CAT 1996



Ans .

(a) ABDC


  1. Explanation :

    1. a Starts with telling how women handle pain better than men. Given example of child birth in A followed by consequences in B, D states that men in authors’ life do not take painkillers, C tells about their complaining.





Ans .

(a) DBAC


  1. Explanation :

    2. a D States the position now, as opposed to a 'few years ago' mentioned in 1. B makes a comparison with a similar situation which A continues with. C asks a question that is answered by 6.





Ans .

(a) ACDB


  1. Explanation :

    3. a A talks about where the wedding took place, C states who all attended marriage, D tells us about the bride and B states that little is known about her, a fact that is continued in 6.





Ans .

(b) DCAB


  1. Explanation :

    4. b D states that in addition to being unlucky in love, Liz Taylor is unlucky in law too. C states the reason for that observation, A states the consequences of C and B states what the lawsuit was about.





Ans .

(c) ADCB


  1. Explanation :

    5. c A tells us who Chambers was, D states why he had appeared before the Committee, C states Hiss' reaction to charges against him. B states that Nixon arranged a meeting between the two, and 6 continues with what happened at the meeting.





Ans .

(a) ACBD


  1. Explanation :

    6. a A gives some names of the guitar heroes, C adds to the list, B states why these musicians were popular and D states why their popularity came down.





Ans .

(a) ACBD


  1. Explanation :

    7. a A states that though oceans are the cradles of life, waste is dumped into them, C talks about the results of the same, B continues with it and D concludes that man has caused these problems.





Ans .

(a) DBCA


  1. Explanation :

    8. a D tries to answer the question raised in 1, B simplifies the statement made in D, C further simplifies it and A talks about the position of ordinary citizens regarding the issue, which is continued in 6.





Ans .

(c) BDCA


  1. Explanation :

    9. c B answers the question raised in 1, D gives a reason for the stand taken by the analysts regarding the new machine, C highlights that a desktop computer can come just for $2,000 in America, and A states a disadvantage of these computers.





Ans .

(b) BADC


  1. Explanation :

    10. b B states Clarke's determination to make stained glass more popular, A states his success in the mission, D talks about his two projects and C elaborates on the first project while 6 talks about the second.



11. Find the odd word out from each of the following sets of four word.


Ans .

(b) Equanimity <


  1. Explanation :

    11. b All others have a quality of excitement in them.





Ans .

(b) Intrusion


  1. Explanation :

    12. b All others refer to a flow of a liquid.





Ans .

(b) Guilelessness


  1. Explanation :

    13. b All others refer to deception in some form.





Ans .

(c) Amble


  1. Explanation :

    14. c All others are modes of transport.





Ans .

(d) End


  1. Explanation :

    15. d All others refer to a break in a continuous action.



16. Liquid : Gaseousness


Ans .

(a) Serum : Fume


  1. Explanation :

    16. a The first pair shows two states of matter and the second pair gives examples of those states.





Ans .

(b) Separation : Combination


  1. Explanation :

    17. b The first word of each pair refers to breaking up of something and the second pair refers to joining of something.





Ans .

(a) Atheist : Religion


  1. Explanation :

    18. a Both are pairs of antonyms.





Ans .

(a) Word : Dictionary


  1. Explanation :

    19. a Bricks put together make a building, just as words put together make a dictionary.





Ans .

(c) Palliative : Exacerbating


  1. Explanation :

    20. c Both are pairs of antonyms.





Ans .

(b) Assail : Defend


  1. Explanation :

    21. b In both the pairs, the first is interrupted or followed by the second.





Ans .

(a) Anachronism : Time


  1. Explanation :

    22. a Using words in a wrong place is malapropism and placing something in a wrong period of time is anachronism.





Ans .

(d) Front : Rear


  1. Explanation :

    23. d Anterior means front and posterior means rear



24. When we call others dogmatic, what we really object to is ___.


Ans .

(b) their holding dogmas that are different from our own


  1. Explanation :

    24. b This is the only phrase that fits here.





Ans .

(a) Even if I have tears in my eyes


  1. Explanation :

    25. a 'Even if I have tears in my eyes' goes perfectly with 'I have to keep smiling'.





Ans .

(b) are the best indicators of public sentiment


  1. Explanation :

    26. b Stock markets indicate public sentiment, not just confidence.





Ans .

(c) few will know, or care about


  1. Explanation :

    27. c 'Few will know about' is the most concise way to express the meaning.





Ans .

(b) The more people change


  1. Explanation :

    28. b It is a well-known saying in English.





Ans .

(b) its haunting images


  1. Explanation :

    29. b 'Its haunting images' refers to the images of the movie that are capable of haunting people.



30. The Romanians may be restive under Soviet direction — but they are tied to Moscow by ideological and military links.


Ans .

(a) they are tied to Moscow by ideological and military links


  1. Explanation :

    30. a No other choice states why they are tied to Moscow





Ans .

(a) whose bodies are cared for by welfare aid


  1. Explanation :

    31. a The sentence refers to the people who are 'physically looked after' by the welfare aid. No other choice states the involvement of welfare aid.





Ans .

(b) Combining realistic details


  1. Explanation :

    32. b The best possible and logical answer is (b) combining realistic details.





Ans .

(c) The answer is out there somewhere


  1. Explanation :

    33. c The given phrase obviously refers to the answer to the question that is bothering the author.





Ans .

(a) ally to give an excruciating vision of guilt


  1. Explanation :

    34. a The original phrase is best suited here.





Ans .

(c) Any other action has the potential of failure


  1. Explanation :

    35. c The sentence means that any other action will most probably lead to failure.



36. 1. Some pins are made of tin
2. All tin is made of copper
3. All copper is used for pins
4. Some tin is copper
5. Some pins are used for tin
6. Some copper is used for tin


Ans .

(c) 341


  1. Explanation :

    36. c If all copper is used for pins and some tin is also copper, then it follows that some pins are made of tin.





Ans .

(a) 251


  1. Explanation :

    37. a If all birds lay eggs and ostrich is a bird, it follows that ostrich also lays eggs.





Ans .

(b) 246


  1. Explanation :

    38. b If all wood is good and all wood is paper, it follows that some paper is also good.





Ans .

(a) 513


  1. Explanation :

    39. a If all bricks are tricks and all tricks are shrieks, then some shrieks should be bricks.





Ans .

(a) 231


  1. Explanation :

    40. a If all sandal is band and all band is sand, it follows that some sand is band.





Ans .

(d) 245


  1. Explanation :

    41. d All life is strife and all that is wife is life, therefore all wife is also strife.





Ans .

(d) 542


  1. Explanation :

    42. d All owls are mosquitoes but some owls are flies, therefore some flies are also mosquitoes.





Ans .

(a) 145


  1. Explanation :

    43. a Six is five but some six is twelve, therefore some twelve is also five.





Ans .

(a) 145


  1. Explanation :

    44. a Although this doesn't seem convincing, but if we look at it from purely logical point of view, then if poor girls want to marry rich boys, and rich boys want to marry rich girls, then logically poor girls want to marry rich girls.



45. A.Still, Sophie might need an open heart surgery later in life and now be more prone to respiratory infections..
B.But with the news that his infant daughter Sophie has a hole in her heart, he appears quite vulnerable..
C.While the condition sounds bad, it is not life threatening, and frequently corrects itself.
D.Sylvester Stallone has made millions and built a thriving career out of looking invincible.


Ans .

(c) DBCA


  1. Explanation :

    45. c D introduces Sylvestor Stallone as being a successful man, B states the condition of his daughter as a contrast to his career, C states that the condition might correct itself and A states that in spite of the possible cure, how the girl might suffer.





Ans .

(c) DBAC


  1. Explanation :

    46. c D introduces one of the twelve labours of Hercules, B states the problem involved in the task, A states how the problem could be tackled and C states how Hercules finally accomplished the task.





Ans .

(a) ADBC


  1. Explanation :

    47. a A makes a statement that is proved by an example in D. B shows the reaction of Jodie Foster to the given fact and C continues with it.





Ans .

(a) DBAC


  1. Explanation :

    48. a D introduces JP Morgan as one of the largest banking institutes, B states some facts to corroborate it, A tells us about how it makes its business decisions and C states the importance of JP Morgan's proprietary related data.





Ans .

(a) ACBD


  1. Explanation :

    49. a A states an offer being made by the Saheli programme, C states that it will include all sorts of topics, B further states what the participants will learn, and D states that the tour would also include some sightseeing.





Ans .

(d) ACBD


  1. Explanation :

    50. d A states that something magical is happening to our planet, C states what it is, B states what it is being called by some people and D states what others are calling it.



51. A suitable title to the passage would be


Ans .

(b) Capitalism and Labour Disintegration: Pinning the Blame.


  1. Explanation :

    51. b The passage is about how capitalism has led to disintegration of labour.





Ans .

(b) Because he wants to give us an example of something undesirable that Adam Smith was proud of.


  1. Explanation :

    52. b The author feels that Adam Smith boasted about something that was actually undesirable.





Ans .

(d) It took much longer to make a pin earlier.


  1. Explanation :

    53. d It takes much less time to make pins by machines today





Ans .

(b) pins are so common and cheap that taking one would not even be considered stealing by them.


  1. Explanation :

    54. b Pins are so cheap that a child stealing it would not even feel that he is actually stealing something.





Ans .

(a) is a supporter of the craftsmanship over bulk mechanised production.


  1. Explanation :

    55. a The author is clearly against machines taking the place of men.





Ans .

(c) Adam Smith


  1. Explanation :

    56. c Adam Smith was a supporter of mass production.





Ans .

(b) the more rich people get, they forget the nuances of individual ability.


  1. Explanation :

    57. b The statement means that as people get richer they lose out on individual abilities.





Ans .

(c) satirical.


  1. Explanation :

    58. c He is attacking this fact by making fun of it.





Ans .

(d) None of the above.


  1. Explanation :

    59. d None of the given statements continue with what the author has said in the last paragraph.



60. It may be inferred that the passage was written


Ans .

(a) when Britain was still a colonial power.


  1. Explanation :

    60. a The passage refers to the British Government as the 'Empire', and talks about the way it takes over foreign territories.





Ans .

(a) is usually not found in simple tribes but civilized people.


  1. Explanation :

    61. a The author says that simple tribes are often friendly and honest.





Ans .

(c) Trade of finished products


  1. Explanation :

    62. c Trade of finished products falls under the capital freshly saved.





Ans .

(d) The English taxpayer has to pay for the upkeep of territories he did not want.


  1. Explanation :

    63. d He says that the civilized empire grows at the expense of the home tax payers, without any intention or approval on their parts.





Ans .

(b) Because civilized countries would make them pay protection duties.


  1. Explanation :

    64. b Civilized countries practise protection, which means there is an imposition of heavy taxes on imported goods.





Ans .

(a) self-important


  1. Explanation :

    65. a 'Officious' means 'self-important'.





Ans .

(c) that they actually want to rule new lands and selling goods is an excuse.


  1. Explanation :

    66. c Though they seem to come with the intention of trade, soon gun boats follow and a government is set up by the capitalists in the new land.



67. What is most probably the author's opinion of the existing moral principles of the people?


Ans .

(b) He thinks that they are okay as they are and do not need any major change.


  1. Explanation :

    67. b He perceives no sign of a revolution in ethical matters.





Ans .

(c) do not have to change our moral ideas.


  1. Explanation :

    68. c The author finds no reason why the doctrines of Darwin should change our moral ideas.





Ans .

(c) The welfare of the community realised in its members.


  1. Explanation :

    69. c The Chief Good refers to the welfare of the community realized in its members.





Ans .

(b) what mankind needs is a Hellenic ideal rather than a Christian one.


  1. Explanation :

    70. b He advocates a return to a non-Christian and perhaps a Hellenic ideal.





Ans .

(a) is not followed by most people.


  1. Explanation :

    71. a The moral code of Christianity has been rejected by all except fanatics.



72. Which of the following should not be subsidised now, according to the passage?


Ans .

(d) All of the above


  1. Explanation :

    72. d The passage is obviously against all the subsidies.





Ans .

(d) fiction, according to the author.


  1. Explanation :

    73. d The author believes that actually the poor pays for the subsidies and most subsidies go to the rich.





Ans .

(a) The countries' belief in the efficacy of the system was bound to turn out to be false.


  1. Explanation :

    74. a Utopia is an imaginary perfect world.





Ans .

(b) believes that the theory of helping with subsidy is destructive.


  1. Explanation :

    75. b The author believes that subsidies do more harm than good.





Ans .

(d) None of these


  1. Explanation :

    76. d All are victims of subsidies.





Ans .

(a) It has realised that it has to raise the price of petroleum products.


  1. Explanation :

    77. a Deve Gowda’s government has shown some courage when it came to petroleum prices.





Ans .

(a) There's No Such Thing as a Free Lunch.


  1. Explanation :

    78. a The passage is about the fact that ultimately subsidies are not really beneficial.





Ans .

(c) Experts call subsidies the most regressive form of taxation.


  1. Explanation :

    79. c Experts call inflation and not subsides the most regressive form of taxation. Refer paragraph second line 6.



80. Which of the following kinds of cells never have a nuclei?


Ans .

(d) None of these


  1. Explanation :

    80. d They had nuclei in a less differentiated state.





Ans .

(a) been proved to be true.


  1. Explanation :

    81. a The contention has been proved to be true.





Ans .

(c) uninucleate


  1. Explanation :

    82. c There is prevalence of uninucleate cells.





Ans .

(b) To hold hereditary information for the next generation.


  1. Explanation :

    83. b Nuclei of a binucleate cell serve as a source of hereditary information.





Ans .

(d) Cannot be determined from the passage


  1. Explanation :

    84. d The function of the crystalline layer has not been mentioned in the passage.





Ans .

(c) Because it provides a greater area for metabolism reactions


  1. Explanation :

    85. c A lobate form provides a much greater surface area for nuclear cytoplasmic exchanges.





Ans .

(b) Because they frequently lack walls dividing the mycelium.


  1. Explanation :

    86. b Fungi are multinucleate because the cross walls are either absent or irregularly present.



87. Which of the following is not a vice attributed to the poor by the rich?


Ans .

(b) Drug addition


  1. Explanation :

    87. b Drug addiction has not been mentioned as a reason for poverty.





Ans .

(c) Extraordinary talents


  1. Explanation :

    88. c Such people need extraordinary talent to become rich





Ans .

(d) Ambitious people


  1. Explanation :

    89. d Ambitious people have not been mentioned as the ones likely to get rich quickly.





Ans .

(c) Because there are no standards by which to judge good or bad in relation to money.


  1. Explanation :

    90. c The author says that there is no way by which to judge the goodness or badness of a person.





Ans .

(b) The present system of distribution of wealth is biased in favour of the rich.


  1. Explanation :

    91. b He rejects the notion that the wealth is distributed according to merit and feels that it is biased in favour of the rich.





Ans .

(c) a letter to someone


  1. Explanation :

    92. c The author refers to someone as ' intelligent lady' implying that he is probably writing to someone.





Ans .

(a) extravagance.


  1. Explanation :

    93. a 'Improvidence' means spending too much of money.





Ans .

(b) prove that in this day and age might always scores over religion and love.


  1. Explanation :

    94. b The example proves that might scores over love and religion.



95. Why does the author probably say that the sole personality who stands out in the elections is T.N.Seshan?


Ans .

(c) Because all the other candidates do not have his charisma.


  1. Explanation :

    95. c He has been referred to as the umpire, and the passage also mentions the assertiveness being shown by the Election Commission regarding code of conduct during the elections.





Ans .

(b) The Country's Issue-less Elections.


  1. Explanation :

    96. b The passage is about an issue-less election, as highlighted even by the last sentence of the passage.





Ans .

(d) Ramakrishna Hegde


  1. Explanation :

    97. d Ramakrishna Hegde's involvement in any alleged corruption case has not been mentioned in the passage.





Ans .

paste_right_option


  1. Explanation :

    98. d All the parties have failed to submit audited returns every year.





Ans .

(a) Greater awareness on the part of the general public.


  1. Explanation :

    99. a The greater awareness among the public has not been credited with the changes coming in the system.





Ans .

(b) The empowerment of women


  1. Explanation :

    100. b The empowerment of women has not been mentioned as a possible issue of the elections.



101. What is the percentage increase in investment of B, C, D and E from year 1 to year 3?


Ans .

(c) 221%


  1. Explanation :

    101. c Amount invested on B, C, D and E in year 1 = 4.6 + 5.8 + 3.11 + 10.6 = 24.11 Amount invested on B, C, D and E in year 3 = 18.7 + 21.2 + 7.7 + 29.8 = 77.4 ∴ Percentage increase = \( \frac{77.4 - 24.11}{24.11} \) * 100 = 221%





Ans .

(b) 19 : 31


  1. Explanation :

    102. b Company E’s investment for years 1 to 3 = 10.6 + 17.4 + 29.8 = 57.8 Company F’s investment for years 1 to 3 = 7.8 + 25.3 + 60.1 = 93.2 ∴ Ratio = 57 : 93 = 19 : 31





Ans .

(c) 7.4%


  1. Explanation :

    103. c Total investment in year 2 = 6.7 + 7.5 + 12.5 + 5.6 + 17.4 + 25.3 = 75 D’s contribution in year 2 = 5.6 ∴ Percentage contribution = \( \frac{5.6}{75} \) = 7.4%





Ans .

(d) None of these


  1. Explanation :

    104. d As we can see from the table, none of the investments increases from year 1 to 3. Hence, none of these.





Ans .

(b) 81%


  1. Explanation :

    105. b In year 2, A + B + C = 6.7 + 7.5 + 12.5 = 26.7 D + E + F = 5.6 + 17.4 + 25.3 = 48.3 Percentage difference = \( \frac{48.3-26.7}{26.7} \) = 80.8% ≈ 81%





Ans .

(b) 8 and 0


  1. Explanation :

    106. b For the number to be divisible by 9, the sum of the digits should be a multiple of 9. We find that the sum of all the digits (excluding A and B) = (7 + 7 + 4 + 9 + 5 + 8 + 9 + 6) = 55. The next higher multiple of 9 is 63 or 72. Hence, the sum of A and B should either be 8 or 17. We find that (a) and (c) cannot be the answer. For a number to be divisible by 8, the number formed by its last three digits should be divisible by 8. The last three digits are 96B. The multiples of 8 beginning with 96 are 960 and 968. Hence, B can either be 0 or 8. Both of which satisfy our requirement of the number being divisible by 9 as well. Therefore, A and B could either be 0 and 8 or 8 and 0 respectively.





Ans .

(a) 1 ≤ x ≤ 2


  1. Explanation :






Ans .

(a) 2


  1. Explanation :

    108. a If there is a shop at C, all A, B, C and D are within 2 km range. Another shop is needed for E. Hence, 2 shops are required.






Ans .

(a) 1


  1. Explanation :

    109. a If there is a shop at C; all A, B, D and E are within 3 km range. Hence, 1 shop is required.






Ans .

(b) 8


  1. Explanation :

    110. b Since each side of the smaller cube is 3 cm, it can be figured out that each face of the original cube is divided into 4 parts, or in other words, the original cube is divided into 64 smaller cubes. For a smaller cube to have none of its sides painted, it should not be a part of the face of the original cube (i.e. none of its faces should be exposed). We can find at the centre of the original cube there are (2 × 2 × 2) = 8 such cubes.


    Hint: Students please note that the answer can only be a cube of some integer. The only cube among the answer choices is (2)^3 = 8.





Ans .

(a) 15°


  1. Explanation :






Ans .

(a) 20%


  1. Explanation :






Ans .

(c) 3 : 1


  1. Explanation :






Ans .

(c) Re. 0.1


  1. Explanation :


    As it can be seen from the diagram, because of the thickness of the wall, the dimensions of the inside of the box is as follows: length = (21 – 0.5 – 0.5) = 20 cm, width = (11 – 0.5 – 0.5) = 10 cm and height = (6 – 0.5) = 5.5 cm. Total number of faces to be painted = 4 walls + one base (as it is open from the top). The dimensions of two of the walls = (10 × 5.5), that of the remaining two walls = (20 × 5.5) and that of the base = (20 × 10). So the total area to be painted = 2 × (10 × 5.5) + 2 × (20 × 5.5) + (20 × 10) = 530 cm2. Since the total expense of painting this area is Rs. 70, the rate of painting = \( \frac{70}{530} \) = 0.13 = Re. 0.1 per sq.cm. (approximately).





Ans .

(d) 70


  1. Explanation :

    115. d M(M(A(M(x, y), S(y, x)), x), A(y, x)) = M(M(A(M(2, 3), S(3, 2)), 2), A(3, 2)) = M(M(A((2x3), (3 - 2)), 2), A(3, 2)) = M(M(A(6, 1), 2), A(3, 2)) = M(M((6 + 1), 2), (3 + 2)) = M(M(7, 2), 5) = M((7 × 2), 5) = M(14, 5) = (14 × 5) = 70.





Ans .

(b) ab


  1. Explanation :






Ans .

(c) Rs. 1 lakh


  1. Explanation :

    117. c Let the original weight of the diamond be 10x. Hence, its original price will be k(100x2) . . . where k is a constant. The weights of the pieces after breaking are x, 2x, 3x and 4x. Therefore, their prices will be kx^2, 4kx^2, 9kx^2 and 16kx^2. So the total price of the pieces = (1 + 4 + 9 + 16)kx^2 = 30kx^2. Hence, the difference in the price of the original diamond and its pieces = 100kx2 – 30kx^2 = 70kx^2 = 70000. Hence, kx^2 = 1000 and the original price = 100kx2 = 100 × 1000 = 100000 = Rs. 1 lakh.





Ans .

(c) divisible by 24 always


  1. Explanation :

    118. c n(n2 – 1) = (n – 1)n(n + 1). If you observe, this is the product of three consecutive integers with middle one being an odd integer. Since there are two consecutive even numbers, one of them will be a multiple of 4 and the other one will be a multiple of 2. Hence, the product will be a multiple of 8. Also since they are three consecutive integers, one of them will definitely be a multiple of 3. Hence, this product will always be divisible by (3 × 8) = 24. Hint: Students, please note if a number is divisible by 96, it will also be divisible by 48 and 24. Similarly, if a number is divisible by 48, it will always divisible by 24. Since there cannot be more than one right answers, we can safely eliminate options (a) and (b).





Ans .

(b) 30 sq. cm


  1. Explanation :

    119. b The radius of the circle is 6.5 cm. Therefore, its diameter = 13 cm and AB = 13 cm. Since the diameter of a circle subtends 90° at the circumference, ∠ACB = 90°. So ∆ACB is a right-angled triangle with AC = 5 cm, AB = 13 cm. Therefore, CB should be equal to 12 cm (as 5-12-13 form a Pythagorean triplet). Hence, the area of the triangle = \( \frac{1}{2} \) × AC × CB = \( \frac{1}{2} \) × 5 × 12 = 30 sq.cm.





Ans .

(b) Rs. 75,000


  1. Explanation :

    120. b Total expense incurred in making 1,500 watches = (1500 x 150) + 30000 = Rs. 2,55,000. Total revenue obtained by selling 1,200 of them during the season = (1200 × 250) = Rs. 3,00,000. The remaining 300 of them has to be sold by him during off season. The total revenue obtained by doing that = (300 × 100) = Rs. 30,000. Hence, total revenue obtained = (300000 + 30000) = Rs. 3,30,000. Hence, total profit = (330000 – 255000) = Rs. 75,000.





Ans .

(b) 700


  1. Explanation :

    121. b From the previous solution, we can see that the total expense incurred by him in manufacturing 1,500 watches = Rs.2,55,000. In order to break-even, he has to make a minimum revenue in order to recover his expenditure. He gets Rs. 250 per watch sold and Rs. 100 on every watch not sold. Let him sell x watches to break-even. So our equation will be 250x + 100(1500 – x) = 255000. Solving this, we get x = 700 watches.





Ans .

(a) 10


  1. Explanation :

    122. a Since I paid Rs. 20 and because of lack of change, the clerk gave me Rs. 3 worth of stamps, it can be concluded that the total value of the stamp that I wanted to buy is Rs. 17. Since I ordered initially a minimum of 2 stamps of each denominations, if I buy exactly 2 stamps each, my total value is 2(5 + 2 + 1) = Rs. 16. The only way in which I make it Rs. 17 is buying one more stamp of Re 1. Hence, the total number of stamps that I ordered = (2 + 2 + 3) = 7. In addition, the clerk gave me 3 more. Hence, the total number of stamps that I bought = (7 + 3) = 10 (viz. 2 five-rupee, 2 two-rupee and 6 one-rupee stamps).





Ans .

(c) 3 cm


  1. Explanation :






Ans .

(b) Rs. 41






Ans .

(a) 28






Ans .

(b) \( \frac{2}{3} \)


  1. Explanation :






Ans .

(b) \( \frac{15}{7} \)


  1. Explanation :






Ans .

(d) None of these


  1. Explanation :







Ans .

(d) None of these


  1. Explanation :






Ans .

(b) 62.5%


  1. Explanation :

    130. b Let us look at the two equations. Let (5 pens + 7 pencils + 4 erasers) cost Rs. x. Hence, (6 pens + 14 pencils + 8 erasers) will cost Rs. 1.5x. Had, in the second case, Rajan decided to buy 10 pens instead of 6, the quantity of each one of them would have doubled over the first case and hence it would have cost me Rs. 2x. So (10 pens + 14 pencils + 8 erasers) = Rs. 2x. Now subtracting the second equation from the third, we get 4 pens cost Rs. 0.5x. Since 4 pens cost Re 0.5x, 5 of them will cost Re 0.625x. This is the amount that I spent on pens. Hence, fraction of the total amount paid = 0.625 = 62.5%.





Ans .

(d)Chinmay \( \frac{1}{16} \) mile


  1. Explanation :

    131. d In a mile race, Akshay can be given a start of 128 m by Bhairav. This means that Bhairav can afford to start after Akshay has travelled 128 m and still complete one mile with him. In other words, Bhairav can travel one mile, i.e. 1,600 m in the same time as Akshay can travel






Ans .

(d) 3 : 4


  1. Explanation :






Ans .


  1. Explanation :







Ans .

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  1. Explanation :






Ans .

(a) 4


  1. Explanation :

    135. a The team has played a total of (17 + 3) = 20 matches. This constitutes \( \frac{3}{2} \) of the matches. Hence, total number of matches played = 30. To win \( \frac{4}{3} \) of them, a team has to win 22.5, i.e. at least win 23 of them. In other words, the team has to win a minimum of 6 matches (since it has already won 17) out of remaining 10. So it can lose a maximum of 4 of them. .PNG">





Ans .

(c) +4%


  1. Explanation :

    136. c This can simply be solved by multiplying the two multiplication factors to get the effective multiplication factor. E.g. multiplication factor for 30% increase = 1.30. Multiplication factor for 20% decrease = 0.8. Hence, 1.30 × 0.8 = 1.04. This multiplication factor (i.e. 1.04) indicates that there is a 4% increase in total revenue. So the answer is +4%.





Ans .

(d) are concurrent


  1. Explanation :

    137. d 2X + 3Y – 5 = 0 ...(i) 5X – 7Y + 2 = 0 ...(ii) 9X – 5Y – 4 = 0 ...(iii) Solving (i) and (ii) we get x = 1, y = 1 Solving (ii) and (iii) we get x = 1, y = 1 The above lines are passing through a common point. Hence, the lines are concurrent.





Ans .

(b) 160


  1. Explanation :






Ans .

(b) 13 min 50 s lost


  1. Explanation :






Ans .

(b) (–)1


  1. Explanation :






Ans .

141. (c) 100






Ans .

(d) None of these






Ans .

(b) 20






Ans .

(c) 80






Ans .

(b) 20






Ans .

(b) Rs. 168 lakh


  1. Explanation :






Ans .

(a) 75%


  1. Explanation :






Ans .

(d) 1992


  1. Explanation :






Ans .

(d) 1992


  1. Explanation :






Ans .

(b) Rs. 82 lakh


  1. Explanation :






Ans .

(a) 2.53


  1. Explanation :






Ans .

(d) MAC


  1. Explanation :






Ans .

(c) 18.7


  1. Explanation :






Ans .

(d) Data insufficient


  1. Explanation :

    154. d From the data that is given, we cannot say anything about the price of coffee for the companies among others.





Ans .

(b) 32%


  1. Explanation :






Ans .

(b) 150%


  1. Explanation :






Ans .

(a) Rs. 1,40,000


  1. Explanation :

    157. a As given in the previous question, it can be seen that the coding stage is now completed in 6th, 7th and 8th months. Number of people employed in the 6th month is 4 and in the 8th month is 5. In the 7th month also there are 5 people employed (from previous data). Hence, if we were to combine these months, we find that the total cost incurred in the coding stage = (5 + 5 + 4) × 10000 = Rs.1,40,000.





Ans .

(b) Rs. 60,000


  1. Explanation :






Ans .

(d) Design


  1. Explanation :






Ans .

(c) 11-15


  1. Explanation :

    160. c If we look at the above table again, it is clear that the average cost for 5 consecutive month period is lowest for months 11 to 15.





Ans .

(d) 18%


  1. Explanation :






Ans .

(b) 47%


  1. Explanation :






Ans .

(b) Chemical


  1. Explanation :






Ans .


  1. Explanation :






Ans .

(a) Rs. 9,850 crore


  1. Explanation :






Ans .

(a) September


  1. Explanation :

    166. a By observation gap between the Cost and the Sales is the highest in September. Thus, the highest profit is recorded in September.





Ans .

(d) May


  1. Explanation :

    167. d By observation difference between the Cost in March and May is the highest. Thus, in May total increase in Cost is the highest as compared to two months ago.





Ans .

(d) May


  1. Explanation :

    168. d By observation difference between the Cost in March and May is the highest. Also, the Sales in March is less as compared to the following months. Thus, in May percentage increase in sales two months before the highest.





Ans .

(d) March


  1. Explanation :

    169. d By observation increase in the number of employees from January to March is the less than the increase in profit from January to March. Thus, profit per employee is the highest in March.





Ans .

(b) 5,000


  1. Explanation :

    170. b From January to November the number of employees that company takes = (16 – 11) × 1000 = 5000.





Ans .

(c) 750


  1. Explanation :






Ans .

(d) 80%


  1. Explanation :






Ans .

(c) 15.9%


  1. Explanation :






Ans .

(d) Cannot be determined


  1. Explanation :

    174. d As we don’t have any information about the average monthly salary offered to ‘Others’, we cannot determine the answer.





Ans .

(b) Rs. 33.8 lakh


  1. Explanation :


    (b) Difference in the amount earned = 253 × 7550 – 231 × 7050 = 1910150 – 1628550 = Rs. 2.81 lakh per month = Rs. 33.8 lakh per annum.





Ans .

I. The front wheel rotates ‘N’ times more than the rear wheel over this distance


  1. Explanation :

    176. a None of the statements is useful in finding the radius of the rear wheel. In the question, distance travelled is given. But the number of rotations taken by it is not given.





Ans .

I. The ratio of liquid A to liquid B in the first and second vessel is 3 : 5, 2 : 3 respectively


  1. Explanation :

    177. a Given that containers are in equal volume, that does not mean that quantities in each container are in equal volumes. Since we do not know the quantity of the liquid, we cannot find the ratio of the final mixture





Ans .

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  1. Explanation :

    178. d This question can be answered by using the two statements. Given (a – b + c) > (a + b – c). It is nothing but is (–b + c) > (b – c). Since b is negative and c is positive, ⇒ c > b Using both statements: c > 0 b < 0 c > b So always (a – b + c) > (a + b – c).





Ans .

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  1. Explanation :

    179. d Using statement II, 2αβ = \( \frac{c}{a} \)= αβ ⇒ α = 0 or β = 0 or α and β = 0 Hence, the question cannot be answered.





Ans .

I. After selling the article, a loss of 25% on cost price is incurred.


  1. Explanation :

    180. a Both the statements are telling the same, that selling price is 75% of cost price. So we cannot determine the actual cost of the article.





Ans .

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  1. Explanation :

    181. c By using statement II we can determine the selling price of the article. Selling price = 1.25 × 250 = Rs. 312.50 But by using statement I we cannot determine the selling price.





Ans .

I. There are 16 coplanar, straight lines.


  1. Explanation :

    182. a The question cannot be answered until and unless number of concurrent lines are known.





Ans .

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  1. Explanation :

    183. d Both the statements are needed to answer the questions. Since in statement I all the dates are given except the time to compound the interest. That date is given in the second statement.





Ans .

I. Sachin is 11 years younger than Anil whose age will be a prime number in 1998.


  1. Explanation :

    184. a We cannot answer the question using both the statements. Given that Anil’s ages are prime numbers in 1998 and 1996. It is of difference 2. There are so many prime numbers with difference 2. They are (17, 19), (41, 43), … so on. So we cannot find out exact age of Sachin.





Ans .

II. The ratio in which type-1 and type-2 widgets are produced is 2 : 1.


  1. Explanation :

    185. b Consider the statement I: Let number of type-1 widgets = x. Number of type-2 widgets = y. From the given question, x + y = 20000. From statement I, 1.1 x + 0.94y = 20000. So we can get x and y. From statement II, number of type-2 widgets produced \( \frac{1}{3} \) * 20000 = 6667 . The question can be answered by using either of the statements alone.