Sol_CMATSPNOV_1.pdf

8/14/2019 Sol_CMATSPNOV_1.pdf

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1) B 11) B 21) B 31) B 41) C 51) C 61) D 71) C 81) A 91) B

2) A 12) D 22) C 32) D 42) B 52) D 62) B 72) A 82) A 92) B

3) D 13) D 23) C 33) B 43) D 53) B 63) B 73) D 83) A 93) B

4) C 14) A 24) C 34) A 44) B 54) C 64) D 74) C 84) A 94) D

5) D 15) B 25) C 35) B 45) A 55) C 65) A 75) D 85) B 95) D

6) D 16) C 26) C 36) D 46) A 56) D 66) A 76) D 86) A 96) C

7) C 17) B 27) B 37) D 47) C 57) D 67) B 77) A 87) C 97) A8) C 18) D 28) A 38) D 48) A 58) A 68) C 78) C 88) B 98) B

9) B 19) A 29) A 39) D 49) B 59) B 69) D 79) C 89) A 99) C

10) D 20) D 30) D 40) C 50) A 60) D 70) D 80) B 90) C 100) D

Quantitative Techniques & Data Interpretation1. Option B:Using alligation the ratio of boys : ratio of girls = (69-65.4):(65.4-63) = 3.6:2.4 = 3:22. Option A:Total profit is 2140+3500+3000 = 8640/ Profit % = 8640/240000 = 3.6%.3. Option D:Let the number of students be A and B. (A-20)/(B+20) = 2/3. Similarly (A+20)/(B-20) =

4/1. Solving the two equations we get A = 60 and B = 40.4. Option C:Harishs saving and expenditure on clothes are the same. So his yearly expenditure on

clothes is Rs. 3792. His monthly expenditure on clothes is 3792/12 = Rs. 316.

5. Option D:Multiply the ratio by 30 (LCM of 3,5,6) and we get 10:6:5. 10+6+5=21. So the smallestside = 5/21 x 63 = 15 cms.

6. Option D:Increase in Revenue expenditure = (80-50)/50 = 60%. Increase in Capital Expenditure= (70-30)/30 = 133.33%. So required percentage = (133.33-60)/60 = 122%

7. Option C:One library has 6000. The other can have either 3000 or 12000. In either case it willnot exceed 18000 books. So the question can be answered.

8. Option C:Total volume of the three cube = 3^3 + 4^3 + 5^3 = 216. This will form a cube of side 6.Ratio of the surface areas = 6x3^2 + 6x4^2 + 6x5^2 : 6x6^2 = 25:18.

9. Option B:6 machines in 4 min can produce 1080 bottles. 10 machines in 4 min can produce1080/6 x 10 = 1800 bottles.

10. Option D:Product of the two numbers = HCF x LCM = 6 x 72 = 432. Let the greater number be y.So we get y x y = 432. So y^2 = 144 x 4. So y = 24.

11. Option B:Let the base be 3y. So the other parallel side of the trapezium will be 2/3rdof 3y = 2y.Ratio of the area of triangle and trapezium is x 3y x h / ( x (3y + 2y) x h) = 3/5 = 3:5.

12. Option D:The hands of the clock should meet every 65.4545 mins. But it is meeting every 64minutes. So in 64 ins it will cover 65.4545 mins. So in a day it will cover = 65.4545 x 24 x 60 / 64= 1472.72. It will gain 1472.72-1440 = 32.72 = 32 8/11.

13. Option D:If cost price is being reduced by 10%, then the selling price must also be reduced by10% to keep the profit same. So 10% of SP = 132. So SP = 1320. CP + Profit = SP. CP + 10% ofCP = 1320. So CP = 1200.

14. Option A:Let the number be y. 12% of 15% of y = 7.5% of ?% of y. We get ? = 24.15. Option B:Let cost of washing machine be x and cost of TV be y. From first condition we get 6x +

4y = 98480. From 2ndcondition we get 2x + 14y = 98480. Solving simultaneously we get y =

17905.45.16. Option C17. Option B:Let the CP be 10. So initially the SP is 120 (as profit is 20%). Selling price is got after

10% discount on marked price. So MP x 0.9 = SP. So MP = 120/0.9 = 133.33. Now if we give15% discount SP = MP x 0.85 = 120 x 0.85 = 113.33. So profit is 13.33%.

18. Option D:In 11 days A will work for 6 days and B will work for 5 days. So both of them do 50% ofthe work. So B will be paid half which is 5600 x = Rs. 2800.

19. Option A:2009 has 29.82 inflow out of total inflow of 279.8 during the period which isapproximately 10.5%.

20. Option D:LCM of 18, 48 and 64 is 576. Least number which is not a square and divisible by thethree numbers is 576x2 = 1152.

21. Option B:The difference in their ages is 6 years. Let their ages be 2y and 5y. So 5y-2y=6. We

get y = 2. So their ages 3 years before were 4 and 10. Their ages 3 years hence will be 10 and16 years. So their average age will be (10+16)/2 = 13 years.


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22. Option C:Total ways is (4+3+3)!. Three specific Math book together can be considered as 1 unit.So the 8 units can be arranged in 8! And 3 math book can be arranged in 3! Ways. Probability =8!x3!/10! = 1/15.

23. Option C:CP for Y = 15000x115/100 + 500 = 17250 + 500 = 17750. Profit = 21000-17750=3250.Profit % 3250/17750 = 18%

24. Option C:The data given in the question are CP and discount %. Using statement I alone we canfind the selling price of an article as marked price and discount % is given. With SP and CP wecan find the profit %. Statement I alone is sufficient. In statement II as As SP and his profit % areknown, we can find As CP. As CP will be Traders SP. As we know Traders SP and CP we canfind profit %.

25. Option C:290 is the sum of the 20 consecutive numbers so their average will be 290/20 = 14.5.The average of middle 4 numbers will also be 14.5. So the total of the 4 middle numbers will be14.5 x 4 = 58.

Logical Reasoning26. Option C:F5H, B1T, P9T27. Option B:40% read atleast 2 newspapers then 60% read only 1 paper which is 120 students.

Out of this 40 read only DNA and 50 read only TOI. So (120-40-50=)30 read only HT.28. Option A:2x2+2=6. 6x2-2=10. 10x2+2=22. 22x2-2=42.29. Option A:The scores of the students from highest to lowest is SumaKavitaSudhaMamta

Puja30. Option D:Birthday is after 16thand before 18thso it is 17th.31. Option B:Drawing the direction we get that he is 12 m south and 16 m east of his starting

position. Using Pythagoras theorem for the right angled triangle we get the distance as 20 m.32. Option D: None follows33. Option B: RU, ID, ON34. Option A: S+1=T; U+2=W; N+3=Q; D+4=H35. Option B: The four letters are four consecutive letters in the alphabet.36. Option D: The series is +6^2 , +5^2, +4^2, +3^2, ...

37. Option D:Arrangement is : ACEGIKMOQSUWYZXVTRPNLJHFDB. 17th

from the left is T and 6th

to the left of T is U.

38. Option D: Q is to the South East of R.39. Option D: In choice (a) N is father of m: choice (c) n is the father of q: in choice (b) n is mother of

m who is the father of q who is the husband of p in this case also n is not grandmother of p40. Option C:Arrangement clockwise: D-B-C-E-A-H-G-F41. Option C: READ, DEAR, DARE42. Option B: Sum of the digits is 8.43. Option D44. Option B:None of the conditions are satisfied so the code for each letter is code for the answer. 45. Option A:312/13x2-7+3 = 44.46. Option A:There are 6 cars behind the first car and 6 cars front of the last car when there are 7

cars. Also there is a car in the middle.47. Option C48. Option A:IF 4 marbles are picked by 1stperson there are 6 left. Now whatever the 2ndperson

picks up, 1stperson can pick up as many marbles so that only 1 marble is left. So if 2 ndpicks up 1marble, 1stwill pick up 4 marbles and so on. After this the 2ndperson has to pick up 1 remainingmarble to lose.

49. Option B:There are two possibilities. Either Q is telling the truth or he is lying. If Q is telling thetruth then P belongs to city B and Ps statement is wrong. So P and B belong to the same city i.e.B which contradicts our assumption. Case 2 i.e. Q is from city B satisfies the conditions.

50. Option A:Pick up 1 coin from 1strack, 2 from 2nd, 3 from third and so on. Now total number ofcoins is (1+2+3+ ..=) 55. If all the coins are of 10 gm, the total weight would be 550 gm. If thetotal weight is 549 gm then one 9 gm coin is there and that definitely belongs to rack 1. If it is 548g then there are two 9 gm coins and they belong to rack 2.


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Language comprehension51. Option C:Choice C can be deduced since rise in metal prices is mentioned in the paras the

passage discusses urban mining.52. Option D:The paragraph is a review of a book as it mentions the author (Amos Nur), the book

and that it deals with the effect of earthquakes.53. Option B:Choice B is the Best Summary- the others cover the main points only partially.54. Option C:Choice C is correct. The argument gives the example of one employee to make the

point that employees feel dissatisfied to the point of deciding to quit when they feel they havebeen ignored or an injustice is done to them.

55. Option C:Choice C should have lined up which means to arrange people or things in a row.56. Option D:The paragraph points to the furore created by texting and and links it to the reactions

to other new technologies in history. The penultimate line mentions the short span of time inwhich texting has aroused such reactions. Choice D links to it with a mention of the time periodthe technology has been around. Choice A does not conclude but leads on to further discussion.Choice C is irrelevant as it focuses on the financial angle. Choice B is negative in tone but ismerely the opinion of one person and hence inappropriate to conclude the para Choice D withtime in the penultimate sentence. Thus Choice D

57. Option D:The lines Here is a 100 year story of genetics ------- tells us that it is a review of abook. Choice D58. Option A:The passage says the rise in price was inevitable because if the increase in the price

of steel and cement. Thus A is correct.59. Option B:Choice B summarises the given text most effectively.60. Option D:The speakers argument would be strengthened if some reason is given why salaries

of all teachers should be same. Choice D does this. Choice D.61. Option D:The conclusion in the given argument is that English is essential for development. This

is weakened by an option that shows that development is possible without English. Choice Dpoints to European countries which have developed without English.

62. Option B:Sentence C is obviously the opening sentence. Sentence B elaborates and so follows.Thats because in sentence A tells us why gnats are of no great concern to anyone and so

should follow B. D concludes with the present day importance or lack it of the gnat. Thus, ChoiceB.

63. Option B:Sentence C introduces the topic about eyes and the changes. The idea of change iscarried forward in sentence A which says some of these diseases can be corrected with the useof spectacles. Sentence D beginning with but presents a contrasting idea. Sentence Bconcludes with the idea of early detection. So the correct order is CADB. Choice B.

64. Option D:Fortuitous is a chance happening. To flaunt is to make a display of and has anegative commutation. To flout is to disobey or to ignore. Thus, Choice D

65. Option A:Chaff is to tease or to annoy. Chafe is to feel annoyed. Compliment is to expressapproval or to shower praise upon someone. Thus, Choice A.

66. Option A:Statements B and C are erroneous because these statements do not maintainconsistency in tense. These sentences are in the past tense and hence present perfect should

not be used. Statement D is incorrect as was to rid of the nation represents incorrect use of thephrasal verb rid something of something. The correction is rid the nation of the idea.

67. Option B:Statement A has two errors free difference and one another. The appropriate wordis differentiation which means discrimination. Though statement C has the worddifferentiation,the word that is erroneously used in it. The appropriate pronoun to be used is itwhich refers to concert or unity both of which essentially refer to one idea. Further, one byanother is the appropriateform. one another is used when the action is reciprocated. Choice(2)

68. Option C:Statement C and D are incorrect. In C since we are talking of the last few it should bechecks(plural) . In D the definite article is missing. The correction is blastoff Thus Choice C

69. Option D:Statements A, B and D are incorrect. The error in A is was the first sound to hear thecorrection is was the first sound to be heard. In B the correction is lay listening to it. In D, thecorrection is sprang out of bed. Thus Choice D.


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70. Option D:B-H is the right match since it refers to Chemistry. This is found only in Choice D.Thus Choice D.

71. Option C:In option A, the pronoun their is ambiguous since its function (possessive pronoun) isnot clear whether is refers to tourists or rhinos. Also the consistency of tense is incorrect.Since the sentence begins with A proposal has been the last part should be horns havebeen trimmed.. Thus Choice A is incorrect. Here the usage of if would be incorrect since if isgenerally used in conditional sentence construction, while whether expresses an alternative orpossibility. Thus Option C.

72. Option A:Option B and D are totally irrelevant since they do not relate to the passage. Option Cindicates that self confident tell stories to demonstrate their confidence. However this not whatthe passage conveys. Thus Option A

73. Option D:If we negate Option D, the conclusion that if Untied States children are to do well inmathematics, they must watch less television does nothold. Hence Option D.

74. Option C: The passage talks about not only about effecting a law but also implementing itwithout any prejudice. The second last line to punish those one.power refers to exercising lawwithout bias. Thus, Option C.

75. Option D:To Assuage, Mollify and Palliate mean the same to make better, to pacify. While

Exacerbate is to worsen.Thus Choice D.

General awareness

76. Option D77. Option A78. Option C79. Option C80. Option B81. Option A82. Option A

83. Option A84. Option A85. Option B86. Option A87. Option C88. Option B89. Option A90. Option C91. Option B92. Option B93. Option B94. Option D

95. Option D96. Option C97. Option A98. Option B99. Option C100. Option D

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Sol_CMATSPNOV_1.pdf