russia Others

PK 120 55 — 7 15 – 3

Bhajrangi Bahiisan.

93 – 14 9 – 5 16

Bahubali – 63 15 – 6 5 7

Dhoom 3 81 60 -- 7 4 1 10

3 Idiots 59 — 22 13 14 3 6

Kick — 38 18 12 10 7 —

Q.38. What is the sum of the total revenue earned by the top 3 revenue earning movies in India?

3

(1) 240 (2) 260 (3) 250(4) 290 (5) 300

Q.39. What is the ratio of between the revenue earned by Dhoom 3 in U.S.A and Kick in U.K?

3

(1) 123:145 (2) 116:243 (3) 145:157(4) 243:116 (5) 221:143

Q.40. The total revenue earned by 3 Idiots in U.S.A ,U.K is what % of total revenue earned?

3 %

(1) 5.14% (2) 5.90% (3) 6.67%(4) 4.13% (5) 1.56%

Q.41. Which country produce third lowest revenue for all the movies?

(1) U.S.A (2) U.K. (3) Others(4) India (5) Canada

Q.42. Revenue of Bahubali from foreign country?(in billian$)

$

(1) 32.93 (2) 45.65 (3) 34.67(4) 56.78 (5) 35.89




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LECTURE-31&32

PERMUTATION AND COMBINATION (Øep; ,oa lap;)Q.1. Find the number of words formed by permuting all the letters of the word RUSSIA ?

"RUSSIA"

(1) 360 (2) 60 (3) 180 (4) 64 (5) None of theseQ.2. In how many different ways can the letters of the word ‘PRAISE’ be arranged ?

‘PRAISE’

(1) 720 (2) 610 (3) 360 (4) 210 (5) None of theseQ.3. In how many different ways can the letters of the word ‘SEQUENCE’ be arranged ?

‘SEQUENCE’

(1) 64 (2) 13440 (3) 6720 (4) 20160 (5) None of theseQ.4. In how many different ways can the letters of the word ‘BELIEVE’ be arranged ?

‘BELIEVE’

(1) 840 (2) 1680 (3) 2520 (4) 5040 (5) Noneof theseQ.5. In how many different ways can the letters of the word "DIVIDENT" be arranged?

"DIVIDENT"

(1) 5040 (2) 40320 (3) 6720 (4) 720 (5) None of theseQ.6. How many different words can be formed fromthe letters of the word 'TAUQEER' so that both E

never comes together?

'TAUQEER' E

(1) 2520 (2) 720 (3) 1800 (4) 5040 (5) 360Q.7. How many words can be formed with the letters of the word 'PARALLEL' so that all L's do not

come together ?

'PARALLEL' L

(1) 30000 (2) 3000 (3) 1500 (4) 2000 (5) None of theseQ.8. How many words can be formed with the letters of the word PRACTICE so that all vowels always

accupy the even places?

PRACTICE

(1) 2000 (2) 3000 (3) 1500 (4) 2880 (5) None of theseQ.9. How many words can be formed from all the letters of the word INITIAL such that all words

must have started and ended with letter 'I' ?

"INITIAL"

"I"

(1) 120 (2) 20 (3) 5040(4) 240 (5) None of these

Q.10. In how many ways can all the letters of the word 'DELHI' be arranged so that all the vowelsalways occupy even places?

DELHI

(1) 12 (2) 60 (3) 120(4) 30 (5) None of these

Q.11. How many more words can be made from the all letters of word PARALLEL in which all vowelsbeing together ?

'PARALLEL'

(1) 180 (2) 360 (3) 36(4) 144 (5) None of these


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Q.12. In how many different ways can the letters of the word THERAPY be arranged so that the

vowels never come together ?

THERAPY

(1) 720 (2) 1440 (3) 5040 (4) 3600 (5) 4800

Q.13. In how many different ways can the letters of the word 'ABUNDANCE' be arranged so that all

the vowels always come together?

'ABUNDANCE'

(1) 8640 (2) 4320 (3) 2160 (4) 17280 (5) None of these

Q.14. In how many different ways can the letters of the word " SOFTWARE" be arranged so that all

the vowels always come in odd places?

"SOFTWARE"

(1) 2880 (2) 1440 (3) 480 (4) 720 (5) None of these

Q.15. In how many different ways can the letters of the word 'DIRECTOR' be arranged so that all the

vowels comes together and all consonant comes together?

'DIRECTOR'

(1) 4320 (2) 720 (3) 2160 (4) 120 (5) 360

Q.16. In how many different ways the letters of the word "APTITUTE" can be arranged so that all the

vowels always in the biginning?

"APTITUTE"

(1) 48 (2) 72 (3) 576 (4) 2880 (5) 960

Q.17. In how many different ways can the letters of the word ‘LEASE’ be arranged so that letter 'S'

and 'L' always comes together?

‘LEASE’ 'S' 'L'

(1) 240 (2) 120 (3) 48 (4) 24 (5) 720

Q.18. In how many ways can the letters of the word "ROUTE" be arranged so that letter 'R' and 'T'

never comes together.

"ROUTE" 'R'

'T'

(1) 48 (2) 120 (3) 48 (4) 24 (5) 72

Q.19. In how many different ways can the letters of the word ‘PEANUT be arranged so that N always

come before P.

‘PEANUT’ 'P'

'N'

(1) 720 (2) 360 (3) 180 (4) 120 (5) None of these

Q.20. In how many different ways can the letters of the word 'COCONUT' be arranged so that all the

words start end with vowel.

'COCONUT'

(1) 180 (2) 720 (3) 360


Q.21. How many different words can be arranged from the letters of the word APPLE so that all the

vowels come in the order given in the dictionary.

APPLE

(1) 60 (2) 30 (3) 24 (4) 10 (5) None of these


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Q.22. In how many ways we can select a 6 members team from 8 men and 5 women, in which

women are dominating ?

8 5

(1) 148 (2) 48 (3) 60

(4) can't determined (5) None of these

Q.23. How many flags can be made using the ribbons of all colours red, blue, green, black and yellow

? (one ribbon can be used only once.)

(1) 110 (2) 100 (3) 60 (4) 120 (5) 240

Q.24. How many numbers below 1000 can be formed from the digit 2,5,8, 0 and 9 if repetition of digits

is allowed?

2,5,8,0 9 1000

(1)155 (2)124 (3) 68 (4) 125 (5)None of these

Q.25. There are 5 boys & 5 girls in a group. In how many ways 6 of them to dine at a round table

including 2 girls exactly ?

5 5 6

2

(1) 2400 (2) 6000 (3) 151200


Q.26. In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8

women?

7 8 4 4

(1) 2450 (2) 105 (3) 1170


Q.27. 2 girls & 4 boys have to sit in a queue in such a way that no girls sit together. In how many

different ways can they sit ?

(1) 720 (2) 480 (3) 360


Q.28. In how many ways 5 boys and 4 girls can be seated in a row so that no 2 girls sit together?

5 4 2

(1) 14400 (2) 43200 (3) 5040


Q.29. There are 6 parallel lines which intersected by other 5 parallel lines. Howmany parallelogram may

be formed?

6 5

(1) 75 (2) 150 (3) 205

(4) Can't be determined (5) None of these

Q.30. In a function there are 12 men and 6 women. Each man shakes his hand with all the men and

each women shakes her hand with all the women. Find the total number of hand shakes.

12 6

(1) 91 (2) 93 (3) 81 (4) 71 (5) None of these


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Q.31. How many seven digit number can be formed by using 2 and 3, which at divisible by 12?

2 3 7 12

(1) 1 (2) 21 (3) 11 (4) 47 (5) None of these

Q.32. How many numbers greater than 999 and less than four thousand can be formed using 0,1,2,3

and 4 when repetition of digit is allowed.

0, 1, 2, 3 4 999

4000

(1) 499 (2) 375 (3) 501 (4) 500 (5) 376

Q.33. From 8 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this

be done so as to include at least one lady?

5 8 4

(1) 736 (2) 728 (3) 280 (4) 792 (5) None of these

Q.34. In how many ways five different toys can be packed in three identical boxes in such a way that

no box is empty and any box can contain all of the toys.

5 3

(1) 20 (2) 30 (3) 25 (4) 600 (5) 480

Q.35. If 6 coins are tossed simultaneously then in how many ways at most three heads can be

obtained.

6

(1) 25 (2) 41 (3) 22 (4) 42 (5) 31

Q.36. How many ways a cricket team of 11 players formed by 17 players in which 12 batsmen and 5

bowller so that exactly 7 batsmen in a team.

17 (12 5 ) 11

7

(1) 2640 (2) 11 (3) 1370 (4) 13200 (5) None of these

Q.37. 5 Indian and 5 European couples meet in a party. If no wife shakes hand with her own husband

and no Indian wife shakes hand with a male. Find the number of handshakes.

5 5

(1) 190 (2) 135 (3) 145 (4) 155 (5) None of these

Q.38. In how many different ways Sohan can invite all his 6 friends for dinner.

6

(1) 64 (2) 63 (3) 6 (4) 21 (5) None of these

Q.39. How many 3 digit numbers can be formed using 2, 3, 5, 6, 7 and 9 so that the numbers are

divisible by 5, when repetition of numbers are not allowed.

2, 3, 5, 6, 7 9 3 5

(1) 19 (2) 24 (3) 20 (4) 34 (5) None of these

Q.40. At a place there are 9 men and 6 women in how many ways 7 people can be selected such that

the number of the men is always greater than the number of women and there are atleast one

women?

9 6 7

(1) 3,724 (2) 3,630 (3) 4,914 (4) 3,824 (5) 4,209


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CLASS WORK SHEET

LECTURE-33&34

PROBABILITY AND DS (izkf;drk ,oa vkadM+s i;kZIrrk)Q.1. Find the probability of getting an odd number in a throw of a single dice?

?

(1) 3

5(2)

3

4(3)

1

2(4)

12

2(5) None of these

Q.2-3. Study the given information carefully to answer the questions that follow.

Two coins are tossed simultaneously find the probability of -

Q.2. Getting atleast one head-/

(1) 1

4(2)

3

4(3)

1

2(4)

3

8(5) None of these

Q.3. Getting atleast two head-/

(1) 1

4(2)

3

4(3)

1

2(4)

3

8(5) 1


Three coins are tossed simultaneously find the probability of -

Q.4. Getting two tails -/

(1) 3

5(2)

5

8(3)

2

5(4)

3

8(5) 1

Q.5. Getting more heads than the number of tails -/

(1) 2

5(2)

5

8(3)

7

8(4)

1

2(5)

3

8

Q.6. Getting atleast one head and one tail -/

(1) 2

8(2)

3

10(3)

3

4(4)

1

2(5)

3

5


Two dices are rolled simulataneously find the probability of

Q.7. Getting a sum greater than nine /

(1) 10

11(2)

1

11(3)

5

6(4)

1

6(5)

8

9

Q.8. Getting a multiple of two on first dice and a multiple of three on the second dice

(1) 5

12(2)

25

36(3)

11

36(4)

5

6(5)

7

12


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Q.9. Getting the sum of the numbers on two faces divisible by three or four

(1) 4

9(2)

5

9(3)

5

12(4)

1

7(5)

7

12

Q.10. A die is thrown twice. What is the probability of getting a sum 7 from both the throws ?

7

(1) 5

18(2)

1

18(3)

1

9(4)

1

6(5)

5

36

Q.11. Two dice are thrown simultaneously. What is the probability of obtaining a total score of six.

(1) 1

6(2)

1

12(3)

5

36(4)

1

9(5) None of these

Q.12. If from a pack of 52 playing cards, one card is drawn at random. What is the probability that itis either a king or a queen ?

52

(1) 2

13(2)

1

13(3)

3

26(4)

1

52(5) None of these

Q.13. A bag contains seven white and three black balls. Two balls are drawn at random one afteranother without replacement. Find the probability that balls drawn are black ?

(1) 1

30(2)

3

40(3)

1

15(4)

2

27(5) None of these

Q.14. A bag contains 4 red and 6 white balls. A ball is taken out and not retained to it. Then find out theprobability that in the second draw the ball is while if the ball in the first draw is red.

4 6

(1) 2

5(2)

1

5 (3)

2

3(4)

1

3(5) None of these

Q.15. A bag contains four black and five red balls. If three balls are chosen at random from the bag.What is the probability that they are all black ?

(1) 1

7(2)

1

21(3)

3

7(4)

2

7(5) None of these

Q.16-19. A bag contains 7 blue balls and 5 yellow balls.

7 5

Q.16. If two balls are selected at random, what is the probability that none is yellow ?

(1) 5

33(2)

5

22(3)

7

22(4)

7

33(5)

7

66


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Q.17. If three balls are picked at random, what is the probability that two are blue and one is yellow ?

(1) 2

15(2)

6

91(3)

12

91(4)

3

15(5) None of these

Q.18. If two balls are picked at random, what is the probability that either both are blue or both areyellow ?

(1) 3

5(2)

4

105(3)

2

7(4)

31

66(5) None of these

Q.19. If four balls are picked at random, what is the probability that one is blue and three are yellow ?

(1) 4

15(2)

17

280(3)

14

99(4)

11

15(5) None of these

Q.20. In a class there are 15 boys and 10 girls. Three student are selected at random in which whatis the probability that one girl and two boys are selected ?

15 10

(1) 21

46(2)

25

46(3)

27

46(4)

27

94(5) None of these

Q.21. In a class there are 8 boys and 5 girls. In how many ways they can sit in a row so that no twogirls sit together?

8 5

(1) 9!

4!(2)

8!

4!(3)

8!

5!(4)

9!8!

4!(5) None of these

Q.22. A committee of 5 students is to be chosen from 6 boys and 4 girls. What is the probility that thecommittee has exactly 2 girls?

6 4 5 2

(1) 10

21(2)

5

24(3)

12

21(4)

16

25(5) None of these

Q.23. The letters of word SOCIETY are placed at random in a row. What is the probability that threevowels come togethger ?

SOCIETY

(1) 2

7(2)

3

7(3)

4

7(4)

1

7(5) None of these



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Q.24. If the letters of the word "NOKIA" be arranged randomly. What is the probability that all vowelsare not together?

"NOKIA"

(1) 7

10(2)

9

10(3)

19

20(4)

3

10(5) None of these

Q.25. If the letters of the word 'DISCUSSION' be arranged randomly, what is the probability that allvowels are not together?

'DISCUSSION'

(1) 161

180(2)

331

360(3)

346

360(4)

359

360(5) None of these

Q.26. What is the probability to select a three digit number divisible by 2, which is constructed fromthe digit 0, 1, 2, 3, 4, the repetition is not allowed.

0, 1, 2, 3, 4 2

(1) 5

8(2)

9

20(3)

3

8(4)

11

20(5) None of these

Q.27. The probability to solve a probability problem by Asfaq and Pankaj is 1/3 and 2/5 respectively.What is the probability that the problem is solved by them?

1/3 2/5

(1) 11

15(2)

2

15(3)

13

15(4)

3

5(5) None of these

Q.28. A table has two drawer. First drawer has 3 gold coins and second has 4 silver coins. Open adrawer randomly & take a coin. What is the probability that it is a gold coin ?

(1) 3

7(2) 30% (3)

3

4 (4) CND (5) None of these

Q.29. A box carrying one dozen of oranges. One third have gone bad. If three oranges are taken outfrom the box at random. Find the probability that at least one is good ?

(1) 1

50(2)

54

56(3)

45

56(4)

3

56(5) None of these

Q.30. There are a matching -type question having 2 columns 'A' and 'B' column 'A' has 3 items whichcan be matched with 4 items in column 'B'. Find the probability to solved correctly?

'A' "B' 'A' 'B' 4

(1) 1

9 (2)

1

10 (3)

1

12 (4)

1

24(5) None of these



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Q.31-35. The questions given below contain two statements giving certain data. You have to decide

whether the data given in the statements are sufficient for answering the question?

Mark answer-

(1) If statement I alone is sufficient but statement II alone is not sufficient.

I II

(2) If statement II alone is sufficient but statement I alone is not sufficient.

II I

(3) If each statement alone (either I or II) is sufficient.

I II

(4) If statement I and II together are not sufficient./ I II

(5) If both statements I and II together are sufficient, but neither statement a lone is sufficient.

I II

Q.31. What is two digit number?/

(I) The sum of the digits is 6./ 6

(II) The ten's digit is twice the unit digit.

Q.32. What is mother's present age? /

(I) The ratio between the ages of mother and daughter is 5 : 1.

5 : 1

(II) After 4 years, the ratio between the ages of mother and daughter is 17 : 5 respectively.

4 17 : 5

Q.33. What is rate of interest p.c.p.a.?/

(I) The amount becomes double in 10 years./ 10

(II) The simple interest after 5 years is Rs. 5000./5 5000

Q.34. What is the respective ratio between the number of boys and girls in a school?

(I) The number of girls is 3 less than half the number of boys.

3

(II) The number of girls is 2

5 of the number of boys.

2

5

Q.35. Two trains are moving in opposite direction. What is their relative speed?

(I) Trains are of equal length./

(II) They cross each other in 12 seconds. / 12

Q.36-40. The questions given below contain three statements giving certain data. You have to decidewhether the data given in the statements are sufficient for answering the question ?

Q.36. What is Pramod's monthly income?/

(I) Pramod's monthly income is Rs. 1200 more than the Subodh's monthly income.

1200 stportal.mahendras.orgwww.mahendraguru.com

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(II) The ratio between monthly income of Subodh and Aryan is 2:5.

2:5

(III) The annual income of Aryan is Rs. 216000 / 216000

(1) Only I (2) Only II (3) Only II and III(4) All (5) None of these

Q.37. What is the ratio between the marks obtained by Rajeev in Hindi and Sociology?

(I) The total marks obtained by Rajeev in Hindi, Sociology and General Studies is 230.

230

(II) The ratio between the marks obtained by Rajeev in Sociology and General Studies is 2:3.

2:3

(III) The difference between the marks obtained by Rajeev in Hindi and General Studies is 10.

10

(1) II and III (2) I and II (3) All(4) I and III (5) None of these

Q.38. What is the ratio between the present ages of Gautam and his father?

(I) 5 years ago, Gautam's age was 1

5 of his father's age.

5 1

5

(II) 2 years ago, the sum of ages of Gautam and his father was 36 years.

2 36

(III) The sum of ages of Gautam's sister, his mother and his father is 62 years.

62

(1) I and II (2) II and III (3) I and III(4) All (5) None of these

Q.39. What is the speed of train?/

(I) The train crosses a pole in 15 seconds./ 15

(II) The length of the train is 360 m./ 360

(III) The train crosses a platform of equal length in 30 seconds.

30

(1) I and II (2) II and III (3) All

(4) Any two (5) II and either I or III

Q.40. In how many days will 8 men and 4 women complete a work?

8 4

(I) 10 men complete the same work in 8 days.

10 8

(II) 8 women complete the same work in 20 days.

8 20

(III) 5 women complete the same work in 32 days.

5 32

(1) I and II (2) I and III (3) II and III

(4) I and II or III (5) Any two

Q.41-55. The questions given below contain two statements giving certain data. You have to decide

whether the data given in the statements are sufficient for answering the question? Mark answer-



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(1) If statement I alone is sufficient but statement II alone is not sufficient.

I II

(2) If statement II alone is sufficient but statement I alone is not sufficient.

II I

(3) If each statement alone (either I or II) is sufficient.

I II

(4) If statement I and II together are not sufficient./ I II

(5) If both statements I and II together are sufficient, but neither statement a lone is sufficient.

I II

Q.41. A two-digit number is divisible by 8. What is the number?

8

I. Sum of the digits is 10. / 10

II. Digit which is at unit's place is 2

3rd of the digit which is at ten's place.

2

3

Q.42. What is the average age of x, y and z?/ x, y z

I. Ratio of the age of x and y is 4:3 and age of x is double the age of z.

x y 4:3 x z

II. Age of z is 5 years less than the age of y./z y 5

Q.43. What is the time taken by Raj from point A to other point B?

A B

I. If he walks 25% faster than his usual speed then he reches 20 seconds earlier.

25% 20

II. If he walks half of his usual speed he takes 100 seconds more to reach the finishing point B

B 100

Q.44. What is the length of the train?/

I. If crosses a pole in 10 seconds./ 10

II. Speed of the train is 10 m./sec./ 10

Q.45. If A and B work for a day alternately, in how many days will the work be completed?

A B

I. A can do that piece of work in 6 days./ A 6

II. B can do that piece of work in 8 days./ B 8

Q.46. If a person saves Rs. 85000 in a year what is the average monthly income?

85000

I. The average monthly income for the first 4 months is Rs. 18000.

4 18000

II. The average monthly income for the last 8 months is Rs. 21000.

8 21000

Q.47. What is the average age of children in the class?/

I. The teacher's age is equal to the number of children.

II. If teacher's age is included the average age is increased by 2 years.

2



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Q.48. The area of a rectangle is equal to the area of a semi-circle. What is the length of the rectangle?

I. The perimeter of the rectangle is 42 m.

42

II. The circumference of a semi-circle is 110 m.

110

Q.49. What is the ratio between the number of men, women and children in a town?

I. The total population of the town is 93280 in which there are 54200 men.

93280 54200

II. The ratio between the number of men and children in the town is 5 : 2 and number of

women is twice the number of children.

5 : 2

Q.50. How much profit did Ruchika earned on selling a book?

I. She bought the book at 40% discount on the marked price.

40%

II. She sold it at 8% profit on the marked price.

8%

Q.51. How many students appeared in the examination?

I. Only 50% students passed in the examination.

50%

II. If 10 more students passed the pass percentage would have been 51%.

10 51%

Q.52. What is the length of the slower train?/

I. The faster train of length 100 m takes 10 seconds to pass a man sitting in the slower train.

100 10

II. The speed of the faster train is 80 km/hr.

80 /

Q.53. Is Rahul older than Gaurav?/

I. Kamal is 4 years younger than Rahul and 2 years younger than Gaurav.

4 2

II. The average of Rahul's age and Gaurav's age is 17.

17

Q.54. How much distance did the train cover? /

I. The average speed of the train is 60 km/hr.

60 /

II. During its 8 hours journey it ran 3 hours at 75 km/hr and 5 hours at 45 km/hr.

8 3 75 / 5 45 /

Q.55. A, B and C are integers. Is B an even number?

A, B C B

I. (A+B) is and odd number. / (A+B)

II. (C+B) is an odd number. / (C+B)




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CLASS WORK SHEET

LECTURE-35&36

INEQUALITY AND NUMBER SERIES (vlekurk ,oa la[;k J`a[kyk)Q.1-15.In each of these questions two equations are given. You have to solve these equations and give answer-

(I) If x > y (2) If x < y (3) If x = y or relationship can not be established

(4) If x > y (5) If x < y

Q.1. I. x2 + 2x - 8 = 0 II. y2 - 5y + 6 = 0

Q.2. I. 7y + 3x = 30 II. 6y - 2x = 12

Q.3. I. y2 - 9y + 20 = 0 II. x2 = 9

Q.4. I. 2y2 -11y + 15 = 0 II. 2x2 + 3x - 9 = 0

Q.5. I. 21x2 -17x + 2 = 0 II. 56y2 - 15y + 1 = 0

Q.6. I. x 6561 II. 3y 493039

Q.7. I. 2x + 4y = 28 II. 4x + 3y = 35

Q.8. I. 7x + 8y = 50 II. 5x + 12y = 68

Q.9. I.8 3

xx x

II.

5

22

14y 0

y

Q.10. I. 20x2 +27x + 9 = 0 II. 20y2 - y - 12 = 0

Q.11. I. x2 - 1200 = 244 II. y + 122 = 159

Q.12. I. 14x - 25 = 59 - 7x II. y 222 36 81

Q.13. I. 144x2 - 16 = 9 II. 12y + 4 = 49

Q.14. I. x2 - 9x + 20 = 0 II. y2 - 13y + 42 = 0

Q.15. I.x 3 x 1

5 10 xII.

10 24 y

y y

Q-16-25. In each of the following question, a question is followed by information given in two statement

named as Quantity-I(Q1) and Quantity –II (Q2). You have to study the information along withthe question and compare the value derived from Quantity-I and Quantity-II. Then answer -

I(Q1) II(Q2)

I II

Q-16. Q1- The area of rectangle is equal to the area of triangle whose base and height is 25 cm and 20 cm respectively. Find its area ?

25

20

Q2- If the length and breadth of a rectangle are in the ratio is 3:5 and its perimeter is 80 cm.Find its area ?

3 : 5 80

(1) If (Q1) < (Q2) (2) If (Q1) > (Q2) (3) If (Q1) > (Q2)

(4) If (Q1) < (Q2) (5) If (Q1) = (Q2)

Q-17. Q1- His present age is 4 times the present age of Ram and difference between their ages is 24years. Find Aseem's age?

24


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Q2- Five years ago Aseem’s age was 7 times the age of Mukesh. 4 year hence this ratio

becomes 3:1. What is Aseem's present age?

7 4 3 : 1

(1) If (Q1) > (Q2) (2) If (Q1) < (Q2) (3) If (Q1) > (Q2)

(4) If (Q1) < (Q2) (5) If (Q1)= (Q2)

Q-18. What is the length of the train?/

Q1 - The speed of train is 36 km/hr and it crosses a pole in 20 seconds.

36 20

Q2 - The length of train is twice of the length of plateform and a person crosses the plateform

in 10 sec walking at the speed of the train is 20 m/s.

20

10

(1) If (Q1) > (Q2) (2) If (Q1) < (Q2) (3) If (Q1) > (Q2)

(4) If (Q1) < (Q2) (5) If (Q1) = (Q2)

Q-19. A man sells a mobile at profit of 20%. How much amount he gains in profit?

20%

Q1 - If he sells a mobile for Rs.2450 ./ 2450

Q2 - He purchased a mobile set for Rs.18000./ 18000

(1) If (Q1) > (Q2) (2) If (Q1) < (Q2) (3) If (Q1) > (Q2)

(4) If (Q1) < (Q2) (5) If (Q1) = (Q2)

Q-20. Find the interest accrued on given sum of money.

Q1- If the sum of money is 2400 borrowed at the rate of interest 5% for 5 years.

2400 5% 5

Q2- The interest obtained on Rs.1520 for 2 years at the rate of 10 % compounded annually is-

1520 10%

(1) If (Q1) > (Q2) (2) If (Q1) < (Q2) (3) If (Q1) > (Q2)

(4) If (Q1) < (Q2) (5) If (Q1) = (Q2)

Q-21. What is the age of Nidhi ?/

Q1- Nidhi is three times more older than Ranu and after 6 years this ratio becomes 5 :2.

5 : 2

Q2- Surekha’s age is twice her’s age of 5 years ago . Nidhi ‘s age is twice of Surekha's age.

5

(1) Q1>Q2 (2) Q1<Q2 (3) Q1<Q2

(4) Q1>Q2 (5) Q1=Q2

Q-22. What is the total number of boys in school ?

Q1- Last year the ratio of total number of boys and total number of girls is 4 : 5 when 250 boysand girls each are included then this ratio becomes 5 :6.

4 : 5 250

5 : 6

Q2- In a school there are 3500 students in which 70% are girls.

3500 70%

(1) Q1<Q2 (2) Q1>Q2 (3) Q1<Q2

(4) Q1>Q2 (5) Q1=Q2


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Q-23. What is the speed of Bus ?/

Q1- Bus covers 80 km. distance in 5 hours./ 5 80

Q2- Car covers 160 km in that time in which bus covers 128 km and speed of car is 20 km/hr.

160 128

20

(1) Q1=Q2 (2) Q1<Q2 (3) Q1>Q2

(4) Q1> Q2 (5) Q1< Q2

Q-24. Find the rate of interest per anuum./

Q1- A sum of money becomes five-times at the certain rate of s.i. in 25 years.

25

Q2- If the difference between s.i. and c.i. for 2 years is rs.32 on a sum of money rs.4000.

4000 2 32

(1) Q1>Q2 (2) Q1<Q2 (3) Q1<Q2

(4) Q1>Q2 (5) Q1=Q2

Q-25. Find the area of given figure./

Q1- If the length of diagonals of rhombus 44 cm and 68 cm.

44 68

Q2- The area of square is equal to area of semicircle of perimeter 144 cm.

144

(1) Q1=Q2 (2) Q1<Q2 (3) Q1>Q2

(4) Q1>Q2 (5) Q1>Q2

Q.26-35. What will come in place of question mark (?) in the following number series?

Q.26. 4 3 4 7 15 ?

(1) 31 (2) 35 (3) 39 (4) 44 (5) 48

Q.27. 7 5 7 17 63 ?

(1) 228 (2) 269 (3) 296 (4) 309 (5) 325

Q.28. 11 14 19 28 43 ?

(1) 76 (2) 66 (3) 75 (4) 65 (5) 55

Q.29. 2 60 10 120 30 ?

(1) 210 (2) 220 (3) 240 (4) 290 (5) 343

Q.30. 23 50 108 232 496 ?

(1) 952 (2) 1056 (3) 1348 (4) 1485 (5) 1564

Q.31. 2 10 25 ? 84 132

(1) 48 (2) 49 (3) 50 (4) 51 (5) 52

Q.32. 1 3 10 51 358 ?

(1) 3918 (2) 3939 (3) 2929 (4) 4141 (5) 4517

Q.33. 726 1014 1734 ? 3174 5046

(1) 2166 (2) 2372 (3) 2582 (4) 2491 (5) 2209

Q.34. 3 20 88 273 ? 559

(1) 554 (2) 501 (3) 472 (4) 451 (5) 432

Q.35. 27 54 86 ? 187 272

(1) 96 (2) 100 (3) 108 (4) 117 (5) 128


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Q.36-45. In the following number series only one number is wrong. Find out the wrong number.

Q.36. 16 18 44 136 548 2744

(1) 16 (2) 18 (3) 136 (4) 2744 (5) None of these

Q.37. 64 165 100 136 120 124

(1) 100 (2) 165 (3) 136 (4) 124 (5) None of these

Q.38. 75 74 146 430 1736 8675

(1) 75 (2) 146 (3) 430 (4) 74 (5) None of these

Q.39. 5 6 15 41 105 230

(1) 15 (2) 6 (3) 41 (4) 5 (5) None of these

Q.40. 15 16 36 116 484

(1) 15 (2) 36 (3) 116 (4) 484 (5) None of these

Q.41. 26 146 66 115 90 99

(1) 26 (2) 66 (3) 115 (4) 146 (5) None of these

Q.42. 7 8 13 27 67.5 206.5

(1) 7 (2) 8 (3) 13 (4) 67.5 (5) None of these

Q.43. 144 72 24 6 1.2 0.3

(1) 72 (2) 24 (3) 6 (4) 1.2 (5) None of these

Q.44. 4 11 10 48 173 888

(1) 4 (2) 11 (3) 10 (4) 173 (5) None of these

Q.45. -10 -9 -10 - 4 52 385

(1) -10 (2) -9 (3) -4 (4) 52 (5) None of these

Q.46. 15, 17, 23, 35, 55

29 (a) (b) (c) (d) (e)

Which of the following numbers will come in place of (c) ?

(c)

(1) 99 (2) 31 (3) 69 (4) 37 (5) 49

Q.47. 214, 200, 172, 130, 74

417 (a) (b) (c) (d) (e)

Which of the following numbers will come in place of (d) ?

(d)

(1) 275 (2) 277 (3) 282 (4) 290 (5) None of these

Q.48. 4, 18, 75, 317, 1275

11 (a) (b) (c) (d) (e)

Which of the following numbers will come in place of (c) ?

(c)

(1) 750 (2) 752 (3) 753 (4) 775 (5) None of these

Q.49. 7, 15, 32, 67, 138

5 (a) (b) (c) (d) (e)

Which of the following numbers will come in place of (b) ?

(b)

(1) 11 (2) 106 (3) 24 (4) 217 (5) None of these

Q.50. 3, 4, 10, 33, 136

7 (a) (b) (c) (d) (e)

Which of the following numbers will come in place of (d) ?

(d)

(1) 18 (2) 232 (3) 1165 (4) 57 (5) None of these


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CLASS WORK SHEET LECTURE-02 ADDITION AND ...

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