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TARGET NO-1 CLASSES (A UNIT OF) EXECUTIVE MAKERS PVT.LTD. V-157
FOR DOWNLOADING BOOKS : www.executivemakers.com Page-1
TARGET NO-1 CLASSES (A UNIT OF) EXECUTIVE MAKERS PVT.LTD. V-157
FOR DOWNLOADING BOOKS : www.executivemakers.com Page-2
Book code-V157 For online books
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FCI SOLVED SET PAPERS
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PRACTICE SET-1 General Intelligence & Reasoning
Directions (1-5) : In each of the following questions, select the related letters/word/number from the given alternatives. 1. SKIT : TIKS : : ? : FLAP
(1) PLFA (2) PFAL (3) PLAF (4) PALF
2. 6 : 36 : : 9 : ? (1) 81 (2) 98 (3) 42 (4) 56
3. 384 : ? : : 216 : 63 (1) 128 (2) 124 (3) 113 (4) 192
4. Asthma : Lungs : : Conjunctivitis : ? (1) Bones (2) Teeth (3) Eyes (4) Blood
5. Thermometer : Temperature : : Glucometer : ? (1) Body Sugar (2) Body Resistance (3) Blood (4) Blood Sugar
Directions (6-8) : In each of the following questions, find the odd word/number/letters from the given alternatives. 6. (1) 4249 (2) 7586
(3) 4623 (4) 9781 7. (1) X (2) P
(3) D (4) I 8. (1) Reed (2) Pit
(3) Tab (4) Hold Directions (9-14) : In each of the following questions, a series is given, with one term missing. Choose the correct alternative from the given one that will complete the series. 9. ZA, VC, RE, NG, ?, FK
(1) OH (2) KI (3) IJ (4) JI
10. 4, 16, 36, ?, 100 (1) 56 (2) 64 (3) 48 (4) 52
11. 12, 23, 34, 45, ?, 67, 78, 89 (1) 76 (2) 69 (3) 56 (4) 54
12. ACE, BDF, GIK, ? (1) JHM (2) HJI (3) HJL (4) MJH
13. DEF, HIJ, MNO, ? (1) RTV (2) SRQ (3) RST (4) STU
14. If 20 + 15 = 24 and 64 + 13 = 42, then 11 + 28 = ? (1) 33 (2) 36 (3) 31 (4) 34
15. Reena walks 4 km East and then cycles 10 km North, turns to the left and covers 4 km and once again turns to the North and moves 2 km. How far is she from the starting point?
(1) 10 km (2) 14 km (3) 8 km (4) 12 km
16. In a certain code, ‘CAPITAL’ is written as ‘CPATILA’, How is ‘PERSONS’ written in that code?
(1) PSONRES (2) PONSRES
(3) PESONRS (4) PREOSSN 17. in the following problem :
= stands for + stands for –
stands for = - stands for > > stands for +
< stands for
stands for < When these new symbols are substituted, only one will be correct. Identify the correct equation.
(1) 24 = 4 > 5 17 + 13
(2) 24 > 4 + 5 17 + 13
(3) 24 = 4 > 5 17 > 13 (4) None of the above
Directions (18-20) : In each of the following questions, select the missing number from the given responses. 18. 5 7 4 39
6 9 5 59 7 11 ? 83
(1) 6 (2) 7 (3) 4 (4) 8
19. 8 16 10 2 8 5 4 ? 9 8 5 11
(1) 2 (2) 5 (3) 4 (4) 3
20. 8 (14) 15 13 (18) 22 25 (?) 41 (1) 33 (2) 42 (3) 14 (4) 32
21. Which of the answer figures is exactly the mirror-image of the given figure, when the mirror is held as shown? Question Figure :
Answer Figure :
(1) (2)
(3) (4) 22. A triangular sheet of paper has been folded and punched
as shown in the figure. You have to figure out from amongst the four response figures, how it will appear when opened? Question Figures :
Answer Figures :
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(1) (2)
(3) (4) 23. Which figure represents the relationship among Hockey
Players, Rubber Balls, Poets?
(1) (2)
(3) (4)
(5) (1) 1 (2) 4 (3) 2 (4) 5
24. How many squares are there is a given figure?
(1) 12 (2) 13 (3) 10 (4) 11
Directions (25) : In the following question, two statements ate followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions if any, definitely follows from the given statements. 25. Statements :
I. Parental role in the education of their children is very significant. II. All parents must realise this Conclusions : I. Parentless children cannot develop to their maximum potential. II. Parents can help their children in their education.
(1) Neither conclusion I nor II follows (2) Both conclusions I and II follow (3) Only conclusion I follows (4) Only conclusion II follows
General Awareness 26. There is no selling cost under
(1) oligopoly (2) duopoly (3) perfect competition (4) monopolistic competition
27. Which of the following systems in independent India goes against the very basis of democracy?
(1) Party system (2) Parliamentary system (3) Caste system (4) Economic system
28. Which one of the following statements is correct? (1) The value of a commodity depends upon its price. (2) The value of a commodity is entirely dependent upon the substitutes.
(3) A commodity will have value if it is wanted by somebody. (4) A commodity will have value only if it is scarce relative to demand.
29. For controlling inflation, the central bank should (1) purchase Government securities in the open market (2) lower the reserve ratio of the banks (3) sell Government securities in the open market (4) lower the bank rate
30. Match the medieval travellers with their countries.
A. Marco Polo 1. Spain
B. Ibn Batuta 2. Balkh
C. Antonio Monserrate 3. Italy
D. Mahmud Wali Balkhi 4. Morocco
A B C D (1) 3 4 1 2 (2) 1 3 2 4 (3) 4 3 1 2 (4) 3 1 4 2
31. Rana Kumbha constructed the Tower of Victory at Chittor to mark his victory over
(1) The Khan of Nagaur (2) Roa Jodha of Marwar (3) Ahmad Shah of Gujarat (4) Mahmud Khalji of Malwa
32. Match the following:
A. Sarojini Naidu 1. Muslim League
B. M.A. Jinnah 2. Indian National
Congress
C. Sir Tej Bahadur
Sapru
3. Hindu
Mahasabha
D. V.D. Savarkar 4. Liberal Party
A B C D (1) 2 4 1 3 (2) 4 1 3 2 (3) 2 1 4 3 (4) 2 1 3 4
33. A citizen can directly move the Supreme Court for any violation of Fundamental Rights under
(1) Article-33 (2) Article-34 (3) Article-31 (4) Article-32
34. Which one of the following sitting Vice-Presidents of India contested for the post of President and lost the election?
(1) S. Radhakrishnan (2) V.V. Giri (3) Bhairon Singh Shekhawat (4) Both (2) and (3)
35. Identify the medical trio of ancient India from the following names
(1) Charaka, Susruta and Bharata (2) Charaka, susruta and Patanjali
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(3) Charaka, Susruta and Vagbhata (4) Charaka, Vatsyayana and Vagbhata
36. Vegetation is effective in absorbing (1) high frequency sound (2) pollutant metals (3) pollutant gases (4) polluted water
37. The fundamental role of root hairs in plants is (1) to absorb water and mineral salts from the soil . (2) to bind soil particles to the root for firm fixation of the plant. (3) to protect the young root from damage by coarse soil parties. (4) to protect the root from soil microbes.
38. Which one of the following acts as a mediator between the user’s program and the hardware?
(1) Operating System (2) Browser (3) Compiler (4) Editor
39. Petrology is the study of (1) earth (2) minerals (3) rocks (4) soils
40. The red colour of ripe tomatoes is due to the presence of (1) chlorophyll (2) carotenoids (3) hormones (4) vitamins
41. Anticoagulants are not present in (1) leech (2) wasp (3) mosquito (4) bed bug
42. The substances which have infinite electrical resistance are called
(1) conductors (2) resistors (3) insulators (4) condensers
43. A bioenergy source obtained by fermentation to supplement fossil fuel petrol is
(1) Diesel (2) Methane (3) Kerosene (4) Ethanol
44. A liquid is said to boil when its (1) vapour pressure is greater than the surrounding pressure. (2) vapour pressure is less than the surrounding pressure. (3) vapour pressure equals the surrounding pressure. (4) vapour pressure vanishes to zero.
45. PVC is obtained by the polymerisation of (1) Styrene (2) Acetylene (3) Propene (4) Vinyl chloride
46. Stainless steel is an alloy of (1) iron, carbon and zinc (2) iron, zinc and maganese (3) iron, chromium and nickel (4) iron, chromium and carbon
47. Which one of the following iron and steel works in India is not under public sector?
(1) Bhilai (2) Durgapur (3) Bokaro (4) Jamshedpur
48. The first woman to conquer Mount Everest twice, is (1) Santosh Yadav (2) Suma Shirur (3) Suraj Lata Devi (4) Jyoti Randhawa
49. What is the name of the first research station established by India in the Antarctica?
(1) Agnihotri (2) Aryabhatta
(3) Dakshin Gangotri (4) Maitri 50. Which of the following is not correctly paired?
(1) Harbhajan Singh - Kabaddi (2) Saina Nehwal - Badminton (3) Jwala Gutta - Tennis (4) Virat Kohli – Cricket
Quantitative Aptitude 51. A bookseller makes 8% profit after selling the book at
10% discount. The ratio of the cost price to the marked price is
(1) 5 : 6 (2) 6 : 5 (3) 4 : 5 (4) 5 : 4
52. A certain sum of money is distributed to A and B in the ratio 2 : 5. If A received Rs. 100, then the money received by B is
(1) Rs. 250 (2) Rs. 300 (3) Rs. 200 (4) Rs. 150
53. What is the value of (2.1)2 × 0.0441 = ? (1) 92.51 (2) 0.9251 (3) 0.9261 (4) 92.61
54. The greatest number that can divide 140, 176, 264 leaving remainders of 4, 6 and 9 respectively is
(1) 17 (2) 2 (3) 85 (4) 34
55. If 10 men or 18 boys can do a work in 15 days, then the number of days required by 15 men and 33 boys to do twice the work is
(1) 9 (2) 36
(3) 4 1
2 (4) 8
56. The value of 13723
× 14583
is (1) 106 (2) 136 (3) 116 (4) 126
57. The base of a triangle is 2 cm more than twice its altitude. If the area is 12 sq. cm, its altitude will be
(1) 4 cm (2) 3 cm (3) 6 cm (4) 5 cm
58. A man leaves Rs. 12,600 to be divided among 7 sons, 3 daughters and 5 nephews. If each daughter receives three times as much as each nephew and each son seven times as much as each nephew, then each daughter’s share is
(1) Rs. 600 (2) Rs. 750 (3) Rs. 700 (4) Rs. 650
59. By selling an article for Rs. 21,000 a man gains 5%. To get a profit of 15%, he has to sell it for
(1) Rs. 23,000 (2) Rs. 25,000 (3) Rs. 19,800 (4) Rs. 20,700
60. The salary of an employee increases every year in the month of July by 10%. If his salary in May 2000 was Rs. 15,000 .his salary in October 2001 was
(1) Rs. 18,150 (2) Rs. 19,965 (3) Rs. 16,500 (4) Rs. 18,000
61. If the volume and the surface area of a sphere are numerically equal, then the numerical value of the radius of the sphere is
(1) 3 (2) 4 (3) 1 (4) 2
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62. Minimum value of 𝑥2 +1
𝑥2+1− 3 is
(1) 0 (2) -1 (3) -3 (4) -2
63. If (3x – y) : (x + 5y) = 5 : 7, then the value of (x + y) : (x – y) is
(1) 2 : 3 (2) 3 : 2 (3) 3 : 1 (4) 1 : 3
64. In ABC, B = 600, C = 40
0. If AD bisects BAC and AE
BC, then EAD is (1) 10
0 (2) 20
0
(3) 400 (4) 80
0
65. If the numerical value of the volume of a right circular cylinder and its curved surface area are equal, then its radius is
(1) 3 units (2) 6 units (3) 2 units (4) 4 units
66. If in ABC, A = 900, BC = a, AC = b and AB = c, then the
value of tan B + tan C is
(1) 𝑐2
𝑎𝑏 (2)
𝑎2+𝑐2
𝑏
(3) 𝑏2
𝑎𝑐 (4)
𝑎2
𝑏𝑐
67. tan 70 tan 23
0 tan 60
0 tan 67
0 tan 83
0 is equal to
(1) 0 (2) 3
(3) 1
3 (4) 1
68. The value of (sec - cos ) (cosec - sin ) (tan + cot ) is
(1) 1 (2) 3
2
(3) 2 (4) 0
69. G is the centroid of ABC. If AG = BG, then BGC is (1) 90
0 (2) 30
0
(3) 600 (4) 120
0
70. In the following figure, if OA = 10 and AC = 16, then OB must be
(1) 5 (2) 6 (3) 3 (4) 4
Directions (71-75) : The pie chart given below shows the distribution of workforce by occupational category for country X in 1981 and 1995. Study the chart and answer the questions.
Total workforce 175 million
71. The increase in the number of Clerical workers in the
workforce of country X from 1981 to 1995 (in millions) is (1) 0.5 (2) 1.25 (3) 0.75 (4) 1.5
72. The percentage decrease in the number of Blue-Collar workers in the workforce of country X from 1981 to 1995 is
(1) 20 (2) 16 2
3
(3) 42 1
2 (4) 35
73. In 1981, the number of Service workers in the workforce, in millions, was
(1) 22.5 (2) 28.0 (3) 15.0 (4) 20.5
74. In 1981, the number of categories which comprised of more than 25 million workers each, is
(1) four (2) five (3) two (4) three
75. The ratio of the number of workers in the Professional category in 1981 to the number of such workers in 1995 is
(1) 9 : 14 (2) 14 : 9 (3) 4 : 9 (4) 5 : 14
English Language Directions (76-80) : In the following questions, some parts of the sentence have errors and some have none, Find out which part of a sentence has an error. The number of that part is your answer. If there is no error, your answer is (4) i.e., No error. 76. The concentration of human and material resources at a
few centres (1) / have resulted in (2) / large scale migration of rural population to urban areas. (3) / No error (4)
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77. Who would’nt be triumphant (1) / in their success (2) / at the examination? (3) / No error (4)
78. I dared (1) / Mohan fights (2) / a duel. (3) / No error (4) 79. All of you except Sheena (1) / have done the homework
(2) / properly. (3) / No error (4) 80. The summit began (1) / on a much voiced (2) / optimism
note. (3) / No error (4) Directions (81-85) : In the following questions, sentences are given with blanks to be filled in with an appropriate word (s). Four alternatives are suggested for each question. Choose the correct alternative out of the four. 81. Many modern methods of agriculture .... thousands of
years ago. (1) sprang (2) started (3) began (4) originated
82. He is utterly ..... at the end of the day. (1) worn away (2) worn on (3) worn through (4) worn out
83. People should refrain ..... evil deeds. (1) from doing (2) doing (3) to do (4) in doing
84. A rare audio tape released by the court at the end of the hearing showed many judges asking .....They should intervene at all.
(1) if only (2) only if (3) weather (4) whether
85. Rita ...... her home work yet. (1) has not done (2) will not do (3) does not do (4) did not do
Directions (86-87) : In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word,. 86. Periphery
(1) circle (2) boundary (3) edge (4) terminus
87. Exquisite (1) exact (2) wonderful (3) quizzical (4) exciting
Directions (88-89) : In the following questions, choose the word opposite in meaning to the given word. 88. Nibble
(1) swallow (2) munch (3) devour (4) consume
89. Hindrance (1) assistance (2) authorization (3) approval (4) approbation
Directions (90-92) : In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. 90. Ravi wants to blaze a trail in his activities.
(1) be supported (2) be the centre of attraction (3) initiate work and be a pioneer (4) blow the trumpet
91. She took a wrong decision by not marrying this gentleman. She doesn’t know that beauty is only skin deep.
(1) physical charm is important
(2) internal beauty is not important (3) physical touch is not important (4) physical beauty is not important
92. The officials played ducks and drakes with the public money.
(1) spent (2) preserved (3) collected (4) squandered
Directions (93-95) : In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. 93. A study of words and the way words develop.
(1) Phraseology (2) Phonography (3) Philology (4) Phonology
94. A list of books. (1) Catalogue (2) Index (3) Anthology (4) Glossary
95. Something unusual or strange, having peculiar notions. (1) Whimsical (2) Aggressive (3) Dramatic (4) Reasonable
Directions (96-100) : In the following questions, a part of the sentence is printed in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (4). 96. He won’t hear you provided you shout.
(1) in case (2) as long as (3) unless (4) No improvement
97. The ship is at the anchor and the sailors are now at ease. (1) at the anchor (2) at its anchor (3) at anchor (4) No improvement
98. They objected to the plan on the grounds that it was too expensive.
(1) declined (2) disagreed (3) refused (4) No improvement
99. Very little rice was found in the pot after all the guests had eaten.
(1) remained (2) was cooked (3) stored (4) No improvement
100. The policeman captured the first car that approached and ordered the driver to take the injured child to the hospital.
(1) commandeered (2) interrupted (3) caught (4) No improvement
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ANSWER SHEET
1.4 2.1 3.1 4.3 5.4 6.2 7.4
8.1 9.4 10.2 11.3 12.3 13.4 14.2
15.4 16.4 17.4 18.1 19.4 20.4 21.1
22.3 23.4 24.1 25.4 26.4 27.3 28.4
29.1 30.2 31.4 32.3 33.4 34.3 35.2
36.3 37.1 38.1 39.3 40.2 41.2 42.3
43.4 44.3 45.4 46.3 47.4 48.1 49.3
50.3 51.1 52.1 53.3 54.1 55.1 56.4
57.2 58.1 59.1 60.1 61.1 62.4 63.3
64.1 65.3 66.4 67.2 68.1 69.4 70.2
71.4 72.2 73.1 74.4 75.1 76.2 77.2
78.2 79.4 80.3 81.4 82.4 83.1 84.1
85.1 86.3 87.2 88.3 89.1 90.3 91.4
92.4 93.3 94.1 95.1 96.3 97.3 98.4
99.1 100.1
Practice Set – 1
Hints & Solution
1. SKIT ⇒TIKS (Reverse order of letters)
Similarly, PALF ⇒ FLAP.
2. (6)2 = 36, (9)2 = 81.
3. 384 ⇒ 84
3= 28; 2 + 8 = 10; 128 ⇒ 1 + 2 + 8 = 11 =
10 + 1, Similarly, 16
2= 8; 6 + 3 = 9 = 8 + 1.
4. Asthma affects lungs. Similarly, Conjunctivitis affects eyes.
5. Thermometer is used to measure temperature. Similarly,
Glucometer is used to measure blood sugar.
6. Except the number 7586, all other are odd numbers.
7. Except ‘I’ all other are Consonants. Letter ‘I’ is a Vowel.
8. Reed is a type of tall grass with a hollow stem growing near
water. Pit is a large and deep hole. Tap is a small projecting
piece of cloth, metal, paper etc. Hold means to keep or
support. Except in Reed, in all other words, there is only one
Vowel.
9. Z(-4)→V(-4)→R(-4)→N(-4)→J(-4)→F
A(+2)→C(+2)→E(+2)→G(+2)→I(+2)→K.
10. (2)2 = 4, (4)2 = 16, (6)2 = 36, (8)2 = 64, (10)2 = 100.
11. 12 + 11 = 23, 23 + 11 = 34, 34 + 11 = 45, 45 + 11 =
56, 56 + 11 = 67,67 + 11 = 78, 78 + 11 = 89.
12. A(+1)→B(+5)→G(+1)→H
C(+1)→D(+5)→I(+1)→J
E(+1)→F(+5)→K(+1)L
13. D(+4)→H(+5)→M(+6)→S
E(+4)→I(+5)→N(+6)→T
F(+4)→J(+5)→O(+6)→U
14. 2 + 0 + 1 + 5 = 8; 8 × 3 = 24, 6 + 4 + 1 + 3 = 14; 14 ×
3 = 42, 1 + 1 + 2 + 8 = 12; 12 × 3 = 36.
15.
Required distance = AE = AD +DE = (10 + 2) km=12 km.
16.
17. Option (a) 24 = 4 > 5 × 17 + 13 ⇒ 24 ÷ 4 + 5 = 17 −
13 ⇒ 6 + 5 ≠ 4 Option b 24 > 4 + 5 × 17 + 13 ⇒ 24 +
4 − 5 = 17 − 13 ⇒ 23 ≠ 4, option c 24 = 4 > 5 × 17 >
13 ⇒ 24 ÷ 4 + 5 = 17 + 13 ⇒ 6 + 5 ≠ 30.
18. First row 5 × 7 + 4 = 35 + 4 = 39 Second row 6 × 9 + 5 =
54 + 5 = 59 Third row 7 × 11+? = 83 ⇒? = 83 − 77 = 6.
19. First column 8 ÷ 2 = 4 𝑎𝑛𝑑 8 − 4 = 4 second column
16 ÷ 8 = 2 and 5 − 3 = 2 Third column 10 ÷ 5 = 2 and
11 − 9 = 2.
20. First row 15 − 8 = 7 and 7 × 2 = 14, Second row 23 −
13 = 9 and 9 × 2 = 18, Third row 41 − 25 = 16 and 16 ×
2 = 32.
21. Do yourself.
22. Do yourself.
23. Some hockey players may be poet and vice-versa. Rubber ball
is different from the two.
24.
Squares are: ABCD, DEFG, HIJK, LMNO, HPDT, TDSK, PIWD,
DWJS, LQDU, UDRO, QMVD, DVNR.
25. Only conclusion II follows. It is mentioned clearly that
parental role in the education is very significant.
51. Let marked price of the book be Rs. x and C.P. Rs. y. 90x
100=
y×108
100⇒
y
x=
90
108= 5: 6.
52. Amount received by B = 5
2× 100 = Rs. 250.
53. (2.1)2 × 0.0441 = 2.1 × 2.1 × 0.21 = 0.9261.
54. Required number = HCF of 140 − 4 = 136; 176 − 6 =
170; 𝑎𝑛𝑑 264 − 9 = 255 = 17.
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55. 10 men = 18 boys, 15 men = 27 boys
15 men + 33 boys = 27+33= 60 boys.
M1D1
W1=
M2D2
W2⇒
18×15
1=
60×D2
2,
D2 = 18×15×2
60= 9 days.
56. 13723
× 14583
= 1372 × 14583
=
2 × 2 × 7 × 7 × 7 × 2 × 9 × 9 × 93
= 2 × 7 × 9 = 126.
57. If the altitude be x cm. then 1
2× 2x + 2 x = 12 ⇒
x + 1 x = 12 ⇒ X2 + x − 12 = 0 ⇒ X2 + 4x − 3x − 12 =
0 ⇒ x x + 4 − 3 x + 4 = 0 ⇒ x = 3 because x ≠ −4.
58. Amount to each nephew = Rs. x. amount to each daughter =
Rs. 3x. Amount to each son = 7x , 7 × 7𝑥 + 3 × 3𝑥 + 5𝑥 =
12600 ⇒ 49𝑥 + 9𝑥 + 5𝑥 = 12600 ⇒ 63𝑥 = 12600 ⇒ 𝑥 =
12600 ÷ 63 ⇒ 𝑥 = 200.
Amount to each daughter = 200 × 3 =Rs. 600.
59. C.P. of article = 100
105× 21000 = Rs. 20000 , S. P. for 15% profit = 20000 ×
115
100= Rs. 23000.
60. Required salary = 15000(1 +10
100)2 = 15000 ×
11
10×
11
10=
𝑅𝑠. 18150.
61. Volume of sphere = curved surface of sphere ⇒ 4
3𝜋𝑟3 =
4𝜋𝑟2 ⇒ 𝑟 = 3 𝑢𝑛𝑖𝑡𝑠.
62. x2 ≥ 0, Minimum value = 0+1
1− 3 = −2.
63. 3x−y
x+5y=
5
7⇒ 21x − 7y = 5x + 25y ⇒ 21x − 5x = 25y +
7y ⇒ 16x = 32y ⇒x
y=
32
16=
2
1⇒
x+y
x−y=
2+1
2−1= 3: 1.
[ By componendo and dividendo].
64.
B=60°; C=40°, A=180°-100°=80° ,BAD=DAC=40°
From ∆ABE, BAE = 180°-60°-90°=30°, EAD= 40°-30°=10°.
65. πR2h = 2πRh ⇒ R = 2 units.
66.
tan B=AC
AB=
b
c; tan C=
AB
AC=
c
b, tan B + tan C =
b
c+
c
b=
b2+c2bc=a2bc.
67. tan 7°. tan 23°.tan 60°tan 67°.tan 83°
=tan 7°.tan 83°. tan 23°. tan 67°. tan 60°
=tan 7°. tan (90°-7°). tan 23°. tan (90°-23°). tan 60°
=tan 7°.cot 7°.tan 23°. cot 23°.tan 60°=1. 3 = 3.
[tan (90°-𝚹)=cot 𝚹. tan 𝚹cot 𝚹=1].
68. (sec 𝚹 - cos 𝚹)(cosec 𝚹 –sin 𝚹)(tan 𝚹+cot 𝚹)=(1
cos θ−
cosθ)(1
sin θ−
sin θ) sin θ
cos θ+
cos θ
sin θ =
1−cos 2θ
cos θ
1−sin 2θ
sin θ
sin 2θ+cos 2θ
sin θ.cos θ =
sin 2θ
cos θ.
cos 2θ
sin θ
1
sin θ.cos θ = 1.
69.
AG=BG=GC AGB=AGC=BGC=120°.
70.
AB=BC=8 , OA=10
OB= OA2 − AB2 = 102 − 82 = 36 = 6.
71. Number of clerical workers in 1981 = 150×20
100= 30 million,
Number of clerical workers in 1995 = 175×18
100= 31.5 million
Difference =31.5 – 30 = 1.5 million.
72. Number of blue-collar workers in 1981 = 150×28
100=
42 million,
Number of blue − collar workers in 1991 =175×20
100=
35 million
Percentage decrease = 42−35
42× 100 =
50
3= 16
2
3.
73. Service workers in 1981= 150×15
100= 22.5 million.
74. 150×x
100= 25 ⇒ x =
25×100
150= 16
2
3%. Required answer = blue-
collar, professional and clerical workers.
75. Required Ratio = 150×18
100:
175×24
100= 6 × 3: 7 × 4 = 9 × 14.
76. Here, subject (The concentration) is singular. Hence, singular
verb i.e., has resulted in ….. should be used.
77. Here, at/over ,his/their success ….. should be used.
78. Here, Mohan fight (infinitive without to )… should be used.
80. Here, optimistic (Adjective) note …..Should be used.
82. Phrase wear yourself/somebody out means: to make
yourself/somebody feel very tired.
86. The word Periphery (Noun) means: the outer edge of a
particular area.
Look at the sentence: Industries have been established on
the periphery of the town.
87. The word Exquisite (Adjective) means: extremely beautiful or
carefully made: acute, delicate and sensitive; wonderful.
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88. The word Nibble (Verb) means: to make small bites of
something. The word Devour (Verb) means: to eat all of
something quickly, engulf: to destroy.
89. The word Hindrance (Noun) means: the act of making it more
difficult for somebody to something. Its antonym should be
assistance which means: help or support.
90. Idiom blaze a trail means: to be the first to do or discover
something that others follow.
92. Idiom play ducks and drakes means: squander; to waste
money, time etc. in a stupid or carless way.
PRACTICE SET-2 General Intelligence & Reasoning
Directions (1-5) : In each of the following questions, select the related letters/words/number from the given alternatives. 1. 8 : 12 : : 6 : ?
(1) 8 (2) 11 (3) 5 (4) 7
2. Eagle : Swoops : : Duck : ? (1) Waddles (2) Floats (3) Swims (4) Flits
3. Fire : Smoke : : ? (1) Children : School (2) Cloud : Rain (3) Moon : Sky (4) Shoe : Polish
4. APPLE : 50 : : ORANGE : ? (1) 60 (2) 69 (3) 61 (4) 63
5. TSH : IRQ : : QPK : ? (1) LNO (2) LON (3) PWK (4) PON
Directions (6-8) : In each of the following questions, find the odd number/letters/word/ number pair from the given alternatives. 6. (1) SP (2) NL (3) ZW (4) TQ 7. (1) Major (2) Colonel (3) Brigadier (4) Admiral 8. (1) (132, 5) (2) (125, 8) (3) (124, 7) (4) (112, 4) Directions (9-11) : In each of the following questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 9. YX, UTS, ONML, ?
(1) FEDCB (2) CFEDC (3) IHGFE (4) HGFED
10. AZ, CX, EV, ? (1) HT (2) HU (3) GS (4) GT
11. Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
....C....bd....cbcda....a....db...a (1) daabbc (2) bdbcba (3) adabcd (4) cdbbca
Directionss (12-13) : In each of the following questions, identify the wrong number in the series.
12. 9, 19, 40, 83, 170, 340 (1) 83 (2) 40 (3) 340 (4) 170
13. 5, 13, 29, 61, 120, 253 (1) 120 (2) 253 (3) 61 (4) 29
14. Some relationships have been expressed through symbols which are explained below:
= greater than
= not equal to
= not less than
= equal to
= not greater than
= less than
a b c implies
(1) a b c (2) a b + c
(3) a b + c (4) a b c 15. If PEAR is written as GFDN, how is REAP written in this
code? (1) FDNG (2) NFDG (3) DNGF (4) NDFG
16. If L denotes , M denotes , P denotes +, Q denotes – then 16 P 24 M 8 Q 6 M 2 L 3 = ?
(1) 10 (2) 9 (3) 12 (4) 11
17. If FLATTER is coded as 7238859 and MOTHER is coded as 468159, then how is MAMMOTH coded?
(1) 4344681 (2) 4344651 (3) 4146481 (4) 4346481
Directions (18-19) : In each of the following questions, select the missing number from the given responses. 18.
(1) 20 (2) 25 (3) 10 (4) 15
19.
10 11 15
12 12 8
4 12 10
10 5 13
18 20 ?
(1) 21 (2) 20 (3) 23 (4) 22
20. Satish starts from A and walks 2 km East upto B and turns Southwards and walks 1 km upto C. At C he turns to East and walks 2 km upto D. He then turns Northwards and walks 4 km to E. How far is he from his starting point?
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(1) 5 km (2) 6 km (3) 3 km (4) 4 km
Directions (21) : In each of the following questions, one/two statements are given, followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follow from the given statement. 21. Statements : Temple is a place of worship.
Church is also a place of worship Conclusions : I. Hindus and Christians use the same place for worship. II. All churches are temples.
(1) Neither conclusion I nor II follows (2) Both conclusion I and II follows (3) Only conclusion I follows (4) Only conclusion II follows
22. In the following letter series, how many times do PQR occur in such away that Q is in the middle of P and R. Q M P N P Q R R O P Q N O P P Q R P M Q R O P Q R P P R R P Q R P
(1) 5 (2) 6 (3) 4 (4) 3
23. A sheet of paper has been folded as shown by the question figures. You have to figure out from amongst the four answer figures how it will appear when opened? Question Figures :
Answer figures :
(1) (2)
(3) (4) 24. Which of the answer figure is exactly the mirror-image of
the question figure if a mirror is placed on the line MN? Questions Figure
Answer Figures :
(1) (2)
(3) (4) 25. From the answer figures, select the one in which the
question figure is hidden/embedded. Question Figure :
Answer Figure :
(1) (2)
(3) (4)
General Awareness
26. The National Commission for Minorities was constituted in the year
(1) 1990 (2) 1992 (3) 1980 (4) 1989
27. The first Indian who was chosen as the Secretary General of Common-wealth is
(1) Rakesh Verma (2) Gopalaswami (3) Krishna Murthy (4) Kamalesh Sharma
28. Socialism succeeds in achieving (1) higher standard of living of the people (2) equal distribution of income in the society (3) higher individual welfare in the society (4) maximum social welfare in the society
29. Economic planning is an essential feature of (1) socialist economy (2) capitalist economy (3) mixed economy (4) dual economy
30. Which of the following criteria is not used for the classification of human races?
(1) Nose (2) Hair (3) Eyes (4) Ear
31. Railway coaches are manufactured at (1) Jamshedpur (2) Chittaranjan (3) Perambur (4) Varanasi
32. Fertilization occurs normally in the (1) cervix (2) vagina (3) fallopian tube (4) uterus
33. The organisms at the base of the grazing food-chain are (1) carnivores (2) decomposers (3) producers (4) herbivores
34. Who among the following was credited with the destruction of ‘Chihalgani’, a group of powerful nobles?
(1) Balban (2) Qutb-ud-din Aibak (3) Iltutmish (4) Razia Sultan
35. The Maratha Saint who was a contemporary of Shivaji (1) Saint Eknath (2) Saint Tukaram (3) Saint Dhyaneshwar (4) Namdev
36. The study of lake is called (1) Topology (2) Hydrology (3) Limnology (4) Potomolgy
37. ‘Lumen’ is the unit of (1) Illuminance (2) Brightness (3) Luminous intensity (4) computer ports
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38. Which of the following items is not used in Local Area Networks (LANs)?
(1) Interface Card (2) Cable (3) Computer (4) Modem
39. Vitamin A is rich in (1) carrot (2) lime (3) beans (4) rice
40. Which of the following determines the chemical properties of an element?
(1) Number of electrons (2) Number of neutrons (3) Number of protons (4) All of the above
41. The Central Drug Research Institute of India is located at (1) Chennai (2) Lucknow (3) Delhi (4) Bangalore
42. Which one of the following forces is a ‘dissipative force’? (1) Electrostatic force (2) Magnetic force (3) Gravitational force (4) Frictional force
43. How many spokes are there in the Dharmachakra of the National Flag?
(1) 14 (2) 18 (3) 22 (4) 24
44. The latest official language of the U.N. is (1) Russian (2) Arabic (3) Chinese (4) Spanish
45. The book ‘Kurukshetra to Kargil’ is written by (1) Suryanath Singh (2) Kunal Bhardwaj (3) Karan Singh (4) Kuldip Singh
46. The sweet taste of fruits is due to (1) Lactose (2) Fructose (3) Maltose (4) Ribose
47. ‘Analects’ is the sacred book of (1) Confucianism (2) Judaism (3) Shintoism (4) Taoism
48. What would be the impact of global warming on mangrove forests?
(1) They will grow more luxurious (2) Large areas of mangroves will be submerged (3) Their role as carbon sinks will become more important (4) Both (1) and (3) above
49. the seat of Madhya Pradesh High Court is located at (1) Gwalior (2) Indore (3) Bhopal (4) Jabalpur
50. The brightest planet is (1) Venus (2) Mercury (3) Jupiter (4) Mars
Quantitative Aptitude
51. P and Q are two points observed from the top of a
building 10 3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is
(1) 25 m (2) 45 m (3) 30 m (4) 40 m
52. the least value of 2 sin2 + 3 cos
2 is
(1) 3 (2) 5
(3) 1 (4) 2 53. A, O, B are three points on a line segment and C is a point
not lying on AOB. If AOC = 400 and OX, OY are the
internal and external bisectors of AOC respectively,
then BOY is (1) 70
0 (2) 80
0
(3) 720 (4) 68
0
54. If 4x = sec and 4
𝑥 = tan , then 8 𝑥2 −
1
𝑥2 is
(1) 1
16 (2)
1
8
(3) 1
2 (4)
1
4
55. If x sin3 + y cos
3 = sin cos and x sin = y cos , sin
0. cos 0, then x2 + y
2 is
(1) 1
2 (2)
1
2
(3) 1 (4) 2
56. The side BC of ABC is produced to D. If ACD = 1080
and B = 1
2 A, then A is
(1) 360 (2) 72
0
(3) 1080 (4) 59
0
57. Two tangents are drawn from a point P to a circle at A
and B .O is the centre of the circle. If AOP = 600, then
APB is (1) 120
0 (2) 90
0
(3) 600 (4) 30
0
58. The angle formed by the hour-hand and the minute-hand of a clock at 2 : 15 p.m. is
(1) 27 1°
2 (2) 45
0
(3) 22 1°
2 (4) 30
0
59. If x = (0.08)2, y =
1
(0.08)2 and z = (1-0.08)2 – 1, then out of
the following, the true relation is (1) y < x and x = z (2) x < y and x = z (3) y < z < x (4) z < x < y
60. If 𝑥4 +1
𝑥4 = 23 , then the value of 𝑥 −1
𝑥
2
will be
(1) 7 (2) -7 (3) -3 (4) 3
61. If 𝑥 +1
𝑥= 3 , the value of 𝑥5 +
1
𝑥5 is
(1) 123 (2) 126 (3) 113 (4) 129
62. In ABC, AD is the median and AD = 1
2 BC. If BAD = 30
0,
then measure of ACB is (1) 90
0 (2) 45
0
(3) 300 (4) 60
0
63. 3 −3+ 5
4−
1
3+ 5 is equal to
(1) 0 (2) 3
2
(3) 5
2 (4) 5
64. If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of x is
(1) 52 (2) 53 (3) 50 (4) 51
65. The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.
(1) Rs. 3,068 (2) Rs. 3,088
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(3) Rs. 3,175 (4) Rs. 3,168 66. A discount of 30% on the marked price of a toy reduces
its selling price by Rs. 30. What is the new selling price (in Rs)?
(1) 70 (2) 21 (3) 130 (4) 100
67. Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in
(1) 6 hours (2) 3 1
2 hours
(3) 4 hours (4) 2 1
2 hours
68. If Rs. 5,000 becomes Rs. 5,700 in a year’s time, what will Rs. 7,000 become at the end of 5 years at the same rate of simple interest?
(1) Rs. 10,500 (2) Rs. 11,900 (3) Rs. 12,700 (4) Rs. 7,700
69. The number nearest to 75070 which is divisible by 65, is (1) 75070 (2) 75075 (3) 75010 (4) 75065
70. A farmer divides his herd of n cows among his four sons, so that the first son gets one-half the herd, the second
one-fourth, the third son 1
5 and the fourth son 7 cows.
Then the value of n is (1) 240 (2) 100 (3) 180 (4) 140
Directions (71-75) : The graph shows Income and Expenditure of a company. Study the graph and answer the questions.
71. The expenditure from 2002 to 2003 increased by
(1) 33 1
3% (2) 40%
(3) 10% (4) 20% 72. The income in 2002 was equal to the expenditure in the
year (1) 2003 (2) 2004 (3) 2000 (4) 2001
73. The profit was maximum in the year (1) 2003 (2) 2004 (3) 2001 (4) 2002
74. The difference in profit between 2001 and 2002 is (1) Rs. 25 lakh (2) No difference (3) Rs. 10 lakh (4) Rs. 20 lakh
75. The number of years in which the income exceed the average income is
(1) three (2) four (3) one (4) two
English Language
Directions (76-80) : In the following questions, some parts of the sentences have errors and some have none. Find out which part of a sentence has an error. If a sentence is free from error, then your answer is (4) i.e., No error. 76. You do not (1) / look as (2) / your brother. (3) / No error
(4) 77. My elder brother (1) / is six (2) / foot high. (3) / No error
(4) 78. Without no proof of your guilt (1) / the only course open
to me (2) / is to dismiss the case. (3) / No error (4) 79. As we see it, (1) / she appears to be unreasonable (2) /
anxious about pleasing her husband. (3) / No error (4) 80. The scissor is (1) / lying on (2) / the table. (3) / No error
(4) Directions (81-82) : In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word as your answer. 81. Nexus
(1) connection (2) distance (3) deficit (4) difference
82. Hyperbole (1) expansion (2) imitation (3) decoration (4) exaggeration
Directions (83-84) : In the following questions, choose the word opposite in meaning to the given word as your answer. 83. Amalgamate
(1) separate (2) combine (3) assimilate (4) integrate
84. Influx (1) reflex (2) deflection (3) effluent (4) exodus
Directions (85-87) : In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase as your answer. 85. Ram is very calculative and always has an axe to grind.
(1) has no result (2) works for both sides (3) has a private agenda (4) fails to arouse interest
86. On the issue of marriage, Sarita put her foot down. (1) stood up (2) was firm (3) got down (4) walked fast
87. There is no gainsaying the fact that the country is in difficulties.
(1) ignoring (2) hiding (3) forgetting (4) denying
Directions (88-90) : In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. 88. Someone able to use both hands with equal skill.
(1) Ambivalent (2) Amphibious (3) Ambiguous (4) Ambidextrous
89. Cure for all diseases. (1) Curable (2) Panacea (3) Incurable (4) Curative
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90. Speaking without preparation. (1) Deliberate (2) Fluent (3) Loquacious (4) Extempore
Directions (91-95) : In the following questions. a part of the sentence is printed in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4). 91. Sordid and sensational books tend to vitiate the public
taste. (1) divide (2) distract (3) distort (4) No improvement
92. By studying AIDS has engaged many researchers in the last decade.
(1) Important study (2) Now that the study (3) The study of (4) No improvement
93. His Master’s thesis was highly estimated and is now being prepared for publication.
(1) was highly discussed. (2) was highly commended. (3) is highly appraised. (4) No improvement
94. No sooner had she realized her blunder than she began to take corrective measures.
(1) then she began to take (2) then she began taking (3) when she began to take (4) No improvement
95. A good scholar must be precise and possess originality. (1) must be precise and original. (2) must be possess precision and original. (3) must be precision and possess originality. (4) No improvement
Directions (96-100) : In the following questions, you have two brief passages with 5 questions following each passage. Read the passage carefully and choose the best answer to each question out of the four alternatives.
Passage-1 Two years later, in November 1895, he signed his final will. He left the bulk of his fortune, amounting to about £ 1,75,000 to a trust fund administered by Swedish and Norwegian trustees. The annual interest shall be awarded as prizes to those persons who during the previous year have rendered the greatest services to mankind. The interest shall be divided into five equal parts – now amounting to about £ 8,000 each – one of which shall be awarded to the person who has made the most important discovery or invention in the realm of physics, one to the person who has made the most important chemical discovery or improvement, one to the person who has made the most important physiological or medical discovery, one to the person who has produced the most outstanding work of literature, idealistic in character and one to the person who has done the best work for the brotherhood of nations, the abolition or reduction of standing armies, as well as for the formation or popularization of peace congress.
96. The said prize is awarded
(1) once in 5 years (2) every year (3) once in 4 years (4) once in 2 years
97. Which is the prize that is referred to in the passage? (1) Noble Prize (2) Magsaysay Award (3) Pulitzer Prize (4) Booker Prize
98. The number of prizes in the field of science are (1) four (2) one (3) three (4) five
99. Total annual price money amounts to (1) £ 8,000 (2) £ 1,750,000 (3) £ 350,000 (4) £ 40,000
100. Prize is awarded for outstanding work in (1) Chemistry (2) Literature (3) Physics (4) All of these
ANSWER SHEET
1.1 2.1 3.2 4.1 5.2 6.2 7.4
8.4 9.2 10.4 11.3 12.3 13.1 14.1
15.2 16.1 17.1 18.4 19.3 20.1 21.1
22.3 23.2 24.4 25.4 26.2 27.4 28.2
29.1 30.4 31.3 32.3 33.3 34.1 35.2
36.3 37.3 38.3 39.1 40.1 41.2 42.4
43.4 44.2 45.4 46.2 47.1 48.4 49.4
50.1 51.3 52.4 53.1 54.3 55.3 56.2
57.3 58.3 59.4 60.4 61.1 62.4 63.2
64.1 65.4 66.1 67.4 68.2 69.2 70.4
71.1 72.1 73.2 74.3 75.1 76.2 77.3
78.1 79.2 80.1 81.1 82.4 83.1 84.4
85.3 86.2 87.4 88.4 89.2 90.4 91.2
92.3 93.2 94.4 95.1 96.2 97.1 98.3
99.1 100.4
Practice Set-2
Hints & Solution 1. The relationship is 𝑥: 2𝑥 − 4
8 × 2 − 4 = 16 − 4 = 12, Similarly, 6 × 2 − 4 = 12 − 4 = 8.
2. Eagle swoops down on anything. The movement of eagle is
like swooping. Similarly, the movement of duck is called
waddle.
3. Fire causes smoke. Smoke comes out when something is
burnt in fire. Similarly, cloud causes rain.
4. APPLE = 1+16+16+12+5 = 50
5. T (-2) R, S (-2) Q, H (+1) I
6. S(-3)P, N(-2)L, Z(-3)W, T(-3)Q.
7. Major, Colonel and Brigadier are different ranks in the Indian
Army. Admiral is the topmost rank in the Indian Navy.
8. 112 is completely divisible by 4. 112
4= 28,
132
5= 26.4,
125
8=
15.625 and 124
7= 17.71.
9. Y (-1) X,X (-3) U, U(-1)T, T(-1)S, S(-4)O,O(-1)N,N(-1)M……..
10. A(+2)→C(+2)→E(+2)→G.
Z(-2)→X(-2)→V(-2)→T
11. a c d b/ d a c b / c d a b / a c d b / d a
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12. 9 × 2 + 1 = 18 + 1 = 19,
19 × 2 + 2 = 38 + 2 = 40,
40 × 2 + 3 = 80 + 3 = 83,
83 × 2 + 4 = 166 + 4 = 170,
170 × 2 + 5 = 340 + 5 = 𝟑𝟒𝟓.
13. 5 + 8 = 13, 13 + 16 = 29, 29 + 32 = 61, 61 + 64 =
𝟏𝟐𝟓, 125 + 128 = 253.
14. Do yourself.
15. P→G, E→F, A→D, R→N Therefore, R→N, E→F, A→D, P→G.
16. ----- 16P24M8Q6M2L3=? ⇒ ?=16+24÷8 -6÷2×3⇒ ?=16+3-
3×3⇒ ?=16+3-9=10.
17. F→7,L→2, A→3, T→8, T→8, E→5, R→9
M→4, O→6, T→8, H→1, E→5, R→9,
Therefore, M→4, A→3, M→4, M→4, O→6, T→8, H→1
18. The product of two numbers in a sector is equal to the central
number in the previous sector.3 × 5 = 15, 8 × 3 = 24, 7 ×
2 = 14, 5 × 3 = 15, 8 × 4 = 32, 9 × 1 = 9, 9 × 2 = 18, 7 ×
4 = 28.
19. First column 10 + 12 + 4 + 10 = 36,36
2= 18 =
18 lowermost number
𝐒𝐞𝐜𝐨𝐧𝐝 𝐜𝐨𝐥𝐮𝐦𝐧 11 + 12 + 12 + 5 = 40,40
2= 20
𝐓𝐡𝐢𝐫𝐝 𝐜𝐨𝐥𝐮𝐦𝐧 15 + 8 + 10 + 13 = 46,46
2= 23.
20.
Required distance (AE) = (AF)2 + (EF)2 = (4)2 + (3)2 =
16 + 9 = 25 = 5 km.
21. Temple and Church are places of worship. It does not imply
that Hindus and Christians use the same place for worship.
Church is different temple. Therefore, neither Conclusion I
nor II follows.
22. QMPN PQR ROPQNOP PQR MQRO PQR PPRR PQR P
25. Do yourself.
26. The Union Government set up the National Commission for
Minorities (NCM) under the National commission for
Minorities Act, 1992.
27. Mr. Kamalesh Sharma, an Indian diplomat, became
Commonweatlth Secretary-General on 1 April, 2008. He was
appointed to the post by Commonwealth Heads of
Government at their meeting in Kampala, Uganda, in
November 2007.
28. Socialism is an economic system characterized by social
ownership and/or control of the means of production and
cooperative management of the economy.
29. Economic planning is an essential feature of socialism. The
most prominent example of a planned economy was the
economic system of the Soviet Union.
30. Ear is not used as criteria for racial classification.
31. Passenger coaches are manufactured at three principal
places: Integral Coach Factory (ICF) at Perambur, Railway
Coach Factory (RCF) at Kapurthala, and Bharat Earth Movers
Ltd, (BEML) at Bangalore.
32. This process usually occurs in the upper third of the fallopian
tube of the woman.
33. The food webs we see are grazing food chains since at their
base are producers which the herbivores then graze on.
34. Chihalgani was the group of most important and powerful
forty nobles or highly placed officers in the court of Iltutmish.
Balban destroyed their clout.
35. Shivaji, the great Maratha King and founder of a nationalist
tradition was contemporary of Tukaram.
36. The study of lakes and other freshwater basins is known as
limnology.
37. The lumen is the SI derived unit of luminous flux, a measure
of the total “amount” of visible light emitted by a source.
38. Interface Card, Ethernet Cable and Routers are used in setting
up a LAN. The Router can be plugged directly into the modem
via an Ethernet cable and all other computers are eventually
connected in some fashion to the route. In terms of LAN, a
computer cannot be said to be an item which constitutes this
network.
39. Carrot is rich in Vitamin-A and it improves eyesight.
40. Valence electrons are important in determining how an
element reacts chemically with other elements. Since the
valence electrons are the electrons in the highest energy
level, they are the most exposed of all the electrons, so they
are the electrons that get most involved in chemical
reactions.
41. Inaugurated in 1951 by the Prime Minister of India. Jawahar
Lal Nehru, CDRI is located at Lucknow.
42. A dissipative force counteracts motion. Its direction is
opposite to the direction of the velocity vector. Dynamic
friction is a dissipative (non-conservative) force: it dissipates
energy (mainly through heat and sound), and energy lost by
moving in one direction.
43. The spokes in the Ashok Chakra represent 24 States as 24
were the number of States at that time.
44. In 1980, the General Assembly made Arabic an official and
working language of all its committees and subcommittees.
45. The author is Brigadier (Retired) Kuldip Singh.
46. Fructose, or fruit sugar, is a simple monosaccharide found in
many plants. It is one of the three dietary monosaccharide,
along with glucose and galactose, which is absorbed directly
into the blood-stream during digestion.
47. The Analects, also known as the Analects of Confucius; is the
collection of sayings and ideas attributed to the Chinese
philosopher Confucius and his contemporaries, traditionally
believed to have been written by Confucius followers.
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48. Global warming may promote expansion of mangrove forests
to higher latitudes, Elevated CO2 concentration may increase
mangrove growth by stimulating photosynthesis or improving
water use efficiency. Mangrove wetlands are possible
sinks/sources for carbon dioxide and other related
greenhouse gases.
49. The Court was established in Nagpur, but after the
reorganization of States on 1 November, 1956, it was moved
to Jabalpur.
50. Venus is very bright. That’s partly because sunlight is easily
reflected by acidic clouds that blanket the planet’s
atmosphere.
51.
AB= Building = 10 3 metre , PQ = 20 metre , BQ =
x metre let If APB = θ, then, AQB = 90° −
θ, From ∆ABP, tan θ =AB
BP=
103X+20……..1 From ∆ABQ,
tan90°−θ=ABBQ⇒cotθ=103x……..2By multiplying both
equations,tanθ.cotθ=103x+20×103x⇒x2+20x=10×10×3
⇒x2+20x−300=0⇒xx+30−10x+30=0⇒x−10x+30=0⇒x
=10, x≠−30 ,BP=10+20=30 metre.
52. 2sin2θ + 3cos2θ = 2sin2θ + 2cos2θ + cos2θ =
2 sin2θ + cos2θ + cos2θ = 2 + cos2θ , Least value = 2 +
0 = 2 cos2θ ≥ 0 .
53.
OY is the bisector of AOC, AOC = 2 COX ,
OX is the bisector of BOC , BOC = 2 COY,
AOC + BOC = 2 COY +2 COX = 180°
⇒2(COX+YOC)=180°
⇒XOY = 90° AOX +XOY + BOY = 180°,
BOY = 180°-90°-20°=70°.
54. 4𝑥 = sec θ ⇒ x =sec θ
4 Again,
4
x= tan θ ⇒
1
x=
tan θ
4, 8 x2 −
1x2=8sec2θ16−tan2θ16=816sec2θ−tan2θ=12.
55. xsin3θ + ycos3θ = sin θ. cos θ ⇒ (x sin θ). sin2θ +
(x sin θ). cos2θ = sin θ. cos θ ⇒ xsin θ. (sin2θ + cos2θ) =
sin θ. cos θ ⇒ x = cos θ , xsin θ = y cos θ ⇒ cos θ. sin θ =
ycos θ ⇒ y = sin θ, x2 + y2 = sin2θ + cos2θ = 1.
56.
ACD = ABC + BAC⇒108°=A
2+ A ⇒
3A
2= 108° ⇒
A =108×2
3=72°.
57.
In right ∆s OAP and OPB
AP=PB, OA = OB, OP = OP, ∆OAP ≅ ∆OPB,
AOP = POB and APO = OPB
From ∆AOP,APO = 180° − 90° − 60° = 30°.
APB = 2 × 30° = 60°.
58. Angle traced by hours hand in an hours = 30°
Angle traced in 21
4i. e.
9
4hours =
9
4× 30° =
135°
2
Angle traced by minute hand in 60 minutes = 360°
Angle traced in 15 minutes = 360°
60× 15 = 90°
Required angle = 90°-135°
2=
45
2= 22
1
2°.
59. 𝑥 = 0.08 2, 𝑦 =1
0.08 2 =10000
64= 156.25 ,
𝑧 = (1 − 0.08)2 − 1 = 1 + (0.08)2 − 2 × 0.08 − 1
= (0.08)2 − 2 × 0.08 clearly, z < 𝑥 < 𝑦.
60. 𝑥4 +1
𝑥4 = 23 ⇒ (𝑥2 +1
𝑥2)2 − 2 = 23 ⇒ (𝑥2 +1
𝑥2)2 = 23 +
2 = 25 , 𝑥2 +1
𝑥2 = 5, . (𝑥 −1
𝑥)2 = 𝑥2 +
1
𝑥2 − 2 = 5 − 2 = 3.
61. 𝑥 +1
𝑥= 3 on Squaring, x +
1
x
2
= 9 ⇒ 𝑥2 +1
𝑥2 = 9 − 2 =
7 Again, (x +1
x)3 = 27 ⇒ x3 +
1
x3 + 3 x +1
x = 27 ⇒ x3 +
1
x3 = 27 − 3 × 3 = 18
x2 +1
x2 x3 +1
x3 ⇒ x5 +1
x5 + x +1
x = 126 ⇒ x5 +
1
x5 =
126 − 3 = 123.
62.
BD= DC =AD , BAD = 30° From ∆ABD, BAD = 30°
ABD= BAD= 30°, ADB = 180°-2×30°=120°, ADC = 180°-
120°=60° ,AD = DC ⇒ DAC = ACD = 60°.
63. 1
3+ 5=
3− 5
3+ 5 3− 5 =
3− 5
9−5=
3− 5
4 ,
3 −3+ 5
4−
3− 5
4=
12−3− 5−3+ 5
4=
6
4=
3
2.
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64. 39 + 48 + 51 + 63 + 75 + 83 + 𝑥 + 69 = 60 × 8 ⇒ 428 +
𝑥 = 480 ⇒ 𝑥 = 480 − 428 = 52.
65. If the weight of a piece of diamond be 6x unit, then Original
price 6x 2 = 36kx2 , 36kx2 = 5184
Again New price = k(x2 + 4x2 + 9x2) = 14kx2 =14×5184
36=
Rs. 2016. Loss = 5184 − 2016 = Rs. 3168.
66. 30%=Rs. 30, 100% = Rs. 100, New S.P = 100-30= Rs. 70.
67. Part of the tank filled by both pipes in two hours =
2(1
8+
1
6) = 2
3+4
24 =
7
12 , Remaining part = 1 −
7
12=
5
12 .Time taken by B in filling the remaining part =
5
12× 6 =
5
2= 2
1
2hours.
68. Interest = 5700-5000=Rs. 700. Rate = 700×100
5000 ×1= 14%
Case II, Interest = Principal ×Time ×Rate
100=
7000 ×5×14
100=
Rs. 4900. Amount = 7000 + 4900 = Rs. 11900.
69. 75070÷65, R=60, Required number = 75070+(65-60)=75070.
70. According to the question, n
2+
n
4+
n
5+ 7 = n ⇒
10n+5n+4n
20+ 7 = n ⇒
19n
20+ 7 = n ⇒
n −19n
20= 7 ⇒
n
20= 7 ⇒ n = 20 × 7 = 140.
71. Required percentage increases = 40−30
30× 100 =
100
3=
331
3%.
72. Income of company in 2002 = Rs. 40 lakh
Expenditure of company in 2003 = Rs. 40 lakh.
73. Profit of company in 2004 = Rs. 25 lakh.
74. Required difference = 20-10= Rs. 10 lakh.
75. Average income of company = 30+50+40+60+60
5=
240
5=
Rs. 48 lakh. The incomes of company in years 2001, 2003 and
2004 were greater than Rs, 48 lakh.
76. Here, look like …..should be used. Like is an Adjective which is
used as Preposition.
77. Here, foot tall …. should be used.
78. Here, with no proof of your guilt/without any proof of your
guilt ….. should be used.
79. Here, she appears to be unreasonably (Adverb) …. should be
used because an adverb modifies an Adjective.
80. Here, the scissors are …. should be used.
Look at the sentences: My scissors are sharp.
A pair of scissors has been purchased.
Look at some inseparables: scissors, Shears, trousers.
81. The word Nexus (Noun) means: a complicated series of
connections.
Look at the sentence: There is a strong nexus between a
criminal and corrupt police.
82. The word Hyperbole (Noun) means: a way of speaking or
writing that makes something sound better, more exciting
than it really is; exaggeration. Hence, its antonym should be
faulty.
83. The word Amalgamate (Verb) means: merge; to put two or
more things together so that they form one; assimilate.
Look at the sentence: the company has now amalgamated
with another local firm.
Its antonym should be separate which means: to divide into
different parts or groups: to move apart.
84. The word Influx (Noun) means: the fact of a lot of people,
money or things arriving somewhere. The word Exodus
(Noun) means: a situation in which many people leave a place
at the same time.
85. Idiom have an axe to grind means: to have private reasons
for being involved in something or for arguing for a particular
cause.
86. Idiom put your foot down means: to be very strict in
opposing what somebody wishes to do , to drive faster.
87. Idiom Gainsay (verb) means: to disagree; to deny.
PRACTICE SET-3 General Intelligence & Reasoning
1. A group of friends are sitting in an arrangement one each
at the corner of an octagon. All are facing the centre. Mahima is sitting diagonally opposite Rama, who is on Sushma’s right. Ravi is next to Sushma and opposite Girdhar, who is on Chandra’s left. Savitri is not on Mahima’s right but opposite Shalini. Who is on Shalini’s right? (1) Ravi (2) Mahima (3) Girdhar (4) Rama
Directions (2-6) : In each of the following questions, select the related word/letters/number from the given alternatives. 2. Fox : Cunning : : Rabbit : ?
(1) Courageous (2) Dangerous (3) Timid (4) Ferocious
3. AZCX : BYDW : : HQJO : ? (1) GRFP (2) IPKM (3) IPKN (4) GRJP
4. 𝐴𝐵𝐶
𝐹∶
𝐵𝐶𝐷
𝐼∶ :
𝐶𝐷𝐸
𝐿∶ ?
(1) 𝐷𝐸𝐹
𝑂 (2)
𝐷𝐸𝐹
𝑁
(3) 𝐸𝐷𝐹
𝑂 (4)
𝐷𝐸𝐹
𝑀
5. 24 : 126 : : 48 : ? (1) 433 (2) 192 (3) 240 (4) 344
6. 987 : IHG : : 654 : ? (1) FDE (2) FED (3) EFD (4) DEF
Directions (7-9) : In each of the following questions, find the odd word/letters/number from the given responses. 7. (1) Mouth Organ (2) Electric Guitar
(3) Keyboard (4) Sonata 8. (1) RNMP (2) JFEH
(3) RPOQ (4) HDCF 9. (1) 6243 (2) 2643
(3) 8465 (4) 4867 10. From amongst the given alternatives, select the one in
which the set of numbers is most like the set of numbers given below : (6, 14, 30)
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(1) 4, 16, 28 (2) 7, 12, 22 (3) 6, 12, 22 (4) 5, 12, 20
11. Arrange the following words according to the dictionary : (A) TORTOISE (B) TORONTO (C) TORPED (D) TORUS (E) TORSEL
(1) B, E, C, A, D (2) B, E, C, D, A (3) B, C, E, A, D (4) B, C, E, D, A
12. Which set of letters when sequentially placed at the gaps in the given letter series shall complete it?
_a_aaaba_ _ba_ab_ (1) abaaaa (2) abaaba (3) aababa (4) ababaa
Directions (13-15) : In each of the following questions, find the missing number/letters from the given responses. 13. a, r, c, s, e, t, g, _, _
(1) x, z (2) u, i (3) w, y (4) v, b
14. 0, 4, 18, 48, ?, 180 (1) 58 (2) 68 (3) 84 (4) 100
15. 36, 28, 24, 22, ? (1) 18 (2) 19 (3) 21 (4) 22
16. If the day after tomorrow is Sunday, what day was tomorrow’s day before yesterday?
(1) Friday (2) Thursday (3) Monday (4) Tuesday
17. X and Y are brothers. R is the father of Y. S is the brother of T and maternal uncle of X. What is T to R?
(1) Mother (2) Wife (3) Sister (4) Brother
18. A word/set of letters given in capital letters is followed by four answer words. Out of these only one cannot be formed by using the letters of the given word/set of letters. Find out the word :
INDETERMINATE (1) DETERMINE (2) RETINUE (3) REMINDER (4) RETINA
19. One statement is given followed by two assumptions, I and II. You have to consider the statement to be true, even if, it seems to be at variance from commonly known facts. You are to decide which of the given assumptions can definitely be drawn from the given statement. Indicate your answer. Statement : All the people of Kerala are literate. Assumption I : People of Kerala are well educated and cultured. Assumption II : People of Kerala are hard-working and sincere.
(1) Only I is implicit. (2) Only II is implicit. (3) Both I and II are implicit. (4) Neither I nor II is implicit.
20. If 841 = 3, 633 = 5, 425 = 7 then 217 = ? (1) 6 (2) 7 (3) 8 (4) 9
21. 25 * 2 * 6 = 4 * 11 * 0 Which set of symbols can replace * ?
(1) , -, , + (2) +, -, , +
(3) , +, , - (4) , +, +,
22. Find the missing number from the given responses.
5 6 12
4 3 4
2 3 ?
18 27 96
(1) 4 (2) 5 (3) 3 (4) 6
23. Peter walked 8 km West and turned right and walked 3 km. Then again he turned right and walked 12 km. How far is he from the starting point?
(1) 7 (2) 8 (3) 4 (4) 5
24. Choose the correct figure that represents the given relation : Blue-eyed, females, doctors
(1) (2)
(3) (4) 25. How many triangles are there in the following figure?
(1) 20 (2) 24 (3) 28 (4) 32
General Awareness
26. The first non-stop air-conditioned ‘DURANTO’ train was flagged off between
(1) Sealdah-New Delhi (2) Mumbai-Howrah (3) Bangalore-Howrah (4) Chennai-New Delhi
27. Which one of the following States does not form part of Narmada River basin?
(1) Madhya Pradesh (2) Rajasthan (3) Gujarat (4) Maharashtra
28. The exchange of commodities between two countries is referred as
(1) Balance of trade (2) Bilateral trade (3) Volume of trade (4) Multilateral trade
29. Soil erosion on hill slopes can be checked by (1) Afforestation (2) Terrace cultivation (3) Strip cropping (4) Contour ploughing
30. Which of the following is called the “ecological hot spot of India”?
(1) Western Ghats (2) Eastern Ghats (3) Western Himalayas (4) Eastern Himalayas
31. The monk who influenced Ashoka to embrace Buddhism was
(1) Vishnu Gupta (2) Upa Gupta (3) Brahma Gupta (4) Brihadratha
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32. The Lodi dynasty was founded by (1) Ibrahim Lodi (2) Sikandar Lodi (3) Bahlol Lodi (4) Khizr Khan
33. Which Governor-General is associated with Doctrine of Lapse?
(1) Lord Ripon (2) Lord Dalhousie (3) Lord Bentinck (4) Lord Curzon
34. Marx belonged to (1) Germany (2) Holland (3) France (4) Britain
35. The Speaker of the Lok-Sabha has to address his/her letter of resignation to
(1) Prime Minister of India (2) President of India (3) Deputy Speaker of Lok Sabha (4) Minister of parliamentary Affairs
36. The terms “Micro Economics” and “Macro Economics” were coined by
(1) Alfred Marshall (2) Ragner Nurkse (3) Ragner Frisch (4) J.M. Keynes
37. “Economics is what it ought to be”-This statement refers to
(1) Normative economics (2) Positive economics (3) Monetary economics (4) Fiscal economics
38. Tetra ethyle lead (TEL) is (1) a catalyst in burning fossil fuel (2) an antioxidant (3) a reductant (4) an antiknock compound
39. Curie point is the temperature at which (1) matter becomes radioactive (2) a metal loses magnetic properties (3) a metal loses conductivity (4) transmutation of metal occurs
40. Which of the following is not a nucleon? (1) proton (2) Neutron (3) Electron (4) Positron
41. The material used in the manufacture of lead pencil is (1) Graphite (2) Lead (3) Carbon (4) Mica
42. Processor’s speed of a computer is measured in (1) BPS (2) MIPS (3) Baud (4) Hertz
43. ‘C’ language is a (1) low level language (2) high level language (3) machine level language (4) assembly level language
44. If all bullets could not be removed from gun shot injury of a man, it may cause poisoning by
(1) Mercury (2) Lead (3) Iron (4) Arsenic
45. Pituitary gland is situated in (1) the base of the heart (2) the base of the brain (3) the neck (4) the abdomen
46. Who discovered cement?
(1) Agassit (2) Albertus Magnus (3) Joseph Aspdin (4) Janseen
47. TRIPS and TRIMS are the terms associated with (1) IMF (2) WTO (3) IBRD (4) IDA
48. A Presidential Ordinance can remain in force (1) for three months (2) for six months (3) for nine months (4) indefinitely
49. NIS stands for (1) National Infectious diseases Seminar (2) National Irrigation Schedule (3) National Immunisation Schedule (4) National Information Sector
50. Harshvardhana was defeated by (1) Prabhakaravardhana (2) Pulakesin II (3) Narasimhasvarma Pallava (4) Sasanka
Quantitative Aptitude
51. In how many years will a sum of Rs. 800 at 10% per annum compound interest, compounded semi-annually becomes Rs. 926.10?
(1) 11
2 (2) 1
2
3
(3) 21
3 (4) 2
1
2
52. In a 10 m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 kmph, then the speed of Bimal is
(1) 15.4 kmph (2) 14.5 kmph (3) 14.4 kmph (4) 14 kmph
53. A boatman rows 1 km in 5 minutes along the stream and 6 km in 1 hour against the stream. The speed of the stream is
(1) 3 kmph (2) 6 kmph (3) 10 kmph (4) 12 kmph
54. A can complete 1
3 of a work in 5 days and B,
2
5 of the work
in 10 days. In how many days both A and B together can complete the work?
(1) 10 (2) 93
8
(3) 84
5 (4) 7
1
2
55. One pipe fills a water tank three times faster than another pipe. If the two pipes together can fill the empty tank in 36 minutes, then how much time will the slower pipe alone take to fill the tank?
(1) 1 hour 21 minutes (2) 1 hour 48 minutes (3) 2 hours (4) 2 hour 24 minutes
56. The average of odd numbers upto 100 is (1) 50.5 (2) 50 (3) 49.5 (4) 49
57. (12 + 2
2 + 3
2 + ... + 10
2) is equal to
(1) 380 (2) 385 (3) 390 (4) 392
58. 1 −1
3 1 −
1
4 1 −
1
5 … . 1 −
1
25 is equal to
(1) 2
25 (2)
1
25
(3) 119
25 (4)
1
325
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59. A number, when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be
(1) 9 (2) 7 (3) 3 (4) 2
60. If 2p + 1
𝑃 = 4 the value of p
3 +
1
8𝑃3 is
(1) 4 (2) 5 (3) 8 (4) 15
61. 3.25 ×3.20−3.20 ×3.05
0.064 is equal to
(1) 1 (2) 1
2
(3) 1
10 (4) 10
62. The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is
(1) 36 (2) 48 (3) 72 (4) 96
63. If ‘n’ be any natural number, then by which largest number (n
3 – n) is always divisible?
(1) 3 (2) 6 (3) 12 (4) 18
64. If there is a profit of 20% on the cost price of an article, the percentage of profit calculated on its selling price will be
(1) 24 (2) 162
3
(3) 81
3 (4) 20
65. If the cost price of 15 books is equal to the selling price of 20 books, the loss per cent is
(1) 16 (2) 20 (3) 24 (4) 25
66. If on marked price, the difference of selling price with a discount of 30% and two successive discounts of 20% and 10% is Rs. 72, then the marked price (in rupees) is
(1) 3,600 (2) 3,000 (3) 2,500 (4) 2,400
67. Successive discounts of 10%, 20% and 30% is equivalent to a single discount of
(1) 60% (2) 49.6% (3) 40.5% (4) 36%
68. If each side of a square is increased by 10%, Its area will be increased by
(1) 10% (2) 21% (3) 44% (4) 100%
69. The ratio of income and expenditure of a person is 11 : 10. If he saves Rs. 9,000 per annum, his monthly income is
(1) Rs. 8,000 (2) Rs. 8,800 (3) Rs. 8,500 (4) Rs. 8,250
70. If W1 : W2 = 2 : 3 and W1 : W3 = 1 : 2 then W2 : W3 is (1) 3 : 4 (2) 4 : 3 (3) 2 : 3 (4) 4 : 5
71. A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is
(1) 2.5 (2) 3 (3) 3.5 (4) 4
72. The ratio of the radii of two wheels is 3 : 4. The ratio of their circumferences is
(1) 4 : 3 (2) 3 : 4 (3) 2 : 3 (4) 3 : 2
Directions (73-75) : The pie-chart, given here, shows the amount of money spent on various sports by a school administration in a particular year .
73. If the money spent on Football was Rs. 9,000, how much
more money was spent on Hockey than on Football? (1) Rs. 11,000 (2) Rs. 11,500 (3) Rs. 12,000 (4) Rs. 12,500
74. If the money spent on Football was Rs. 9,000, what amount was spent on Cricket?
(1) Rs. 31,000 (2) Rs. 31,500 (3) Rs. 32,000 (4) Rs. 32,500
75. If the money spent on Football is Rs. 9,000 then what was the total amount spent on all sports?
(1) Rs. 73,000 (2) Rs. 72,800 (3) Rs. 72,500 (4) Rs. 72,000
English Language
Directions (76-80) : In the following questions, a part of the sentence is printed in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4). 76. To get into the building I’ll disguise as a reporter.
(1) disguise to be (2) disguise as one (3) disguise myself (4) No improvement
77. He denied that he had not forged my signature. (1) would not forge (2) had forged (3) did not forge (4) No improvement
78. If I had played well, I would have won the match. (1) I played well (2) I play well (3) I am playing well (4) No improvement
79. Since the records are missing, the possibility of paying more than one compensation for the same piece of land cannot be ruled aside.
(1) out (2) off (3) away (4) No improvement
80. A callous system generates nothing but a misanthrope. (1) develops (2) induces (3) produces (4) No improvement
Directions (81-82) : In the following questions, choose the word opposite n meaning to the given word. 81. JETTISON
(1) accept (2) reward (3) preserve (4) consent
82. DEVIOUS (1) straight (2) obvious (3) simple (4) superficial
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Directions (83-84) : In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. 83. OSTRACISE
(1) banish (2) belittle (3) beguile (4) besiege
84. CODDLE (1) huddle (2) satisfy (3) protect (4) cheat
Directions (85-86) : In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. 85. One who hides away on a ship to obtain a free passage.
(1) Compositor (2) Stoker (3) Stowaway (4) Shipwright
86. An emolument over and above fixed income or salary. (1) Honorarium (2) Sinecure (3) Perquisite (4) Prerogative
Directions (87-88) : In the following questions, groups of four words are given. In each group, one word is correctly spelt. Find the correctly spelt word. 87. (1) parapharnelia (2) parasimonious
(3) peccadilo (4) peadiatrics 88. (1) tussel (2) tunnle
(3) tumble (4) trable Directions (89-90) : In the following questions, sentences are given with blanks to be filled in with and appropriate words(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four. 89. The court .... cognisance of the criminal’s words.
(1) took (2) made (3) gave (4) allowed
90. Everyone in this world is accountable to God .... his actions.
(1) about (2) for (3) to (4) over
Directions (91-95) : In the following questions, you have one brief passage with 5 questions following the passage. Read the passage carefully and choose the best answer to each question out of the four alternatives. In May 1966, the World health Organization was authorised to initiate a global campaign to eradicate small-pox. The goal was to eradicate the disease in one decade. Because similar projects for malaria and yellow fever had failed, few believed that smallpox could actually be eradicated, but eleven years after the initial organization of the campaign, no cases were reported in the field. The strategy was not only to provide mass vaccinations, but also to isolate patients with active small-pox in order to contain the spread of the disease and to break the chain of human transmission. Rewards for reporting small-pox assisted in motivating the public to aid health workers. One by one, each small-pox victim was sought out, removed from contact with others and treated. At the same time, the entire, village where the victim had lived was vaccinated. Today small-pox is no longer a threat to humanity. Routine vaccinations have been stopped worldwide. 91. Which of the following is the best title for the passage?
(1) The World Health Organization
(2) The Eradication of Small-pox (3) Small-pox Vaccinations (4) Infectious Diseases
92. What was the goal of the campaign against small-pox? (1) To decrease the spread of small-pox worldwide. (2) To eliminate small-pox world-wide in ten years. (3) To provide mass vaccinations against small-pox worldwide. (4) To initiate worldwide projects for small-pox, malaria and yellow fever at the same time.
93. According to the paragraph, what was the strategy used to eliminate the spread of small-pox?
(1) Vaccination of the entire village (2) Treatment of individual victims (3) Isolation of victims and mass vaccinations (4) Extensive reporting of outbreaks
94. Which statement doesn’t refer to small-pox? (1) Previous projects had failed. (2) People are no longer vaccinated for it. (3) The World health Organization mounted a worldwide campaign to eradicate the disease. (4) It was a serious threat.
95. It can be inferred that (1) no new cases of small-pox have been reported this year. (2) malaria and yellow fever have been eliminated. (3) small-pox victims no longer die when they contract the disease. (4) small-pox is not transmitted from one person to another.
Directions (96-100) : Some of the sentences have errors and some have none. Find out which part of a sentence has an error. The number of that part is your answer. If there is no error, your answer is (4). 96. Judge in him (1) / prevailed upon the father (2) / and he
sentenced his son to death. (3) / No error (4) 97. Nine-tenths (1) / of the pillar (2) / have rotted away. (3) /
No error (4) 98. One major reason (1) / for the popularity of television is
(2) / that most people like to stay at home. (3) / No error (4)
99. Our efforts are (1) / aimed to bring about (2) / reconciliation. (3) / No error (4)
100. Three conditions (1) / critical for growing (2) / plants are soil, temperature, chemical balance or amount of moisture. (3) / No error (4)
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ANSWER SHEET
1.1 2.3 3.3 4.1 5.4 6.2 7.4
8.3 9.4 10.2 11.3 12.1 13.2 14.4
15.3 16.2 17.2 18.2 19.4 20.4 21.1
22.4 23.4 24.4 25.3 26.1 27.2 28.3
29.2 30.1 31.2 32.3 33.2 34.1 35.3
36.4 37.1 38.4 39.2 40.4 41.1 42.2
43.2 44.4 45.2 46.3 47.2 48.2 49.4
50.2 51.1 52.3 53.1 54.2 55.4 56.2
57.2 58.1 59.4 60.2 61.4 62.2 63.2
64.2 65.4 66.1 67.2 68.2 69.4 70.1
71.2 72.2 73.1 74.3 75.4 76.3 77.2
78.4 79.1 80.3 81.1 82.1 83.1 84.2
85.3 86.1 87.2 88.3 89.1 90.2 91.2
92.2 93.3 94.1 95.3 96.1 97.2 98.3
99.2 100.3
Practice Set – 3
Hints & Solution 1.
Ravi is to the right of Shalini.
2. Here, animal – behaviour relationship has been shown. Fox is
characterized by its cunningness. Similarly, rabbit is
considered as timid.
3. A(+1)→B, Z(-1)→Y, C(+1)→D, X(-1)→W Similarly H(+1)→I,
Q(-1)→P, J(+1)→K, O(-1)→N.
4. ABC(F)(+3)→BCD(I)::CDE(L)(+3)→DEF(O).
5. 52 − 1 = 24; 53 + 1 = 126; 72 − 1 = 48; 73 + 1 = 344.
6. 987 (IHG), 654 (FED)
7. Except Sonata, all other are instruments. Sonata is a piece of
music composed for one instrument or two.
8. R(-4)→N(-1)→M(+3)→P,
J(-4)→F(-1)→E(+3)→H,
R(-2)→P(-1)→O(+2)→Q,
H(-4)→D(-1)→C(+3)→F,
9. 6 + 2 = 8; 4 + 3 = 7 ⇒ 8 − 7 = 1
2 + 6 = 8; 4 + 3 = 7 ⇒ 8 − 7 = 1
8 + 4 = 12; 6 + 5 = 11 ⇒ 12 − 11 = 1
4 + 8 = 12; 6 + 7 = 13 ⇒ 12 − 13 = −1
10. 6 + 8 = 14; 14 + 8 × 2 = 30
7 + 5 = 12; 12 + 5 × 2 = 22
11. Arrangement of words according to Dictionary:
(B)Toronto→(C)Torped→(E)Torsel→(A)Tortoise
→(D)Torus
12. a a b a / a a b a / a a b a / a a b a .
13. There are two alternating series.
a(+2)→c(+2)→e(+2)→g(+2)→i
r(+1)→s(+1)→t(+1)→u, Therefore, ? =ui.
14. +4,+14,+30,+52,+80
+10,+16,+22,+28
+6,+6,+6
15. 36(-8)→28(-4)→24(-2)→22(-1)→21.
16. The day after tomorrow is Sunday. Therefore, today is Friday.
The day on tomorrow’s day before yesterday = Friday -1
=Thursday.
17. R is father of X and Y. S is maternal uncle of X and Y.
considering the given options, it may be assumed that T is
Wife of R.
18. There is no ‘U’ letter in the given word.
19. Neither I nor II is implicit in the statement. Literate has very
general implication. So, it is not necessary that people of
Kerala are well educated and cultured.
20. 8
4= 2; 2 + 1 = 3,
6
3= 2; 2 + 3 = 5,
4
2= 2; 2 + 7 = 9.
21. 25 × 2 − 6 = 4 × 11 + 0 ⇒ 50 − 6 = 44 + 0 ⇒ 44 = 44.
22. 5 + 4 = 9 and 9 × 2 = 18, 6 + 3 = 9 and 9 × 3 = 27, 12 +
4 = 16 and ? = 96
16= 6.
23.
AE = (AD)2 + (DE)2 = (3)2 + (4)2 = 9 + 16 = 25 =
5 km.
24. Some blue-eyed may be females and vice-versa. Some
females may be doctors and vice-versa. Some blue-eyed may
be doctors and vice-versa. Some blue-eyed females may be
doctors.
25. The triangles are :
∆FEB ; ∆CBD; ∆FAG; ∆ FEG; ∆BCI; ∆CDI; ∆AFI; ∆EFI; ∆BGC;
∆DCG; ∆AGI; ∆BIH; ∆AGB; ∆ABI; ∆HAB; ∆HBI; ∆HGI;
∆HAG; ∆GEI; ∆GED; ∆IDE; ∆IDG; ∆JGI; ∆JDI; ∆ JGE; ∆JDE;
∆AIE; ∆BGD. (28 Triangles)
26. Sealdah-New Delhi
27. Rajasthan
28. Volume of trade
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29. Terrace cultivation
30. Western Ghats
31. Upa Gupta
32. Bahlol Lodi
33. Lord Dalhousie
34. Germany
35. Deputy Speaker of Lok Sabha
36. J.M. Keynes
37. Normative economics
38. an antiknock compound
39. A metal loses magnetic properties
40. Positron
41. Graphite
42. MIPS
43. High level language
44. Arsenic
45. The base of the brain
46. Joseph Aspdin
47. WTO
48. For six months.
49. National Information Sector
50. Pulakesin II
51.
52. Time taken by Kamal = 100
18×5
18
= 20 seconds
∴Time taken by Bimal = 20+5=25 seconds.
∴Bimal’s speed = 100
25= 4m/ sec =
4×18
5kmph = 14.4 kmph.
53.
54. Time taken by A Alone in doing the work = 15 days
Time taken by B alone in doing the work = 10×5
2=
25 days.∴ A + B ′s1 day′s work =1
15+
1
25=
5+3
75=
8
75
∴Hence, the work will be completed in 75
8= 9
3
8days.
55.
56.
57.
58.
59.
60. 2𝑝+1
𝑝= 4 ⇒ 𝑝+
1
2𝑝= 2, ∴ (𝑝+
1
2𝑝)3 = 𝑝3 +
1
8𝑝3 +
3. 𝑝.1
2𝑝 𝑝+
1
2𝑝 ⇒ 8 = 𝑝3 +
1
8𝑝3 +3
2× 2 ⇒ 𝑝3 +
1
8𝑝3 = 8 − 3 =
5
61. Expression = 3.20 (3.25−3.05)
0.064=
3.02×0.20
0.064= 10.
62. First number x Second number = HCF × LCM
84× second number = 12×336
∴Second number = 12×336
84= 48.
63. n3 − n = n n2 − 1 = n n + 1 n − 1
For n = 2, n3 − n = 6.
64.
65. If the cost price of each book be Rs. 1, then SP of 20 books =
Rs. 15. CP of 20 books = Rs. 20
Trick
Rate = 10% per annum; = 5% half yearly
𝐴 = 𝑃 1 +𝑅
100 𝑇
⇒ 926.10 = 800 1 +5
100 𝑇
⇒9261
8000=
21
20 𝑇
⇒
21
20
3
= 21
20
T
∴ Time = 3 half years = 11
2years.
[Rate downstream =1
5× 60 = 12 kmph]
Trick
Speed of current = 1
2 Rate downstream −
Rate upsream =1
2 12 − 6 kmph =
3 kmph
Trick If time taken by the pipe at faster rate to fill the tank
be x minutes, then = 1
x+
1
3x=
1
36⇒
3+1
3x=
1
36⇒ 3x =
4 × 36 ⇒ x = 48 minutes. Time taken by the slower pipe = 48 × 3 = 144 minutes =2
hours 24 minutes.
Trick
Average of the first n natural odd numbers = n
Number of odd numbers upto 100 = 50= required
average.
Trick
12 + 22 + 32 + 42+. . . +n2 =n n+1 (2n+1)
6, ∴ 12 +
22 + 32 + 42+. . . +102 =10 10+1 (20+1)
6= 385
Trick
1 −1
3 1 −
1
4 1 −
1
5 … 1 −
1
24 1 −
1
25 =
2
3×
3
4×
4
5. .×
23
24×
24
25=
2
25.
Trick
If the first divisor be a multiple of the second divisor,
then required remainder= remainder obtained by
dividing the first remainder (36) by the second
divisor (17)=2.
Trick
If the cost price = Rs. 100 then selling price =
Rs. 120 and gain = Rs. 20 Required gain %= 20
120× 100
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∴Loss percent = 20−15
20× 100 = 25%.
66. Let the marked price be Rs. x. In case I,
∴SP = Rs. 70x
100 .Single discount equivalent to successive
discounts of 20% and 10%. = 20 + 10 −20×10
100 % = 28%
∴S.P. in this case = Rs. 72x
100,
∴ 72x
100−
70x
100= Rs. 72 ⇒
2x
100= 72 ⇒ x =
72×100
2= Rs. 3600.
67.
68.
69. Let the income of man be Rs. 11x and his expenditure be Rs.
10x. ∴Savings = x =Rs. 9000.
∴Monthly income of man. = 11×9000
12= Rs. 8250.
70.
71. Volume of the wire =𝜋r2h = π × 0.1 × 0.1 × 3600 cm3 =
36πcm3 Volume of the sphere = 4
3πR3 = 36π ⇒ R3 =
36×3
4=
27,∴ R = 273
= 3 cm.
72.
73. ∴45°=Rs. 9000 ∴55°=9000
45°× 55° = Rs. 11000.
74. ∴45°=Rs. 9000 ∴160°=9000
45°× 160° = Rs. 32000.
75. ∴45°=Rs. 9000 ∴360°=9000
45°× 360° = Rs. 72000.
76. disguise myself
77. had forged
78. No improvement
79. out
80. Produces
81. The word Jettison (Verb) means: to throw something;
abandon; to reject an idea. Hence, the words Jettison and
accept are antonymous.
82. The word Devious (Adjective) means: behaving in a dishonest
way: a route that is not straight.
Hence, the words devious and straight are antonymous.
83. The word Ostracise (Verb) means: to refuse to let somebody
be a member of a social group; refuse; shun. Look at the
sentence: He was ostracized by his colleagues for refusing to
support the strike. Hence, the words banish and ostracise are
synonymous.
84. The word Coddle (Verb) mean: to treat somebody with too
much care and attention, pamper, cosset. Hence, the words
coddle and satisfy are synonymous.
85. Stowaway
86. Honorarium
87. Correct spellings of other words are: paraphernalia.
Peccadillo and paediatrics.
88. Correct spellings of other words are: tussle, tunnel and treble.
89. Idiom take cognizance of something means: to understand
or consider something; to take notice of something.
90. for
PRACTICE SET-4 General Intelligence & Reasoning
1. Which one is different from the rest three?
(1) Polar Bear (2) Penguin (3) Seal (4) Tiger
2. Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
_ab_b_bc_ca_ (1) accbb (2) abcca (3) cacab (4) abacb
Directions (3-5) : In each of the following questions, choose the correct alternative from the given ones that will complete the series. 3. (1) A, C, E (2) B, D, F
(3) G, I, K (4) ? (1) L, J, H (2) Z, Y, X (3) H, J, L (4) K, L, M
4. 30, 24, 19, 15, 12, ? (1) 6 (2) 8 (3) 10 (4) 11
5. 30, 28, 23, 21, ? (1) 15 (2) 16 (3) 18 (4) 20
6. If 10 boys build 10 km road in 10 days, then how many days it will take for 3 boys to build 10 km road? (1) 10 (2) 3/10 (3) 6/8 (4) 100/3
7. From the given alternatives, select the word which cannot be formed using the letters of the given word:
FRAGMENT (1) RAGE (2) TEAR (3) MEAN (4) RACE
8. If MARCH is coded as PXUZK what will be the code of APRIL?
Trick
Single equivalent discount for successive discounts
of 10% and 20%. = 10 + 20 −10×20
100 % =
28%. Single equivalent discount for 28% and 30%.
= 28 + 30 −28×30
100 % = 49.6%.
Trick
Increase percent in area = (10 + 10 +10×10
100)% =
21%.
Trick W1
W2=
2
3⇒
W2
W1=
3
2 and
W1
W3=
1
2 ,
∴ W2
W1×
W1
W3=
W2
W3=
3
2×
1
2=
3
4.
Trick
Ratio of the circumferences = Ratio of radii = 3:4.
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(1) DMUFO (2) DSULO (3) ZKIRO (4) ZKRIO
9. If A denotes +, B denotes – and C denotes , then (10 C 4) A (4 C 4) B 6 = ? (1) 46 (2) 50 (3) 55 (4) 58
Directions (10-12) : In each of the following equations, select the missing number from the given responses. 10.
5 4 3 8 9 4
20 9 24 11 ? 13
(1) 36 (2) 117 (3) 52 (4) 26
11.
9 30 21
6 ? 14
12 40 28
(1) 20 (2) 33 (3) 37 (4) 70
12.
28 4 25 5 ? 3
7 11 5 10 8 11
(1) 22 (2) 24 (3) 25 (4) 28
13. A student walked out from the Classroom towards the Library. She went first to the Canteen on the north side, 24 ft away. After a cup of tea, took a right turn and went to the Laboratory 13 ft away. She then went to the Physics Block, 15 ft to the left. She talked to a friend, in the garden 3 ft on the left and continued walking in the same direction, to the Library, 10 ft more. What was the actual distance between the Library and the Classroom?
(1) 42 ft (2) 65 ft (3) 39 ft (4) 34 ft
14. A husband and a wife had five married sons and each of them had four children. How many members are there in the family?
(1) 32 (2) 36 (3) 30 (4) 40
Directions (15-17) : In each of the following questions, select the related letter/word/number from the given alternatives. 15. India : Mango : : New Zealand : ?
(1) Apples (2) Kiwi (3) Grapes (4) Bananas
16. VZS : EAH : : ? : JFM (1) QSM (2) NUQ (3) QUN (4) QNU
17. 42 : 20 : : 64 : ? (1) 31 (2) 32
(3) 40 (4) 42 Directions (18-20) : In each of the following questions, find the odd number/letters/number pair from the given alternatives. 18. (1) Orange (2) Apple
(3) Lemon (4) Grapes 19. (1) 725 (2) 840
(3) 632 (4) 475 20. (1) 64 - 36 (2) 75 - 35
(3) 57 - 43 (4) 39 - 61 21. Which one of the given responses would be a meaningful
order of the following words? (1) Type (2) Print (3) Open (4) Save (5) Close (1) 3, 4, 1, 2, 5 (2) 3, 5, 4, 2, 1 (3) 3, 1, 4, 2, 5 (4) 3, 2, 1, 4, 5
22. How many rectangles are there in the given figure?
(1) 6 (2) 4 (3) 8 (4) 10
Directions (23) : In the following question, identify the diagram that best represents the relationship among classes given below. 23. Government Servants, Lecturers, Doctors
(1) (2)
(3) (4) 24. A piece of paper is folded and cut as shown below in the
question figures. From the given answer figures, indicate how it will appear when opened. Questions Figures :
Answers Figures :
(1) (2)
(3) (4) 25. Identify the alternative which resembles the mirror-
image of the given word. SECRETARY
(1) (2)
(3) (4)
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English Language
Directions (26-30) : In the following questions, some parts of the sentences have error and some are correct. Find out which part of a sentence has an error. The number of that part is your answer. If a sentence is free from error, your answer is (4) i.e., No error 26. The United Nations (1) / enquired for (2) / a cease fire.
(3) / No error (4) 27. Ghana, Nigeria and Gambia (1) / each have parts to play
(2) / in the development of Africa. (3) / No error (4) 28. In these days of inflation (1) / a ten rupees note will not
buy you (2) / even an ordinary meal. (3) / No error (4) 29. Most of my friends (1) / heard the earthquake (2) / but I
was totally unaware of it. (3) / No error (4) 30. He walks (1) / as if the earth (2) / belonged to him (3) /
No error (4) Directions (31-33) : In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. 31. The departmental store is open around the clock.
(1) at different timings (2) early morning (3) day and night (4) throughout the afternoon
32. Through the reporter’s efforts, many unknown facts have come to light.
(1) ignited (2) flared up (3) brightened (4) been revealed
33. The boy was in Dutch with his friends. (1) in love (2) in good terms (3) in awe (4) in trouble
Directions (34-36) : In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. 34. A person who drives our motor cars.
(1) Driver (2) Chauffeur (3) Conductor (4) Lift-operator
35. Short speech or poem given at the end of a play or a book.
(1) Epilogue (2) Epigram (3) Epitaph (4) Epicure
36. Lack of feeling (1) Empathy (2) Apathy (3) Sympathy (4) Pity
Directions (37-38) : In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word as your answer. 37. Jealous
(1) Interested (2) Hatred (3) Envied (4) Admired
38. Futility (1) Uselessness (2) Insignificance (3) Irrelevance (4) Unimportance
Directions (39-40) : In the following questions, choose the word opposite in meaning to the given word as your answer. 39. Prudent
(1) Dunce (2) Silly (3) Foolish (4) Careless
40. Turbulent (1) Harmony (2) Gusty (3) Calm (4) Windy
Directions (41-50) : In the following questions, in the following passage some of the words have been left out. Read the passage carefully and choose the correct answer to each question out of the four alternatives and fill in the blanks. The order day I visited a refugee ...(41)... where the victims ...(42)... the Gujarat. Earthquake ...(43)... in very ...(44)... conditions. I was particularly ...(45)... by an old woman who was determined to give ...(46)... grand-children a better future. She ...(47)... a strong and ...(48)... woman who even after the ...(49)... of her own children undertook such a journey through life and never felt weak or broken but was an ...(50)... for all. 41. (1) house (2) camp
(3) home (4) nest 42. (1) of (2) to
(3) in (4) at 43. (1) was living (2) are living
(3) were living (4) have lived 44. (1) apathetic (2) sympathetic
(3) pathetic (4) empathetic 45. (1) cornered (2) collected
(3) worked (4) moved 46. (1) his (2) her
(3) its (4) their 47. (1) were (2) had
(3) was (4) is 48. (1) courageous (2) continuous
(3) ruinous (4) careful 49. (1) life (2) death
(3) motionless (4) captivated 50. (1) happiness (2) determination
(3) motivation (4) inspiration
Quantitative Aptitude
51. A got twice as many marks in English as in Science. His total marks in English, Science and Mathematics is 180. If the ratio of his marks in English and Mathematics is 2 : 3, what is his marks in Science?
(1) 20 (2) 60 (3) 30 (4) 40
52. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family remains the same today. The age of the baby today is
(1) 3 years (2) 2 years (3) 1 years (4) 1.5 years
53. A shoe company sold 50 pairs of shoes on a day costing Rs. 189.50 each for Rs. 10,000. Then, the profit obtained in Rs. is
(1) 522 (2) 525 (3) 573 (4) 612
54. Subtracting x% of y from y means multiplying y by
(1) 𝑥
100 (2)
𝑥
100− 1
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(3) 1 −𝑥
100 (4) x 1 −
𝑥
100
55. In a village 30% of the population is literate. If the total population of the village is 6,600 then the number of illiterate is
(1) 1980 (2) 4620 (3) 2200 (4) 3280
56. Two trains start from stations A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is
(1) 1200 km (2) 1440 km (3) 1320 km (4) 990 km
57. Find the difference between the compound interest and the simple interest on Rs. 32,000 at 10% p.a. for 4 years.
(1) Rs. 2051.20 (2) Rs. 2052.50 (3) Rs. 2025.20 (4) Rs. 2501.20
58. If each edge of a square be doubled then the increase percentage in its area is
(1) 200% (2) 250% (3) 280% (4) 300%
59. A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is
(1) 2 cm (2) 3 cm (3) 4 cm (4) 6 cm
60. If a + b + c = 0, then the value of (a + b - c)2 + (b + c – a)
2 +
(c + a – b)2 is
(1) 0 (2) 8 abc (3) 4(a
2 + b
2 + c
2) (4) 4(ab + bc + ca)
61. If x = 2015, y = 2014 and z = 2013, then value of x2
+ y2 + z
2 – xy – yz - zx is
(1) 3 (2) 4 (3) 6 (4) 2
62. If x > 1 and x + 1
𝑥= 2
1
12, then the value of 𝑥4 −
1
𝑥4 is
(1) 58975
20736 (2)
59825
20736
(3) 578985
20736 (4)
57895
20736
63. AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. Length of OD (in cm) is
(1) 2 (2) 4 (3) 5 (4) 7
64. Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2
in A, B respectively. If BDC = 1200, then the value of
ABP is equal to (1) 60
0 (2) 80
0
(3) 1000 (4) 120
0
65. The distance between the centres of two circles with radii 9 cm and 16 cm is 25 cm. The length of the segment of the tangent between them is
(1) 24 cm (2) 25 cm
(3) 50
3 cm (4) 12 cm
66. If sin ( + 180) = cos 60
0 (0 < < 90
0), then the value of
cos 5 is
(1) 1
2 (2) 0
(3) 1
2 (4) 1
67. If tan = 3
4 , then the value of
4 𝑠𝑖𝑛 2𝜃−2 𝑐𝑜𝑠 2𝜃
4 𝑠𝑖𝑛 2𝜃+3 𝑐𝑜𝑠 2𝜃 is equal to
(1) 1
21 (2)
2
21
(3) 4
21 (4)
8
21
68. Let A, B, C, D be the angles of a quadrilateral. If they are concyclic, then the value of
cos A + cos B + cos C + cos D is (1) 0 (2) 1 (3) -1 (4) 2
69. If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is
(1) yz (2) 𝑥𝑧
𝑦
(3) 𝑥𝑦
𝑧 (4) xyz
70. If 12 men or 24 boys can do a work in 66 days, the number of days in which 15 men and 6 boys can do it, is
(1) 44 (2) 33 (3) 55 (4) 66
71. If diagonals of a rhombus are 24 cm and 32 cm, then perimeter of that rhombus is
(1) 80 cm (2) 84 cm (3) 76 cm (4) 72 cm
Directions (72-75) : The marks obtained by 273 examinees are shown by the frequency polygon, Given that mean marks is 59.5. Study the frequency polygon and answer the given questions.
72. The number of examinees getting more than average
marks is (1) 72 (2) 105 (3) 152 (4) 164
73. percentage of the students who get above 80% marks is (1) 9.81 (2) 10.53 (3) 11.28 (4) 11.72
74. Percentage of the students who got marks above 60% and below 80% is
(1) 43.95 (2) 48.39 (3) 51.06 (4) 56.84
75. If 40 is the pass marks, percentage of students failed is (1) 14.56 (2) 15.84 (3) 16.11 (4) 17.25
General Awareness
76. Which one of the following is the world’s largest desert? (1) Arabian (2) Kalahari (3) Sahara (4) Thar
77. The temperature increases rapidly above (1) Ionosphere (2) Exosphere (3) Stratosphere (4) Troposphere
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78. Which one of the following is not a photosynthetic pigment?
(1) Chlorophyll (2) Phycobilin (3) Carotenoid (4) Anthocyanin
79. Which of the following is a fibrous protein? (1) Haemoglobin (2) Albumin (3) Keratin (4) Enzymes
80. Carolus Linnaeus System of Classification is (1) Natural (2) Artificial (3) Binomial (4) Phylogenetic
81. The time between program input and output is called (1) Turn around time (2) Waiting time (3) Execution time (4) Delay time
82. The Indian National Grid Computing Initiative for Scientific Engineering and Academic Community is named
(1) Ganga (2) SAGA (3) Garuda (4) PARAM
83. Water has maximum density at (1) 100
0 C (2) 0
0 C
(3) 40
C (4) 2730
C 84. Human Rights Day is observed on
(1) 10th
March (2) 10th
July (3) 10
th September (4) 10
th December
85. Ajanta Caves were built during period of (1) Gupta (2) Kushana (3) Maurya (4) Chalukya
86. Who was the painter of the famous painting called ‘Bharat Mata’?
(1) Gaganendranath Tagore (2) Abanindranath Tagore (3) Nandalal Bose (4) Jamini Roy
87. “Take-off stage” in an economy means (1) Steady growth begins. (2) Economy is stagnant. (3) Economy is about to collapse. (4) All controls are removed.
88. The ‘Slack Season’ in the Indian Economy is (1) March-April (2) September-December (3) January-June (4) February-April
89. Which one of the Constitutional amendment has established Panchayati Raj Institution?
(1) 72nd
Amendment Act (2) 71
st Amendment Act
(3) 73rd
Amendment Act (4) 78
th Amendment Act
90. Which among the following States, first introduced the Panchayat Raj System?
(1) Rajasthan (2) Haryana (3) Uttar Pradesh (4) Maharashtra
91. Which Mughal Emperor transferred the Mughal Capital from Agra to Delhi?
(1) Jahangir (2) Aurangzeb (3) Shahjahan (4) Bahadur Shah
92. Who said, “A living thing is born” after the League of Nation’s Covenant was drafted?
(1) Lord Robert Cecil (2) Woodrow Wilson (3) Orlando (4) Neville Chamberlain
93. The author of ‘Arthashastra’ was a contemporary of
(1) Ashoka (2) Chandragupta Maurya (3) Samudragupta (4) Chandragupta Vikramaditya
94. The Taj-Mahal was built by (1) Jahangir (2) Shahjahan (3) Sher Shah (4) Nadir Shah
95. Which was the backbone of Indus Economy? (1) Agriculture (2) Trade (3) Wheel Made Pottery (4) Carpentry
96. Who discovered Cape of Good Hope in 1488? (1) Magellan (2) Columbus (3) Bartholomew Dias (4) Vasco da Gama
97. Sodium Carbonate is commonly known as (1) Baking Soda (2) Washing Soda (3) Caustic Soda (4) Caustic Potash
98. The Election commission is established under the (1) Article-355 (2) Article-256 (3) Article-324 (4) Article-320
99. Typhoid fever is caused by (1) Bacteria (2) Virus (3) Protozoa (4) Fungi
100. Which one of the following continents lies in Northern-Southern and Eastern-Western hemispheres of the earth?
(1) Australia (2) Africa (3) Europe (4) South America
ANSWER SHEET
1.4 2.3 3.3 4.3 5.2 6.4 7.4
8.1 9.2 10.1 11.1 12.2 13.3 14.1
15.2 16.3 17.4 18.2 19.3 20.1 21.3
22.3 23.4 24.4 25.4 26.2 27.2 28.2
29.2 30.4 31.3 32.4 33.4 34.2 35.1
36.2 37.3 38.1 39.4 40.3 41.2 42.1
43.3 44.3 45.1 46.2 47.3 48.1 49.2
50.4 51.3 52.2 53.2 54.3 55.2 56.3
57.1 58.4 59.2 60.3 61.1 62.1 63.3
64.1 65.1 66.1 67.1 68.1 69.3 70.1
71.1 72.3 73.4 74.1 75.3 76.3 77.2
78.4 79.3 80.3 81.1 82.3 83.3 84.4
85.1 86.2 87.1 88.3 89.3 90.1 91.3
92.2 93.2 94.2 95.1 96.3 97.2 98.3
99.1 100.2
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Practice Set -4
Hints & Solution 1. Except tiger, all others are region specific creatures.
2. c a b / a b c / b c a / c a b
3. A(+2)→C(+2)→E, B(+2)→D(+2)→F, G(+2)→I(+2)→K,
H(+2)→J(+2)→L.
4. 30(-6)→24(-5)→19(-4)→15(-3)→12(-2)→10.
5. 30(-2)→28(-5)→23(-2)→21(-5)→16.
6. 10 boys walk 10 km in 10 days, i.e., any number of boys can
walk 10 km in 10 days.
7. There is no ‘C’ letter in the given word. Therefore, the word
RACE cannot be formed.
8. M(+3)→P, A(-3)→X, R(+3)→U, C(-3)→Z, H(+3)→K
Therefore, A(+3)→D, P(-3)→M, R(+3)→U, I(-3)→F, L(+3)→O
9. A ⇒ +, B ⇒ −, C ⇒×
10C4 A 4C4 B6 =?
⇒? = 10 × 4 + 4 × 4 − 6
⇒? = 40 + 16 − 6 = 50.
10. The sum of upper two numbers gives the lower right number
while their product is equal to the lower left number.
First arrangement 5 + 4 = 9 and 5 × 4 = 20
Second arrangement 3 + 8 = 11 and 3 × 8 = 24
Third arrangement 9 + 4 = 13 and 9 × 4 = 36.
11. Subtract the first number from the second number to get the
third number in each row.
First Row 30 − 9 = 21
Second Row ?−6 = 14 ⇒= 14 + 6 = 20
Third Row 40 − 12 = 28.
12. The sum of the upper right number and the lower left
number is equal to the lower right number while their
product gives the upper left number.
First arrangement 7 + 4 = 11 and 7 × 4 = 28
Second arrangement 5 + 5 = 10 and 5 × 5 = 25
Third arrangement 8 + 3 = 11 and 8 × 3 = 24.
13.
AF = AB + BF = 24 + 15 ft = 39 ft.
14. Husband ⇒ One , Wife ⇒ One , Five married sons ⇒ 5 ×2=10
Number of children ⇒5×4=20
total number of members = 1+1+10+20=32.
15. India is famous for Mango.
Similarly, Kiwis are found in New Zealand.
16. V→E, Z→A, S→H Pairs of Opposite Letters
Similarly, Q→J, U→F, N→M
17. 42 − 22 = 20; Similary, 64 − 22 = 42.
18. Except apple, all other are juicy fruits.
19. Except the number 632, all other numbers are completely
divisible by 5.
725
5= 145;
840
5= 168;
475
5= 95; But
632
5= 126.4.
20. In the number pair ’64-36’, both the numbers are perfect
squares. 64 = 8 × 8; 36 = 6 × 6.
21. Meaningful order of words: (3) Open→(1) Type→(4)
Save→(2)Print→(5)Close.
22.
The rectangles are: IJPO; JKQP; IKNL; LNQO; ABFG; BCEF;
ACDH; HDEG Squares are also rectangles; ABMH; BCDM;
HMFG; MDEF; IJML; JKNM; MNQP; LMPO; ACEG; IKQO.
23. Some lecturers may be doctors and vice-versa. Some
Government servants may be lecturers and vice-versa. Some
Government servants may be doctors and vice-versa. Some
Government servants who are lecturers may be doctors.
some doctors who are lecturers may be Government
servants.
24.
25. Do yourself
26. Here, enquired about/appealed for… should be used. Enquire
= to ask somebody for information.
27. Have a part to play = to be able to help.
Hence, each have a part to play … should be used.
28. Here, a ten rupee (singular ) note… should be used.
Numeral Adjective+Hyphen+singular Noun two five-rupee
notes.
29. Here, heard of the earthquake… should be used.
31. Around the clock = all day and all night without stopping.
32. Come to light = to become known to people.
Look at the sentence: New evidence has recently come to
light.
37. Jealous (Adjective) = feeling anger or unhappy because you
wish you had something that somebody else has; envious.
Look at the sentence: She is jealous of my success.
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38. Futility (Noun) = uselessness; having no purpose;
pointlessness.
39. Prudent (Adjective) = sensible and careful when you make
judgment and decisions; avoiding unnecessary risks.
40. Turbulent (Adjective) = unruly; changing direction suddenly
and violently; a situation in which there is lot of sudden
change, confusion, disagreement etc.
Calm (Adjective) = not upset; not excited or nervous.
51. Marks obtained by A in English = 2x (let)
Marks obtained in Maths = 3x
Marks obtained in Science = x
2𝑥 + 3𝑥 + 𝑥 = 180 ⇒ 6𝑥 = 180 ⇒ 𝑥 =180
6= 30
= Mark obtained in science.
52. Total age of 5-member family 3 years ago = 17×5=85 years.
Their total present age = 85+3×5=100 years
Total present age of 6 members = 17×6=102 years
Present age of child = 102-100=2 years.
53. C.P. of 50 pairs of shoes = Rs. (50×189.5) =Rs. 9475.
Their S.P. = Rs. 10000 ,Gain = Rs. (10000-9475) = Rs. 525.
54. 𝑥% 𝑜𝑓 𝑦 =xy
100, y −
xy
100= y 1 −
x
100 .
55. Population of the illiterate in the village =
100 − 30 % 𝑜𝑓 6600 = 6600 × 70
100= 4620.
56. Let both trains meet after t hours.
Distance = Speed × Time = 60𝑡 − 50𝑡 = 120 ⇒ 10𝑡 =
120, 𝑡 = 12 hours. Required distance = 60t + 50t = 110t =
110 × 12 = 1320 km.
57. S.I. = Principal×Time×Rate
100=
32000×4×10
100= Rs. 12800
C.I. = P [(1 +R
100)4 − 1] = 32000 1 +
10
100
4
− 1 =
32000 1.1 4 − 1 = 32000 1.4641 − 1 = Rs. 14851.2
Required Difference = 14851.2-12800= Rs. 2051.2.
58. percentage increase in area = (𝑥 + 𝑦+𝑥𝑦
100)%,
Here, x = 100%; y = 100%
100 + 100 +100×100
100 % = 300%.
59. Volume of metallic sphere = 4
3πr3 =
4
3× π × 3 × 3 × 3 =
36π cu. cm. Volume of cone = 36π cu. cm.⇒1
3πR2h = 36π
⇒ R2h = 108 ⇒ 6 × 6 × h = 108 ⇒ h =108
6 × 6= 3 cm.
60. 𝑎 + 𝑏 + 𝑐 = 0 Given a + b = −c, b + c = −a, c + a =
−b , (𝑎 + 𝑏 − 𝑐)2 + (𝑏 + 𝑐 − 𝑎)2 + (c + a − b)2 =
(−c − c)2 + (−a − a)2 + (−b − b)2 = (−2c)2 + (−2a)2 +
(−2b)2 = 4c2 + 4a2 + 4b2 = 4 c2 + a2 + b2 .
61. 𝑥 − 𝑦 = 2015 − 2014 = 1, 𝑦− 𝑧 = 2014 − 2013 = 1, 𝑧 − 𝑥 =
2013 − 2015 = −2, 𝑥2 + 𝑦2 + 𝑧2 − 𝑥𝑦 − 𝑦𝑧 − 𝑧𝑥 =1
2 2𝑥2 + 2𝑦2 + 2𝑧2 − 2𝑥𝑦 − 2𝑦𝑧 − 2𝑧𝑥 =
1
2 𝑥2 + 𝑦2 − 2𝑥𝑦 +
�2+�2−2��+�2+�2−2�𝑥=12(�−�)2+(�−�)2+(�−�)2=121+1+4=1
2×6=3.
62. 𝑥 +1
𝑥= 2
1
12=
25
12 On squaring both sides x +
1
x
2
= 25
12
2
⇒
x2 +1
x2 + 2 =625
144⇒ x2 +
1
x2 =625
144− 2 ⇒
625−288
144=
337
144⇒
x −1
x
2
+ 2 =337
144⇒ x −
1
x
2
=337
144− 2 =
337−288
144=
49
144. ⇒
𝑥−1
𝑥=
49
144=
7
12 ,𝑥4 −
1
𝑥4 = 𝑥2 +1
𝑥2 𝑥2 −
1
𝑥2 =
𝑥2 +1
𝑥2 𝑥 +1
𝑥 𝑥 −
1
𝑥 =
337
144×
25
12×
7
12=
58975
20736.
63.
Point ‘O’ is centroid and AD is median. AO=2
3AD ⇒ 10 =
2
3AD ⇒ AD =
10×3
2= 15cm, OD =
1
3AD =
15
3= 5cm.
64.
BDC = 120° ,CDP = 180°-120°=60°
CD II AB ABP=60° = CDP.
65.
Required length of tangent =
(distance between centres)2 − (r1 − r2)2 =
(25)2 − (16 − 9)2 = 625 − 49 = 576 = 24 cm.
66. sin θ + 18° = cos 60° = cos 90° − 30° = sin 30° ⇒ θ +
18° = 30° ⇒ θ = 30° − 18° = 12° , cos 5θ = cos 60° =1
2.
67. tan θ =3
4⇒ tan2 θ =
9
16 Expression =
4sin2 θ−2cos2θ
4sin2θ+3cos2θ=
4sin2θ
cos2θ−2
cos2θ
cos2θ
4sin2θ
cos2θ+3
cos2θ
cos2θ
=4tan2θ−2
4tan2θ+3=
4×9
16−2
4×9
16+3
=9
4−2
9
4+3
=9−8
9+12=
1
21.
68.
ABCD is a concyclic quadrilateral. A + C = B + D =
180° ,A = 180° − C, cos A = cos(180° − C) =
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− cos C and cos B = − cos D , cos A + cos B − cos A −
cos B = 0.
69. Product of two numbers = HCF × LCM ⇒ Numbers = zx and zy.
zx × zy = z × LCM ⇒ LCM = xyz.
70. 12 men = 24 boys ,1 man = 2 boys ,15men + 6 boys = 36 boys
M1D1 = M2D2 ⇒ 24 × 66 = 36 × D2 ⇒ D2 =24×66
36=
44 𝑑𝑎𝑦𝑠 .
71.
AC= 24 cm = d2 , BD = 32 cm = d1 , OD = 16 cm, OC =
12 cm, COD = 90° , CD = OC2 + OD2 = 122 + 162 =
144 + 256 = 400 = 20 cm
Perimeter of rhombus = 4× CD = 4×20=80 cm.
72. Number of examinees getting more than average marks =
72 + 48 + 24 + 8 = 152 .
73. Number of students who got above 80% marks =24 + 8 =
32. Required percent = 32
273× 100 = 11.72%.
74. Number of students who got marks above 60% and below
80% = 72 + 48 = 120 ,Required percent = 120×100
273= 43.95%.
75. Number of students who got 40% or less marks = 2 + 4 +
12 + 26 = 44 ,Required Percentage = 44
273× 100 = 16.11%.
76. The Sahara is the largest subtropical hot desert and third
largest desert after Antarctica and the Arctic. At over 9,
400,000 Square kilometers, it covers most of North Africa,
making it almost as large as China or the United States. In
terms of area, the Arabian and the Kalahari deserts come at
second and third places among subtropical deserts.
77. Above Troposphere, Temperature increases rapidly with
Height in the Stratosphere layer as it houses the ozone layer
which absorbs ultraviolet (UV) rays from the sun. Again,
temperature increases rapidly with height in Thermosphere
which comprises Ionosphere (lower part) and Exosphere
(upper part). Temperature in Exosphere which is the
uppermost layer of the atmosphere reaches up to more than
4500° Celsius.
78. There are three basic classes of photosynthetic pigments:
chlorophylls (greenish pigments), Carotenoids (usually red,
orange, or yellow pigments) and Phycobilins (water-soluble
pigments found in the cytoplasm) .Anthocyanins play no part
in Photosynthesis.
79. Keratin is a family of fibrous structural proteins. It is the key
structural material making up the outer layer of human skin.
It is also the key structural component of hair and nails.
Another example of fibrous protein is collagen.
80. Swedish naturalist Carl Linnaeus established the binomial
system of naming living organisms, setting a format and a
structured process for classifying the interrelationships
between plants (among which he included all fungi), and
between animals. The binomial system that Linnaeus devised
enables an author to refer to a species confident that it will
mean the same thing to inform readers anywhere else in the
world.
81. System management is designed to balance processing and
input/output, with the aim of providing reasonable minimum
turnaround and maximum throughput. Turn around is the
amount of time elapsing between a request to the computer
to execute a program or input and the availlability of output.
82. GARUDA (Global Access to Resource Using distributed
Architecture) is the other name of the Indian National Grid
Computing Initiative. It is a collaboration of scientific and
technological researchers on a nationwide grid comprising of
computational nodes, mass storage and scientific
instruments.
83. The maximum density of water occurs at 4°C because at this
temperature two opposing effects are in balance. Water is an
exceptional compound that has a lower density in the solid
phase than the liquid phase (i.e., ice floats on water). This is
actually due to the ion nature of water in the liquid phase,
which packs the molecules tightly together.
84. Human Rights Day is celebrated annually across the world on
10 December. The day commemorates the United Nation
General Assembly’s adoption and proclamation, on 10
December 1948, of the Universal Declaration of Human
Rights.
85. The Ajanta Caves in Aurangabad district of Maharashtra ,are
about 30 rock-cut Buddhist cave monuments which date from
the 2nd
century BC to about 480 or 650 A.D. Most of them
were constructed during Gupta Period.
86. Bharat Mata is an epic painting by celebrated Indian painter,
Abanindranath Tagore. This painting depicts Bharat Mata as
Lakshmi, the Goddess of Plenty, clad in the apparel of a
Vaishnava nun.
87. Rostow’s ‘Stages of Economic Growth’ (1960) presented five
stages through which all countries must pass to become
developed: (1) traditional society, (2) preconditions to take-
off, (3) take-off, (4) drive to maturity, and (5) age of high mass
consumption. Take-off is the short period of intensive
growth, in which industrialization begins to occur, and
workers and institutions become concentrated around a new
industry.
88. July-December corresponds to the main agricultural season in
India, while January-June is a relatively ‘slack’ season. Since
more than 50% of India’s workforce is engaged in agriculture
sector, the slackness of this sector imparts sluggishness to the
entire economy.
89. The 73rd
Amendment of the Constitution was enacted in
1992, to enshrine in the Constitution certain basic and
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essential features of Panchayat Raj Institutions. It introduced
a three-tier Panchayati Raj system at the Village,
Intermediate (Block) and District levels.
90. The Panchayat Raj system was first adopted by Nagaur
district of Rajasthan on 2 October, 1958,. Andhra Pradesh
soon followed the suite. Panchayti Raj is the oldest system of
local government in the Indian subcontinent.
91. The capital of Mughal empire was changed from Agra to Delhi
(traditionally known as Shahjahanabad ) by Shahjahan in the
year 1638. The tenure of Shahjahan was 1628-1658 A.D.
92. Woodrow Wilson quipped,”A living thing is born” after the
League Covenant was drafted in 1919. The League was an
intergovernmental organization founded on 10 January,
Conference that ended the First World War.
93. The ‘Arthashastra’was authored by Kautilya, also known as
Vishnugupta, who was a contemporary and mentor of
Chandragupta Maurya, founder of the Mauryan Empire. It is
an ancient Indian treatise on statecraft, economic policy and
military strategy, written in Sanskrit.
94. The Taj Mahal was built by Mughal emperor Shahjahan in
memory of his third wife, Mumtaz Mahal in 1632-1653. It is a
white marble mausoleum located in Agra, Uttar Pradesh. It is
a UNESCO World Heritage Site and widely recognized as “The
jewel of Muslim art in India.”
95. As in most other contemporary civilizations, agriculture was
the backbone of the Indus Economy. The people made
extensive use of the wooden plows. Barley and wheat were
the main food crops. Agriculture sustained the rudimentary
urban centers that emerged (Studies in World History Volume
1 by James P. Stobaugh).
96. Bartholomew Dias, a Portuguese voyager, discovered the
Cape of Good Hope in Africa in December 1487. He had
named the Cape “the Cape of Storms”(Cabo das Tormentas),
But King John II of Portugal later renamed it Cabo de Boa
Esperanca (Cape of Good Hope).
97. Sodium carbonate (Na2CO3) is known as washing soda, soda
ash and soda crystals. It is a salt of carbonic acid, a chemical
that produces a wide range of salts collectively known as
carbonates. It can be used to remove stubborn stains from
laundry.
98. Under Article-324 of the Indian Constitution, the
superintendence, direction and control of elections to both
Houses of Parliament and State Legislatures is vested in the
Election Commission if India. The same article authorizes the
Commission to conduct the elections to the offices of the
President and Vice-President of India.
99. Typhoid fever is an infection that causes diarrhea and a rash.
It is most commonly due to a type of bacterium called
Salmonella typhi (S. typhi). S.typhi is spread through
contaminated food, drink or water.
100. Africa is located in the Northern, southern, Eastern, and
Western Hemispheres. The equator (divides the earth into
the Northern and Southern Hemispheres) and the Prime
Meridian (divides the earth into the Eastern and Western
Hemispheres) pass through Africa.
PRACTICE SET-5 General Intelligence & Reasoning
Directions (1-2) : In each of the following questions, select the related word/letters from the given alternatives. 1. Blue whale : Sea : : ? : Land
(1) Turtle (2) Fish (3) Elephant (4) Green whale
2. Hard : Rock : : Soft : ? (1) Lead (2) Paper (3) Sponge (4) Glass
Directions (3-4) : In each of the following questions, find the odd word/number/letters from the given alternatives. 3. (1) Sparrow (2) Kingfisher
(3) Nightingale (4) Bat 4. (1) Shack (2) Barn
(3) Stable (4) Barrack Directions (5-6) : In each of the following questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 5. STU, WXY, ABC, ?
(1) DEF (2) EFG (3) FCG (4) EGF
6. GX, JU, NR, SO, ? (1) VL (2) YL (3) XB (4) YA
7. Find the wrong term in the following series : 49, 49, 50, 54, 60, 70, 104 (1) 60 (2) 49 (3) 104 (4) 54
8. Among the four sets, find out the set, which is like the given set. Given set: (12, 72, 216) (1) (4, 24, 48) (2) (7, 42, 252) (3) (12, 60, 30) (4) (5, 30, 90)
9. A series of figures are given which can be grouped as related to students, artists and scientists. Select the groups into which the figures can be classified. (1) Pen (2) Flask (3) Book (4) Test tube (5) School bag (6) Design (7) Flame (8) Flower (9) Painting
(1) (1, 3, 5) (2, 4, 7) (6, 8, 9) (2) (2, 3, 5) (1, 6, 7) (4, 8, 9) (3) (1, 2, 6) (3, 4, 8) (7, 5, 9)
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(4) (3, 4, 5) (1, 2, 6) (7, 8, 9) 10. Which one of the following numbers lacks the common
property in the series? 81, 36, 25, 9, 5, 16
(1) 5 (2) 9 (3) 36 (4) 25
11. A car travels 20 miles in the same time as another car, travelling 20 MPH faster, covers 30 miles. How long does the journey take?
(1) 31 minutes (2) 29 minutes (3) 30 minutes (4) 28 minutes
12. A person walks 9 km to the South. From there he walks 5 km to the North. After this he walks 3 km to the West. In which direction and how far is he now from the starting point?
(1) 4 km South (2) 4 km North (3) 5 km North-West (4) 5 km South-West
13. Shankar and Ganesh walked 150 metres towards East. Shankar turned left and walked 100 metres. Ganesh went straight for another 100 metres. Afterwards Ganesh turned to right and Shankar turned left. In which direction are they facing now?
(1) East and North (2) West and South (3) North and South (4) South and North
14. Complete the third equation on the basis of a certain system followed in the first two equations.
1. 1 8 5 3 7 = 73581
2. 5 7 6 2 4 = 42675
3. 9 4 3 2 8 = ? (1) 83924 (2) 82349 (3) 28394 (4) 28934
15. Identify the hidden name of the geometrical figure in the given word from among the answer words whose letters are given in jumbled form. SPIRITUAL.
(1) RISPAL (2) RITUAL (3) SPIRIT (4) RIPITU
Directions (16-17) : In each of the following questions, select the missing number from the given responses. 16. W
8 7 6
8 7 6
88 77 ?
5632 3773 3132
(1) 66 (2) 87 (3) 78 (4) 76
17.
28 35 32
7 5 8
4
8
3
10
?
9
(1) 3 (2) 5 (3) 6 (4) 7
18. In the alphabetical order A, B, C, D, .....Z, which letter is 11
th to the left of the letter which is 4
th to the right of T?
(1) K (2) O (3) I (4) M
19. If DEGI is equal to 25, what is FEHD equal to ? (1) 32 (2) 25 (3) 52 (4) 23
20. If SISTER is coded as 20, 10, 20, 21, 6, 19, then the code for BROTHER is
(1) 2, 15, 16, 21, 9, 5, 18 (2) 3, 19, 16, 21, 9, 6, 19 (3) 4, 20, 15, 18, 8, 7, 9 (4) 3, 18, 16, 20, 9, 7, 19
21. If 64 + 53 = 4, 86 + 42 = 4, then 83 + 72 = ? (1) 12 (2) 10 (3) 15 (4) 18
22. How many triangles are there in the figure ABCDEF?
(1) 24 (2) 26 (3) 28 (4) 30
23. A square sheet of paper has been folded and punched as shown below in the question figures. You have to figure out from amongst the four answer figures, how it will appear when opened? Question Figures :
Answer Figures :
(1) (2)
(3) (4) 24. If America is called Greenland, Greenland is called Africa,
Africa is called Russia, Russia is called India and India is called Pakistan; Delhi is called the capital of which country?
(1) Russia (2) India (3) Pakistan (4) Greenland
25. Which number space indicates Indian teachers who are also advocates?
(1) 2 (2) 3 (3) 4 (4) 6
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General Awareness
26. ‘Economic Survey of India’ is published every year by (1) Ministry of Commerce (2) C.S.O (3) Ministry of Finance (4) Ministry of Economic Affairs
27. The term ‘food security’ implies (1) sufficient supplies of food at affordable prices (2) abundance of food with assurance to enjoy (3) availability of food of superior and nutrition quality (4) balanced food with secure conditions
28. Which one of the following factors does not shift the demand curve for a product to the right?
(1) Successful advertising (2) A fall in the price of its complements (3) A rise in the price of its substitutes (4) A fall in the price of the product itself
29. The Indian Constitution envisages not only a democratic form of government but also a democratic society, because it is infused with the spirit of
(1) Justice (2) Liberty (3) Equality (4) fraternity Which of the correct answer code? (1) 1 and 2 (2) 2 and 3 (3) 1 and 3 (4) 1, 2, 3 and 4
30. Which one of the following States enjoys the distinction of being the first linguistic State of India?
(1) West Bengal (2) Andhra Pradesh (3) Tamil Nadu (4) Punjab
31. What was the other name of Nana Sahib? (1) Ramachandra Panduranga (2) Dhondu Pant (3) Tantia Tope (4) Kunwar Singh
32. Who was the Russian leader when the Indo-Soviet Treaty of Friendship and Co-operation was signed between India and Russia?
(1) Nikita Khrushchev (2) Leonid Brezhnev (3) Yuri Andropov (4) Mikhail Gorbachev
33. The greatest Portuguese Governor who laid the real foundation of Portuguese power in India was
(1) Almeida (2) Albuquerque (3) Francis Drake (4) Vasco-da-Gama
34. Which of the following is the leading sediment transporting river in India?
(1) Gangas (2) Indus (3) Brahmaputra (4) Yamuna
35. Which of the following statements is correct? (1) Capacity of air to hold moisture decreases with a rise in temperature of air. (2) The air pressure decreases with an increase in
temperature . (3) Absolute humidity is expressed in grams per cubic metre of air. (4) With an ascent of every 165 metres, the temperature is reduced by 1
0C.
36. A plant bearing both male and female flowers is called (1) bisexual (2) dioecious
(3) monoecious (4) monogamous 37. ‘Jhum’ is
(1) a folk dance (2) the name of a river (3) a tribe in the North-East of India (4) a type of cultivation
38. Quinine is obtained from a plant. What part of the plant yields the drug?
(1) Leaves (2) Fruits (3) Root (4) Stem bark
39. The computer memory holds data (1) bytes (2) program (3) registers (4) bits
40. Math the following
Alloy Composition
A. Bronze 1. Pb + Sb + Sn
B. Brass 2. Ni + Zn + Cu
C. German Silver 3. Cu + Zn
D. Type metal 4. Cu + Sn
A B C D (1) 1 4 3 2 (2) 2 1 4 3 (3) 3 2 1 4 (4) 4 3 2 1
41. It is not advisable to sleep under a tree at night because of the
(1) release of less oxygen. (2) release of more oxygen. (3) release of carbon dioxide. (4) release of carbon monoxide.
42. The calorie requirement of the body increases in winter as compared to summer because more calories are necessary to
(1) make more fat in the body. (2) compensate for falling hair. (3) sustain body temperature. (4) break more proteins.
43. Match the following A. Copper sulphate B. Penicillin C. Urea D. Malathion
(1) Fertiliser (2) Insecticide (3) Fungicide (4) Antibiotic
A B C D (1) 1 2 3 4 (2) 2 4 1 3 (3) 3 4 1 2 (4) 4 3 2 1
44. When plant diversity is maintained in natural habitat, the conservation is called
(1) in vivo (2) in vitro (3) ex situ (4) in situ
45. What does the term ‘Lithosphere’ refer to ? (1) Plants and animals (2) Interior of the earth (3) Crust of the earth (4) None of the above
46. Which part of throat in men is called Adam’s apple?
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(1) Cricoid cartilage (2) Larynx (3) Bronchi (4) Thyroid cartilage
47. GSLV Project of India is connected with (1) agriculture development. (2) conservation of river water. (3) banking system. (4) missile engines for space programmes.
48. When was Olympic Flag designed ? (1) 1913 (2) 1914 (3) 1915 (4) 1916
49. Which country has hosted the 2012 Olympic Games? (1) U.K. (2) Germany (3) U.S.A. (4) South Korea
50. When was first Gyanpeeth award given in literature? (1) 1965 (2) 1966 (3) 1967 (4) 1968
Quantitative Aptitude
51. The number of times 2 is used while writing the number 1 to 100 is
(1) 21 (2) 20 (3) 19 (4) 18
52. If the product of two numbers is 2160 and HCF is 6, then the ratio of HCF and LCM is
(1) 21 : 60 (2) 60 : 21 (3) 1 : 60 (4) 60 : 1
53. The value of 0.2304 + 0.1764
0.2304− 0.1764 is
(1) 6 (2) 28 (3) 18 (4) 15
54. A tank can be filled by pipe A in 2 hours and by pipe B in 3 hours. An outlet C can empty the tank in 6 hours. If all the three are opened simultaneously, the tank will be filled in
(1) 1 hours (2) 11
2 hours
(3) 2 hours (4) 11
3 hours
55. If a shopkeeper marks the price of goods 50% more than their cost price and allows a discount of 40%, what is his gain or loss per cent?
(1) Gain 10% (2) Gain 15% (3) Loss 15% (4) Loss 10%
56. The weights of zinc, copper and aluminium in an alloy are in the ratio 2 : 3 : 7. In the alloy weighing 48 kg, the difference in weight of zinc and aluminium is
(1) 5 kg (2) 16 kg (3) 20 kg (4) 4 kg
57. The average weight of 8 persons is increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new man. The weight of the new man is
(1) 20 kg (2) 64 kg (3) 58.5 kg (4) 76 kg
58. The difference between the selling price of a shirt sold at profits 15% and 17% is Rs. 3. Then the cost price if the shirt is
(1) Rs. 200 (2) Rs. 150 (3) Rs. 175 (4) Rs. 180
59. Ratan’s expenditure and savings are in the ratio 5 : 1. If his salary is increased by 25% and savings by 15%, the percentage increase in his expenditure is
(1) 18% (2) 27% (3) 28% (4) 32%
60. Cyclist A started his journey on cycle at 7.30 a.m. at a speed of 8 km/hr. After 30 minutes, cyclist B started from the same place but with a speed of 10 km/hr. At what time did B overtake A?
(1) 8 a.m. (2) 10 a.m. (3) 9 a.m. (4) 9.30 a.m.
61. If the simple interest on a certain sum of money for three years is Rs. 225 and the compound interest on the same sum at the same rate for 2 years is Rs. 153, then the principal invested, in rupees, is
(1) 1,500 (2) 2,250 (3) 3,000 (4) 1,875
62. The areas of a square and a rectangle with equal perimeter are denoted by S and R respectively. Which one of the following is correct?
(1) S = R (2) S > R (3) S < R (4) S = 2R
63. Semi-vertical angle of a right circular cone is 300. If the
ratio of the numerical value of the volume and slant surface area be 1 : 3, the radius of the base is
(1) 1 units (2) 2
3 𝑢𝑛𝑖𝑡𝑠
(3) 3 units (4) 3 units 64. Each of the five angles of a polygon is equal to 172
0 and
the other angles are 1600 each. The number of sides of
the polygon is (1) 20 (2) 21 (3) 22 (4) 23
65. The volume of a solid hemisphere is numerically equal to its total surface area. Its radius is
(1) 3 units (2) 11
2 units
(3) 4 1
2 units (4) 9 units
66. If x = 2t and y = 2𝑡−1
3, then what is the value of t for which
x = y holds?
(1) 1
4 (2) −
1
2
(3) 1
3 (4) −
1
4
67. If x = 5+1
5−1, value of x
2 + x – 1, is
(1) 5 (2) 2
(3) - 5 (4) 5 + 1 68. Equations of the straight lines containing two sides of a
right-angled triangle are given by y = x and y = 0. of the following, the equation which cannot represent the third side is
(1) x = 5 (2) x = 2 (3) x = 0 (4) x = -3
69. In the figure below, lines k and l are parallel. The value of a
0 + b
0 is
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(1) 45
0 (2) 100
0
(3) 1800 (4) 360
0
70. SR is a direct common tangent to the circles of radii 8 cm and 3 cm respectively, their centres being 13 cm apart. If the points S and R are the respective points of contact, then the length of SR is
(1) 12 cm (2) 11 cm (3) 17 cm (4) 10 cm
71. The bisector of the angle BAC of a triangle ABC intersects the side BC at the point D and meets the circumcircle of
the ABC at E. Them, it is always true that AB.AC + DE.AE = ?
(1) AD2 (2) AE
2
(3) CE2 (4) CD
2
Directions (72-75) : The following line-graph gives the annual per cent profit earned by company during the period 1995-2000. Study the line-graph and answer the questions.
% Profit = 𝐼𝑛𝑐𝑜𝑚𝑒 −𝐸𝑥𝑝𝑒𝑛𝑑𝑖𝑡𝑢 𝑟𝑒
𝐸𝑥𝑝𝑒𝑛𝑑𝑖𝑡𝑢𝑟𝑒
72. Profit earned by the company is maximum in the year
(1) 1995 (2) 1999 (3) 2000 (4) 1997
73. The period in which the profit of the company has increased fastest is
(1) 1997-98 (2) 1995-96 (3) 1998-99 (4) 1996-97
74. The range of profit made by the company is (in percentile)
(1) 25 (2) 20 (3) 15 (4) 30
75. The expenditure of the company during the year 1995 was Rs. 20 thousand crore. Then the income of the company in that year was (in thousand crore Rs.)
(1) 15 (2) 28 (3) 25 (4) 12
English Language
Directions (76-77) : In the following questions, some part of the sentences have errors and some have none. Find out which part of a sentence has an error. The number of that part is your answer. If there is no error, your answer is (4) i.e., No error.
76. Having lived (1) / in Kerala for ten years, (2) / my friend is used to speak Malayalam with his friends. (3) / No error (4)
77. Much water (1) / has flown (2) / under this bridge. (3) / No error (4)
Directions (78-80) : In the following questions, sentences are given with blanks to be filled in with an appropriate word (s). Four alternatives are suggested for each question. Choose the correct alternative out of the four. 78. He will dispense ... your services.
(1) of (2) off (3) on (4) with
79. I have given her ........ (1) a work (2) some works (3) a piece of work (4) many works
80. He is a popular teacher. He seems to be ..... for that profession.
(1) cut down (2) cut off (3) cut in (4) cut out
Directions (81-83) : In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word. 81. Indiscriminate
(1) undifferentiated (2) instant (3) sensible (4) discreet
82. Literal (1) verbatim (2) formal (3) idealistic (4) outdated
83. Intricate (1) puzzling (2) illusive (3) complicated (4) assertive
Directions (84-87) : In the following questions, choose the word opposite in meaning to the given word. 84. Resourcefulness
(1) scarcity (2) stupidity (3) incompetence (4) bankruptcy
85. Evolve (1) withdraw (2) withhold (3) suspend (4) stop
86. Antiquated (1) renewed (2) unique (3) modern (4) renovated
87. Pathetic (1) comic (2) ridiculous (3) dramatic (4) trivial
Directions (88-90) : In the following questions, four alternatives are given for the Idiom/Phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the Idiom/Phrase. 88. For some people, writing verse is as duck takes to water.
(1) like taking the duck to water. (2) like bursting out suddenly. (3) like dropping the duck in the water. (4) like easily and naturally speaking.
89. He made my day by telling me how important I was to him.
(1) gave me great pleasure (2) displeased me (3) spoiled my day
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(4) made me resentful 90. He made away with ten thousand rupees in the course
of three months. (1) earned (2) ran away with (3) squandered (4) saved
Directions (91-95) : In the following questions, a part of the sentence is printed in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4) 91. The ship ran over when it crashed into an iceberg.
(1) got over (2) gave up (3) went down (4) No improvement
92. His wife was contentious. (1) contagious (2) quarrelsome (3) content (4) No improvement
93. Historians feel there is an earnest need for the review of history text books every five years and a revision of the same every ten years.
(1) imperative (2) indispensable (3) urgent (4) No improvement
94. My car broke off on my way to the office. (1) out (2) in (3) down (4) No improvement
95. Freedom is a wonderful thing, for Jimmy was eager to experience it.
(1) though (2) and (3) but (4) No improvement
Directions (96-100) : In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. 96. An act or notion to look back in the past.
(1) Retrospective (2) Postnatal (3) Retrogressive (4) Primitive
97. Medicine to counteract the effect of a poison. (1) Emetic (2) Antidote (3) Anti-venom (4) Antiseptic
98. A collection of poems. (1) Pathology (2) Anthology (3) Oncology (4) Pedology
99. One who studies mankind. (1) Anthropologist (2) Physicist (3) Pathologist (4) Philanthropist
100. An opinion contrary to popular belief. (1) Paradox (2) Orthodoxy (3) Hearsay (4) Heresy
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ANSWER SHEET
1.3 2.3 3.4 4.1 5.2 6.2 7.1
8.4 9.1 10.1 11.3 12.4 13.2 14.2
15.1 16.2 17.2 18.4 19.4 20.2 21.2
22.3 23.2 24.3 25.2 26.3 27.1 28.2
29.4 30.2 31.2 32.1 33.2 34.1 35.4
36.3 37.4 38.4 39.2 40.4 41.3 42.3
43.3 44.4 45.3 46.4 47.4 48.1 49.1
50.1 51.2 52.3 53.4 54.2 55.4 56.3
57.4 58.2 59.2 60.2 61.4 62.2 63.2
64.4 65.3 66.4 67.4 68.4 69.1 70.1
71.2 72.2 73.1 74.4 75.2 76.3 77.2
78.4 79.3 80.4 81.1 82.1 83.3 84.2
85.2 86.3 87.3 88.4 89.1 90.2 91.3
92.2 93.4 94.3 95.2 96.1 97.2 98.2
99.1 100.4
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Practice Set – 5
Hints & Solutions
1. The abode of Blue Whale is sea.
Similarly, the abode of Elephant is land.
2. The first term is the property of the second term. Rock
remains hard. Similarly, sponge is soft.
3. Except Bat, all other are birds: Bat is a mammal.
4. Shack is roughly built shed or hut.
Barn is “a large simple building for storing grain,: “a building
for sheltering farm animals” etc.
Stable is a building in which horses are kept and fed.
Barrack refers to a large building or group of buildings for
soldiers to live in.
5. S(+1)→T(+1)→U, W(+1)→X(+1)→Y, A(+1)→B(+1)→C,
E(+1)→F(+1)→G.
6. G(+3)→J(+4)→N(+5)→S(+6)→Y
X(-3)→U(-3)→R(-3)→O(-3)→L.
7. 49 + 0 = 49, 49 + 1 = 50, 50 + 4 = 54, 54 + 9 = 63, 63 +
16 = 79, 79 + 25 = 104.
Thus, the number 60 is wrong in the series.
8. 12 × 6 = 72; 72 × 3 = 216;
5 × 6 = 30; 30 × 3 = 90.
9. Students ⇒ Figures 1, 3 and 5 , Artists ⇒ Figures 6, 8 and 9
Scientists ⇒ Figures 2, 4 and 7.
10. Except the number 5, all other numbers are prefect squares.
81 = 9 × 9; 36 = 6 × 6,25 = 5 × 5; 9 = 3 × 3; 16 = 4 × 4.
11. Difference in the distances covered by both the cars =
30 − 20 miles = 10 miles
the faster car travelling 20 MPH faster, covers 10 miles more .
Therefore, the time of journey = 10
12=
1
2hour.
12.
Required Distance = AD = (AC)2 + (CD)2 = (4)2 + (3)2 =
16 + 9 = 25 = 5 km.
13.
Shankar is facing towards West. Ganesh is facing towards
Sough.
14. The digits have been written in reverse order. 1 1 × 8 ×
5 × 3 × 7 = 73581, 2 . 5 × 7 × 6 × 2 × 4 = 42675 3 . 9 ×
4 × 3 × 2 × 8 = 82349.
15. RISPAL ⇒SPIRAL.
16. First column 8 × 8 × 88 = 5632, Second column 7 × 7 × 77 =
3773, Third column 6 × 6 ×? = 3132 , ? =3132
36= 87.
17. First column 28
7= 4; 4 + 4 = 8 Second column
35
5= 7; 7 + 3 =
10 , Third column32
8= 4; 4 + 5 = 9.
18. 4th
to the right of T⇒X , 11th
to the left of X⇒M.
19. 4+5+7+9 = 25, 6+5+8+4 = 23
20. S ⇒ 19 + 1 = 20; I ⇒ 9 + 1 = 10; S ⇒ 19 + 1 = 20; T ⇒ 20 +
1 = 21; E ⇒ 5 + 1 = 6; R ⇒ 18 + 1 = 19.
Similarly,
B ⇒ 2 + 1 = 3; R ⇒ 18 + 1 = 19; O ⇒ 15 + 1 = 16; T ⇒
20 + 1 = 21; H ⇒ 8 + 1 = 9; E ⇒ 5 + 1 = 6; R ⇒ 18 + 1 =
19.
21. 6 − 4 = 2; 5 − 3 = 2; 2 + 2 = 4.
8 − 6 = 2; 4 − 2 = 2; 2 + 2 = 4
8 − 3 = 5; 7 − 2 = 5; 5 + 5 = 10.
22.
∆FAE; ∆FAI; ∆FIE; ∆CBD; ∆CBJ; ∆CJD; ∆AIJ; ∆BJI; ∆BJA; ∆AIB;
∆IED; ∆JDE; ∆JDI; ∆IEJ; ∆GAB; ∆GAI; ∆GJI; ∆GJB; ∆HJI; ∆HDE;
∆HEI; ∆HJD; ∆AJF; ∆EFJ; ∆BCI; ∆CDI; ∆IBD; ∆JEA; .
23. 24. Delhi is capital of India. But, here India is called Pakistan.
25. Indian teachers who are also advocates can be represented
by the region common to all the three circles. Such region is
marked ‘3’.
26. ‘Economic’ survey of India’ is published every year by
Economic division of Ministry of Finance, Government of
India.
27. The term ‘food security’ implies sufficient supplies of food at
affordable prices.
28. Demand curve is a line on a graph showing the quantity of a
goods consumers would be able and willing to buy in a given
market and specified time period over a range of possible
prices, other things being equal. The demand curve is
depicted as downward-sloping from left to right.
29. The Preamble to the Constitution embodies the objectives
and basic purposes which indicate the fundamental principles
of new order.
30. Andhra Pradesh is the first State in India to have been formed
on a purely linguistic basis. On October 1, 1953, eleven
districts of the Madras State were put together to form a new
Andhra State with Kurnool as capital. On November 1, 1956,
in accordance with the recommendations of the State
Reorganization Commission, the Andhra State was enlarged
and Hyderabad was made the capital.
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31. Nana Sahib, born on May 19, 1824 as Dhondu Pant, was a
rebel Indian leader during the Great Revolt of 1857. As the
adopted son of the exiled Maratha Peshwa Baji Rao II, he
sought to restore the Maratha confederacy and the Peshwa
tradition.
32. The Indo-Soviet Treaty of Friendship and Cooperation was
signed between India and Russia on August 9, 1971 that
specified mutual strategic cooperation. Nikita Khrushchev
was the President of Russia (USSR) in 1971.
33. The Government of Portuguese India was started in 1505,
seven years after the discovery of the sea route to India by
Vasco da Gama with the nomination of the first Governor
Fransciso de Almeida, then settled at Kochi. Alfonso de
Albuquerque succeeded Almeida in 1509. He conquered Goa,
Malacca and Hormuz. He died in Goa in December 1515.
34. The Ganges Delta, formed mainly by the large, sediment
laden flows of the Ganges and Brahmaputra river, is the
World’s largest delta, at about 59,000 sq.km.
35. Moisture Index is a measure of the water balance of an area
in terms of gains from Precipitation (P) and losses from
Potential Evapotranspiration (PE). The Moisture Index (MI) is
calculated thus:
MI= 100 P−PE
PE
Air pressure or Atmospheric pressure is the pressure exerted
by the atmosphere as a result of gravitational attraction
exerted on the column of air lying above a particular point.
Atmospheric pressure, measured in millibars, decreases
logarithmically with height. Absolute humidity is the density
of the water vapour present in a mixture of air and water
vapour, that is , the ratio of the mass of water vapour to the
volume occupied by the mixture., usually measured in grams
per cubic centimetre. Environmental lapre rate is the fall in
temperature of stationary air with height, at the rate of 1°C
per 165 metres.
36. A plan bearing both male and female flowers is called
Monoecious.
37. ‘Jhum’ is a type of cultivation. It is primitive form of
agriculture and is also called ‘slash and burn’ type of
cultivation.
38. Quinine is obtained from the bark of the cinchona tree. It is
also synthesised in the laboratory. Quinine was the first
effective treatment for malaria caused by Plasmodium
falciparum. It is a natural white crystalline alkaloid.
39. Computer memory refers to the physical devices used to
store programs (sequence of instructions) or data.
40. Bronze: An alloy of copper with upto one-third tin.
Brass: A yellow alloy of copper and Zinc.
German silver: A white alloy of nickel, zinc and copper.
Type metal: An alloy of lead, antimony and tin.
41. During night, plant releases carbon dioxide.
42. The calorie requirement of the body increases in winter as
compared to summer because more calories are necessary to
sustain body temperature.
43. Copper sulphate is used as a fungicide. Penicillin is an
antibiotics produced naturally by moulds of the genus
Penicillum. Urea is a nitrogenous compound used as fertiliser.
Malathion is an insecticide containing phosphorus with low
toxicity to other animals.
44. When plant diversity is maintained in natural habitat, the
conservation is called in situ. In situ is a Latin term which
means “in its place,” “in its original place”. In vivo means
“taking place in a living organism”. In vitro means “taking
place in test tube or other laboratory environment.”
45. Lithosphere refers to rigid part of the earth’s crust, that
extends from a depth of about 65 kilometre below the
surface and comprises of the Sial, the Sima and the upper
Mantle. Below it is the softer, weaker layer known as the
Asthenosphere.
46. Adam’s apple is the projection at the front of the neck
formed by the thyroid cartilage of the larynx.
47. GSLV (Geosynchronous Satellite Launch Vehicle) is an
expendable launch system operated by Indian Space
Research Organization (IRSO). It was developed to enable
India to launch its INSAT-type satellites into geostationary
orbit.
51. Required answer = 20 .
52. Number are 6x and 6y where x and y are co-prime,
Product = 36xy , LCM= 6xy
HCF
LCM=
6
6XY=
36
36XY=
1
60.
53. 0.2304+ 0.1764
0.2304− 0.1764=
0.48+0.42
0.48−0.42=
0.9
0.06=
9×10
6= 15.
54. Part of tank filled in 1 hour = 1
2+
1
3−
1
6=
3+2−1
6=
4
6=
2
3. Hence, the tank will be filled in
3
2= 1
1
2 hours.
55. C.P. = Rs. 100, Marked price= 150, SP = 150×60
100= Rs. 90 , Loss = 10% OR Profit/loss percent =
50 − 40 −50×40
100 = −10% Negative sign shows loss.
56. sum of ratios = 2+3+7=12 Required difference = 7−2
12× 48 =
20 kg.
57. Weight of new man = 56 + 8 × 2.5 = 76 kg.
58. 2%=3 , 100%=3
2× 100 = Rs. 150.
59. Expenditure = Rs. 5x, saving = Rs. x , Income = Rs. 6x , New
income= Rs. 7.5x, Savings = Rs. 1.15x, Expenditure = Rs. 6.35x
Percentage increase = 1.35𝑥
5𝑥× 100 = 27%.
60. Distance covered by A in half an hour = 4 km. Relative speed
of B = 10 – 8 =2 kmph, Required time =4
2= 2 hours i.e. 10
a.m.
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61. S.I. in two years =
225×2
3= Rs. 150, R =
150×100
P×2=
7500
P , Difference =
PR2
100 2 ⇒ 3 =
P×7500×7500
P2×100×100⇒ 3P2 = P × 75 × 75 ⇒ P =
75×75
3= Rs. 1875.
62. Let’s take an example: Let length of rectangle = 60 units,
Breadth = 40 units. Perimeter = 2(60+40)=200 units , Area =
60×40=2400 sq.units .Side of Square = 200
4= 50 units.
63.
BAD = 30° , If BD = r units, then AD = h = BD cot 30° =
3r units , AB = 𝑙 =BD
sin 30°= 2𝑟 units
13𝜋𝑟2ℎ
𝜋𝑟𝑙=
1
3⇒
𝑟ℎ
3𝑙 =
1
3⇒ 𝑟ℎ = 𝑙 , 𝑟 × 3𝑟 = 2𝑟 ⇒ 𝑟 =
2
3.
64. (2𝑛1−4
𝑛1× 90° = 160° ⇒ 180𝑛1 − 360 = 160𝑛1
⇒ 20𝑛1 = 360 ⇒ 𝑛1 = 18.
Number of sides = 18+5=23.
65. According to questions 2
3𝜋𝑟3 = 3𝜋𝑟2 ⇒ 𝑟 =
9
2= 4
1
2𝑢𝑛𝑖𝑡𝑠 .
66. 𝑥 = 𝑦 ⇒ 2𝑡 =2𝑡−1
3⇒ 6𝑡 = 2𝑡 − 1 ⇒ 4𝑡 = −1 ⇒ 𝑡 = −
1
4.
67. 𝑥 = 5+1
5−1= 5+1
5−1×
5+1
5+1= 5+1
2
5−1=
5+1
2 ,
𝑥2 + 𝑥 − 1 = ( 5+1
2)2 +
5+1
2− 1 =
5+1+2 5
4+
5+1
2− 1 =
3+ 5
2+
5+1
2− 1 =
3+ 5+ 5+1−2
2= 5 + 1.
68.
y=0 is an equation of x-axis. y=x is the equation of OA.
Equation of AB II y-axis is x=c.
69.
k II 𝑙 II m ⇒ BOA = 45° ⇒ AOB = a° and DOB =
b° so a° + b° = AOB = 45°.
70. SR =
distance between center 2 − r1 − r2 2= 13 2 − 5 2 =
18 × 8 = 12 cm.
71.
AB. AC + AE. DE = AE2
AB.AC = AE(AE-DE) = AE. AD
72. It is obvious from the graph.
73. Increase in profit percent = 65−45
45× 100 = 44%.
74. Range = 70-40 = 30.
75. 40 = income−20000
20000× 100 ⇒ 8000 = income − 20000 ⇒
income = Rs. 28000 crore.
76. Here, my friend is used to speaking …. should be used .
77. Here, has flowed …. should be used.
Look : Fly →Flew(Past) →Flown (Past Participle).
78. Dispense with somebody/Something means: to stop using
somebody/ something because you no longer need them or
it.
79. Be cut out for something / be cut out to be something means:
to have the qualities and abilities needed for something.
81. The word Indiscriminate (Adjective) means: action without
thought; undifferentiated.