STUDY NOTES FOR BANKING EXAMS

STUDY NOTES FOR BANKING EXAMS

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What is Number series??

Now a days most of you must be using facebook, whatsapp and

other social media platforms and many of times we see questions

like this

Or even in many exams like railway and SSC and many more

exams in reasoning section we see questions like this

But wait we are not going to discuss all this. In this study note we

are only going to discuss about number series which are asked in

banking and insurance exams under quantitative aptitude section.

So lets start

Number Series- Number series is a order of numbers which are

not arranged randomly but follow a pattern. Here in this not we

weill understand how to identify which kind of pattern is following

because without this it is next to impossible to have a command on

number series.

Number series is a form of numbers in a certain sequence, where

some numbers are mistakenly put into the series of numbers and

some number is missing in that series, we need to observe first and

then find the accurate number to that series of numbers.

Scope in exams-Almost in every pre and mains exam of banking

number series questions are asked in bunches of 5 questions and as

we know now a days pre exams are conducted with time

restrictions importance of number series becomes very high and

they could be solved in very little time,

NUMBER SERIES





































































































Different types of Number Series

There are some format of series which are very frequently asked in

Exams.

Difference series-In this tytpe of series pattern can be find by

using difference of terms.

If any pattern is found after first difference like sqare,cube or

multiplication then this is called one tier series otherwise we need

to proceed further and then it is call two tier series.

20 28 37 47 58 70

8 9 10 11 12

Fibonacci Series-In this kind of series next term is find out by

adding previous number.

1 1 2 3 5 8 13 21

Prime Number series-In this kind of series next term is find out

by adding, multiplying or dividing by prime numbers.

2 4 12 60 420 4620

Perfect Square Series

This Types of Series are based on square of a number which is in

same order and one square number is missing in that given series.

480 525 572 621 672 725

222-4 232-4 242-4 252-4 262-4 272-4

Perfect Cube Series-

This Types of Series are based on cube of a number which is in

same order and one cube number is missing in that given series.

2197 3375 4913 6859 9261

133 153 173 193 213

Ration Series

This type of series are based on ration series, where sequence are

in form of ratio in difference between the numbers. All numbers

are arranged in ratio sequence order.

4096 5120 6400 8000 10000

Here ratio between each consecutive term is 4:5 or we can say next

term can be found by multiplying 5/4 to previous term.

Mixed Series

This series is most important and asked in exam more frequently

than any other pattern.

Mixed Number series is a arrangement of numbers in a certain

order. How you know that the given series is mixed series, notice

that this type of series are more then one different order which

arranged in alternatively in a single series or created

according to any non-conventional rule.

In mixed Series a mixed number is a combination of number in

another way it is not a sequential number series number that you

have arranged. In example 1, 111, 220, 438, ?, 1746 where you

need to count them in a one step or two step calculation for obtain

the difference common result according with the series of mixed

numbers .

Type of questions asked in exam-

Missing number:

In this type of series one number is missing in given series. Such

type of series, find the given pattern and find the missing number.

Generally this kind of series is asked in pre exams.





























































































Wrong Number Series:

In this type of series one number is odd man out. Which does not

follow the sequence.

Generally this kind of series is asked in mains exams.

Note-

Coding Decoding Series:

In this type of series firstly one series is given and with the help of

first series next number of second series is to be find out.

Generally this kind of series is asked in relatively tough exams like

SBI PO mains and other. They are treated as most tough number

series.

How to proceed number series-

Examine the difference between adjacent numbers

If series is increasing find its rate means how fast or how slow the

series is increasing.

First of all you need to check logical series i.e. whether difference

is square or cube or close to it. For example difference may be

22+1,32+2,42+3 and so on.

If it is increasing slowly reason may be addition hence find the

difference and then solve.

If it is increasing very fast reason may be multiplication. start from

last end and get how many times last term is from previous term

and if there is any difference then try to find pattern by moving

leftward and solve.

If it is decreasing slowly reason may be difference hence find the

difference and then solve.

If it is decreasing very fast reason may be division, start from last

end and get how many times last term is from previous term and if

there is any difference then try to find pattern by moving leftward

and solve.

If the terms are increasing and decreasing alternatively reason may

be addition and subtraction so you need to find difference and then

try to solve

If you still not able to find any pattern better go and try other

series.

Generally in exams one or two questions are given very tough and

most of question follow very common pattern which you studied in

your classrooms so you should need to try to find those type of

questions.





















































































Q.1. What value will come in place of question mark (?) in

the number-series given below ?

23 28 38 53 73 ?

(1) 98 (2) 99 (3) 95

(4) 97 (5) 96



7 127 187 217 232 ?

(1) 237.5 (2) 239.5 (3) 236

(4) 240.5 (5) 241



723 712 690 657 613 ?

(1) 556 (2) 551 (3) 552

(4) 558 (5) None of these

Q.4. What should come in place of question marks(?) in the

following number series:-

90 110 132 156 182 ?

(1) 207 (2) 307 (3) 309

(4) 323 (5) 310



2 18 95 384 1155 ?

(1) 2212 (2) 2629 (3) 2735

(4) 2312 (5) 2412

Q.6. What will come in place of question mark (?) in the

following number series given below ?

5 366 655 ? 1049 1170

(1) 880 (2) 882 (3) 876




17 45 148 607 ? 18331

(1) 3048 (2) 3056 (3) 3060




3 8 ? 204 1421 11360

(1) 32 (2) 35 (3) 36




15 32 83 168 287 ?

(1) 442 (2) 438 (3) 440




31 39 ? 130 255 471

(1) 65 (2) 68 (3) 62


Q.11. What value will come in question mark (?) in following

number series?

23 26 31 38 ? 62

(1) 49 (2) 48 (3) 47

(4) 46 (5) 52


number series?

1 6 13 24 41 ?

(1) 61 (2) 58 (3) 55



number series?

2 3 14 ? 2068 51705

(1) 121 (2) 129 (3) 127

(4) 123 (5) 130


number series?

6 30 120 600 ? 12000

(1) 2004 (2) 2000 (3) 2200

(4) 2400 (5) 2450

Q.15. What will come in place of the question mark (?) in the

following number series?

3 7 19 55 163 ?

(1) 467 (2) 487 (3) 475

(4) 485 (5) 312



1598 798 398 198 ? 48

(1) 56 (2) 74 (3) 68

(4) 98 (5) 105



7 8 12 21 37 ?

(1) 64 (2) 63 (3) 62

(4) 61 (5) 125



3 19 115 691 ? 24883

(1) 6923 (2) 4147 (3) 2719

(4) 1463 (5) 3605

PRACTICE TEST



















































































6 13 28 59 ? 249

(1) 124 (2) 122 (3) 120

(4) 118 (5) 225



5 366 655 ? 1049 1170

(1) 880 (2) 882 (3) 876




723 712 690 657 613 ?

(1) 556 (2) 551 (3) 552




90 110 132 156 182 ?

(1) 207 (2) 307 (3) 309

(4) 323 (5) 210



2 18 95 384 1155 ?

(1) 2212 (2) 2629 (3) 2735

(4) 2312 (5) 2412

Q.24. In the following number series what should come at the

place of question mark?

12 51 217 993 ?

(1) 4783 (2) 5181 (3) 6043




84 92 ? 147 122

(1) 83 (2) 84 (3) 87




0.8 34 ? 480 966

(1) 144 (2) 160 (3) 175




1.2 5.4 20.2 107 ?

(1) 680 (2) 544 (3) 209.5




28 15 7 4.75 ?

(1) 11.25 (2) 2.25 (3) 4.95

(4) 4.75 (5) None of these

Q.29. In the following number series what should come at

place of question mark(?)

43 133 275 291 ?

(1) 155 (2) 127 (3) 0

(4) -25 (5) 25



424 540 635 711 ?

(1) 775 (2) 770 (3) 745

(4) 795 (5) 812



11 31 69 131 ?

(1) 220 (2) 209 (3) 223

(4) 225 (5) Nome of these

Q.32. What should come at place of question mark (?) in the

following number series ?

4372 2691 4455 2606 ?

(1) 4535 (2) 4478 (3) 4542




12 19 51 197 ?

(1) 975 (2) 977 (3) 1204




24 5 2 1.5 1.5 ?

(1) 3 (2) 4 (3) 2.75

(4) 1.5 (5) 1.75



2721 4449 2252 4996 ?

(1) 8371 (2) 1621 (3) 2116




1.6 6.2 20.6 83.4 ?

(1) 122.5 (2) 424.8 (3) 83.75
















































































64 98 200 508 ?

(1) 1525 (2) 1515 (3) 1540


Q.38. In the following number series only one number is

wrong. Find out the wrong number.

16 18 44 136 548 2744

(1) 16 (2) 18 (3) 136




64 165 100 136 120 124

(1) 100 (2) 165 (3) 136




75 74 146 430 1736 8675

(1) 75 (2) 146 (3) 430




5 6 15 41 105 230

(1) 15 (2) 6 (3) 41




15 16 36 116 484

(1) 15 (2) 36 (3) 116


Q.43. What should come at place of question mark(?) in the


28 51 110 229 ?

(1) 445 (2) 515 (3) 619




64 80 ? 210 420

(1) 160 (2) 200 (3) 120




3.1 11.3 48.2 ? 1475

(1) 424.5 (2) 245 (3) 242




37.2 21.6 14.8 12.4 ?

(1) 12.2 (2) 12.4 (3) 14.4



place of question mark (?)

18 33 57 92 ?

(1) 135 (2) 125 (3) 140



place of question mark (?)

8 16 ? 120 420

(1) 20 (2) 24 (3) 36




19 22 37 ? 135

(1) 69 (2) 72 (3) 75


Q.50. In the follwoing Number series Find the missing term?

11 26 ? 338 1697

(1) 50 (2) 74 (3) 67


निम्िनिनित संख्या श्रंििा में िुप्त संख्या का पता िगाइये?

11 26 ? 338 1697

(1) 50 (2) 74 (3) 67

(4) 83 (5) इिमें से कोई िहीं


1528 1548 ? 1620 1676

(1) 1565 (2) 1578 (3) 1568



2 9 64 625 ?

(1) 7776 (2) 900 (3) 1225



215 1071 4281 12841 ?

(1) 36540 (2) 25681 (3) 32841



192 144 108 81 ?

(1) 62.75 (2) 36 (3) 54














































































Q.55. What value will come in place of question mark (?)

in the number-series given below?

2 3 7 16 32 ?

(1) 57 (2) 59 (3) 56

(4) 60 (5) 75


the number-series given below?

8 14 24 38 56 ?

(1) 55 (2) 65 (3) 96

(4) 78 (5) 87



6 4 5 11 39 ?

(1) 188 (2) 198 (3) 189

(4) 199 (5) 200



14 7 7 14 56 ?

(1) 158 (2) 184 (3) 484

(4) 884 (5) 448

Q.59. In the following number series what value should come

at place of question mark (?)

19 15 26 74 ?

(1) 144 (2) 192 (3) 216




70 38 24 19 ?

(1) 15 (2) 13.5 (3) 18.5




8874 7790 6639 5419 ?

(1) 4120 (2) 4005 (3) 4128




7.2 10.4 9.2 14.4 ?

(1) 10.5 (2) 9.3 (3) 12.8




89.6 112 140 175 ?

(1) 215.25 (2) 231 (3) 218.75

(4) 233.75 (5) None of these



3072 3840 4800 6000 7500 ?

(1) 9000 (2) 8500 (3) 9375




8445 9229 8268 9424 8055 ?

(1) 9750 (2) 9655 (3) 9876




144 129 106 73 ? -31

(1) -5 (2) 28 (3) -21




116 215 346 509 704 ?

(1) 631 (2) 845 (3) 911


Q.68. 2, 9, 28, 65, 126, 216, 344

(1) 2 (2) 28 (3) 65

(4) 126 (5) 216

Q.69. 18.3, 20.6 , 16, 22.9 , 13.7, 2.2, 11.4

(1) 25.2 (2) 18.3 (3) 13.7

(4) 22.9 (5) 20.6

Q.70. 9 , 5 , 6 , 10.5 , 23 , 61, 183

(1) 183 (2) 10.5 (3) 61

(4) 5 (5) 9

Q.71. 188, 154, 140, 132 ,128, 126 , 125

(1) 125 (2) 154 (3) 132

(4) 126 (5) 188

Q.72. 2, 4 , 11 , 37 , 151 , 771 , 4633

(1) 11 (2) 4633 (3) 771

(4) 151 (5) 37

Q.73. 391 , 394 , 399 , 411 , 431 , 461, 503

(1) 503 (2) 394 (3) 399

(4) 431 (5) 391

Q.74. 50 51 47 56 42 65 29

(1) 51 (2) 47 (3) 56

(4) 42 (5) 65

Q.75. 3 9 23 99 479 2881 20159

(1) 9 (2) 23 (3) 99

(4) 479 (5) 2881

Q.76. 7 4 6 9 20 52.5 160.5

(1) 6 (2) 4 (3) 20













































































(4) 9 (5) 5

Q.77. 1 3 6 11 20 39 70

(1) 3 (2) 39 (3) 11

(4) 20 (5) 6

Q.78. 2 13 27 113 561 3369 23581

(1) 27 (2) 13 (3) 113

(4) 561 (5) 3369

Q.79. 7 16 27 40 46

(1) 7 (2) 16 (3) 27

(4) 40 (5) 46

Q.80. 729 1331 2497 3375 4913

(1) 729 (2) 1331 (3) 3375

(4) 2497 (5) 4913

Q.81. 80 119 166 221 223

(1) 80 (2) 119 (3) 166

(4) 192 (5) 223

Q.82. 8 8.5 11.5 14 17

(1) 8 (2) 5 (3) 5

(4) 14 (5) 17

Q.83. 439 778 1456 2812 5624

(1) 439 (2) 778 (3) 1456

(4) 2812 (5) 5624

Q.84. 17, 36, 132, 635, 3500, 21750, 153762

(1) 635 (2) 17 (3) 132

(4) 3500 (5) 36

Q.85. 17, 20, 46, 147, 599, 3015, 18018

(1) 20 (2) 46 (3) 599

(4) 147 (5) 3015

Q.86. 90, 135, 286, 750, 2160, 6405, 19155

(1) 90 (2) 750 (3) 6405

(4) 286 (5) 2160

Q.87. 9, 14, 40, 129, 536, 2705, 16260

(1) 14 (2) 40 (3) 536

(4) 9 (5) 129

Q.88. 8, 18, 64, 272, 1395, 8424, 59045

(1) 18 (2) 8 (3) 272

(4) 1395 (5) 64

Q.89. 32, 39, 65, 128, 253, 467, 809, 1320

(1) 39 (2) 65 (3) 253

(4) 467 (5) 32

Q.90. 38, 49, 62, 72, 77, 91, 101

(1) 49 (2) 72 (3) 77

(4) 91 (5) 38

Q.91. 19, 22, 32, 46, 73, 108, 158

(1) 22 (2) 46 (3) 73

(4) 19 (5) 158

Q.92. In the following number series first find the pattern and

then applying same pattern in next series find the correct

answer

11 22 3 32 -9

22 A B C D

Find what will come at place of C?

(1) 44 (2) 24 (3) 43


Q.93. In the following number series first find the pattern and

then applying same pattern in next series find the correct

answer

19 29 42 58 77

-15 A B C D

Find what will come at place of A?

(1) -2 (2) -5 (3) 5


















































































Q.1.(1) +5, +10, +15, +20, +25

Q.2.(2) +120, +60, +30, +15, +7.5

Q.3.(4) -11, -22, -33, -44, -55

Q.4.(5) +20,+22,+24,+26,+28

Q.5.(4) 2 × 6 + 6 = 18

18 × 5 +5 = 95

95 × 4 + 4 = 384

384 × 3 + 3 = 1155

1155 × 2+2 = 2312

Q.6.(1) +192, + 172, + 152, +132,+112

Q.7.(4) × 2 +11, × 3 + 13, × 4 + 15, × 5 + 17

Q.8.(2) × 4 - 4 , × 5 - 5, ×6 - 6, ×7 - 7

Q.9.(3) +17, +51, +85, +119

Q.10.(5) + 23, +33, +43,+53,+63

Q.11.(1) +3,+5,+7,+11,+13

Q.12.(5)

Q.13.(2) ×12 + 1, ×22 + 2, ×32 + 3, ×42 + 4,×52 + 5

Q.14.(4) ×5,×4,×5,×4,×5

Q.15.(2) × 3 – 2

Q.16.(4) ÷ 2 -1, ................

Q.17.(3) + 12, + 22, + 32, + 42, + 52

Q.18.(2) × 6 + 1, ...............

Q.19.(2) × 2 + 1, × 2 +2, × 2 + 3, × 2 + 4, × 2 + 5

Q.20.(1) +192, + 172, + 152, +132,+112

Q.21.(4) -11, -22, -33, -44, -55

Q.22.(5) +20,+22,+24,+26,+28

Q.23.(4) 2 × 6 + 6 = 18

18 × 5 +5 = 95

95 × 4 + 4 = 384

384 × 3 + 3 = 1155

1155 × 2+2 = 2312

Q.24.(2) ×2+33 × 3+43 ×4+53 ×5+63

Q.25.(1) +23 –32 +43 –52

Q.26.(4) ×5+5×6 ×4+4×5 ×3+3×4 ×2+2×3

Q.27.(4) ×2+3 ×3+4 ×5+6 ×7+8

Q.28.(3) ÷2+1 ÷3+2 ÷4+3 ÷5+4

Q.29.(5) 3+22 2+32 1+42 0+52 and so on

Q.30.(2) add 112-5 102-5 92-5 82-5

Q.31.(3) 23+3 33+4 43+5 53+6 63+7

Q.32.(3) -412 +422 -432 +442

Q.33.(2) ×2-5 ×3-6 ×4-7 ×5-8

Q.34.(5) 6 + 1 5 + 1 4 + 1 ÷ 3 + 1 ÷ 2

+ 1

Q.35.(2) +123, -133, +143, - 153

Q.36.(4) ×2+3 ×3+2 ×4 + 1 × 5+0

Q.37.(3) ×1.5+2 ×2+22 ×2.5+23 ×3 + 24

Q.38.(2) ×1+4, ×2+4, ×3+4 --------

Q.39.(2) +(10)2, -(8)2, +(6)2, -(4)2--------

Q.40.(3) ×1-1, ×2-2, ×3-3, ×4-4 --------

Q.41.(1) 5+13 = 6, 6+23 = 14, 14+33 = 41

41+43 = 105, 105+53 = 230

Q.42.(3) ×1 + 12,×2+22, ×3+32 -------

Q.43.(5) 33-4 43-5 53-6 63-7

438 should be next number

Q.44.(3)

and so on

hence 120 should come at place of question mark

Q.45.(2) 3+2 4+3 5+4 6+5 and so on

so 245 should come at place of question mark

Q.46.(1) ÷2+3 ÷2+4 ÷2+5 ÷2+6

Q.47.(3) Add 5×3 6×4 7×5 and so on

Q.48.(4) ×2 ×2.5 ×3 ×3.5

So next term will be

16 2.5=40

×2 ×2.5 ×3 ×3.5

Q.49.(2) On adding

22-1 42-1 62-1 82-1

hence correct answer will be

37+35=72

Q.50.(4)

Q.51.(2) 42+4 52+5 62+6 and 50 on.

Q.52.(1) 21 32 43 54 65

Q.53.(2) ×5 - 4 ×4 - 3 ×3-2 ×2-1

Q.54.(4) Following series is a geometric series and Ratio

between any two consecutive term is 4 : 3.

Q.55.(1) 2 + 12

= 3

3 + 22

= 7

7 + 32

= 16

16 + 42

= 32

32 + 52

= 57

































































































































Q.56.(4) 8……….14……..24……….38……..56

…..+6……+10…….+14………+18

…….+4………+4…………+4…….+4

56 + 18 + 4 = 78

Q.57.(3) 6 x 1 – 2 = 4

4 x 2 – 3 = 5

5 x 3 – 4 = 11

11 x 4 – 5 = 39

39 x 5 – 6 = 189

Q.58.(5) 14 x 0.5 = 7

7 x 1 = 7

7 x 2 = 14

14 x 4 = 56

56 x 8 = 448

Q.59.(4)

Q.60.(3)

Q.61.(3)

Q.62.(4)

Q.63.(3)

Q.64.(3)

Q.65.(2) +282 -312 +342 -372 +402

hence 9655 will be correct answer

Q.66.(2) Substract 42-1 52-2 62-3 72-4 82-5

Q.67.(4) 112-5 152-10 192-15 232-20 272-25 312-30

hence 931 will be correct answer

Q.68.(5) 2 9 28 65 126 217 344

7 19 37 61 91 127

`12 18 24 30 36

Q.69.(1) 18.3 + 2.3 = 20.6

20.6 - 4.6 = 16

16 + 6.9 = 22.9

22.9 - 9.2 = 13.7

13.7 +11.5 = 25.2

25.2 - 13.8 = 11.

Q.70.(3) 9 × 0.5 + 0.5 = 5

5 × 1 + 1 = 6

6 × 1.5 + 1.5 = 10.5

10.5 × 2 + 2 = 23

23 × 2.5 + 2.5 = 60

60 × 3 + 3 = 183

Q.71.(2) 186 - 36 = 154

154 - 16 = 140

140 - 8 = 132

132 - 4 = 128

128 - 2 = 126

126 - 1 = 125

Q.72.(4) 2 x 1 + 2 = 4

4 x 2 + 3 = 11

11 x 3 + 4 = 37

37 x 4 + 5 = 153

153 x 5 + 6 = 771

771 x 6 + 7 = 4633

Q.73.(2) 391 + 2 = 393

393 + 6 = 399

399 + 12 = 441

441+ 20 = 431

431 + 30 = 461

461 +40 = 503

Q.74.(4) 50 + 12 = 51, 51 – 22 = 47, 47 + 32 = 56, 56 – 42 = 40,

40 + 52 = 65, 65 – 62 = 29.

40 should be in place of 42.

Q.75.(3) 3 × 2 + 3 = 9, 9 × 3 – 4 = 23, 23 × 4 + 5 = 97, 97 × 5 –

6 = 479, 479 × 6 + 7 = 2881, 2881 × 7 – 8 = 20159

Q.76.(1) ×0.5 + 0.5, ×1 + 1, ×1.5 + 1.5, x×2 + 2, x 2.5 + 2.5, x

3 + 3…


Q.77.(2) 1 × 2 + 1 = 3, 3 × 2 + 0 = 6, 6 × 2 – 1 = 11, 11 × 2 – 2

= 20, 20 × 2 – 3 = 37, 37 × 2 – 4 = 70.


Q.78.(2) 2 × 2 + 7 = 11, 11 × 3 – 6 = 27, 27 × 4 + 5, = 113, 113

× 5 – 4 = 561, 561 × 6 + 3 = 3369, 3369 × 7 – 2 =

23581.






































































































































Q.79.(2) 5 × 1 + 2 = 7, 6 × 2 + 4 = 16, 7 × 3 + 6 = 27, 8 × 4 + 8

= 40, 9 × 5 + 10 = 55.


Alternate Method: +9, +11, +13, +15

Q.80.(4) 93, 113, 133, 153, 173,


Q.81.(5) 92 – 1, 112 – 2, 132 – 3, 152 – 4, 172– 5,


Q.82.(2) 8 + 1.5 = 9.5, 9.5 + 2 = 11.5, 11.5 + 2.5 = 14, 14 + 3 =

17

9.5 should be in place of 8.5.

Q.83.(5) +339, +678, +1356, +2712,


Q.84.(1) 636 should be in the place of 635.

The series is (17 + 1^3) × 2, (36 + 2^3) × 3, (132 +

3^3) × 4, (636 + 4^3) × 5


×1 + 3, ×2 + 6, ×3 + 9, ×4 + 12, ×5 + 15


(90-45) × 3, (135-40) × 3, (285-35) × 3, (750-30) × 3,

(2160-25) × 3,…

Q.87.(2) 38 should bin the place of 40.

×1 + 5, ×2 + 10, ×3 + 15, ×4 + 20, ×5 + 25

Q.88.(2) (8+1) × 2, (18+3) × 3, (63+5) × 4, (272+7) × 5

Q.89.(3)

Q.90.(2) 38 = 3+8 = 11 = 38 +11 = 49

49 = 4+9 = 13 = 49 +13 = 62

62 = 6+2 = 8 = 62 + 8 = 70 ≠ 72

70 = 7+0 = 7 = 70+ 7 = 77

77 = 7+7 = 14 = 77+14 = 91

91 = 9+1 = 10 = 91+10 = 101

Q.91.(2)

Q.92.(3) add 42-5 substract 52-6 and so on

Q.93.(2) 42-3*2 52-4*3 and so on

add 10 13 16 19 and so on





















































































STUDY NOTES FOR BANKING EXAMS

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