proc 2 solution

Proctored Mock CAT-2 2012

�Proctored Mock CAT-2 2012

Answers and Explanations

1 d 2 c 3 a 4 b 5 c 6 d 7 c 8 c 9 b 10 a

11 b 12 c 13 a 14 d 15 c 16 b 17 a 18 b 19 b 20 c

21 c 22 b 23 d 24 b 25 a 26 a 27 d 28 c 29 c 30 d

31 c 32 a 33 a 34 c 35 b 36 a 37 d 38 c 39 c 40 b

41 c 42 d 43 c 44 a 45 c 46 a 47 c 48 d 49 b 50 a

51 d 52 b 53 d 54 c 55 b 56 d 57 a 58 c 59 d 60 c


Section – I

1. d If we pick exactly 4 guavas, 6 mangoes and 7 pearsfrom the basket, then the total number of fruits pickedfrom the basket will be 17.If one more fruit is picked from the basket, irrespectiveof what it is, it can be said that at least 5 guavas orat least 7 mangoes or at least 8 pears have beenpicked from the basket.Hence, required number of fruits = 17 + 1 = 18.

2. c 371

Let x20

=

( ) 37x 2 10 −⇒ = ×

Taking log on both sides,

( )= − +logx 37 log2 log10

( )logx 37 0.3010 1⇒ = − × +

( )logx 37 1.3010⇒ = − ×

logx 48.137⇒ = −

logx 49 0.863 49 0.863⇒ = − + = +Hence, there will be 48 consecutive zeroes immediatelyafter the decimal.

3. a Given, a b c− =Squaring both the sides, we get

2 2 2a b 2ab c+ − = ... (i)

Similarly, |a – c| = |b| ⇒ 2 2 2a c 2ac b+ − = ... (ii)From (i) and (ii), we get

22a 2a(b c)= +

2a(a b c) 0⇒ − − =

a b c⇒ = + (As a 0)≠Now squaring both the sides, we get

2 2 2a b c 2bc= + +

2 2 2b c a 2bc.⇒ + = −

4. bP

Q

O ’

2r

r 2 r

r

R

The common chord will be of the maximum length if it isthe diameter of the smaller circle.

In ∆ PO’Q, PQ = 2r and PO’ = QO’ = 2r, therefore,

∆ PO’Q is an equilateral triangle.Required area (in sq. units) of the shaded region

12

= × Area of smaller circle + Area of segment PRQ

12

= × Area of smaller circle

+ (Area of sector O’PQ – Area of triangle PO’Q)

= 2 2 2 2

2r (2r) 3(2r) 7 r3 r .

2 6 4 6

π π π + − = −

5. c9 x 25

17 y 43< <

43x 17xy

25 9⇒ < <

As ‘x’ increases, the interval in which ‘y’ lies alsoincreases.

For x = 1, 2 and 3, the intervals in which y lies are

18 81 , 1

25 9

,11 7

3 , 325 9

and 4 2

5 , 525 3

respectively.

None of these pairs contains an integer betweenthem.

For x = 4, the interval in which y lies is 22 5

6 , 725 9

and

7 lies in the interval.Hence, the minimum possible value of y is 7.

6. d From statement A: It can be found out that theterms are 3, 9, 27, 81 and 243. But we don’t knowwhether the geometric progression is a decreasingone or an increasing one i.e. whether the commonratio is 1/3 or 3. So the first term cannot be determined.

From statement B: Nothing can be concluded aboutthe terms of the geometric progression.

From statements A and B: We still cannot determinethe first term of the G.P.

7. c Fund allocated for Gifts= 18% of �5,76,919 ≈ �1,03,840Fund allocated for Gifts other than the Diwali gifts= 35% of �1,03,840 ≈ �36,340Total expenditure on Gifts= 18% of �3,50,919 ≈ �63,165Total expenditure on Gifts other than the Diwali gifts= 30% of 63,165 ≈ �18,950Required difference ≈ �17,400.


8. c Total expenditure on Travel, Gifts and Food= 55% of �3,50,919 ≈ �1,93,000Fund allocated for Food and Entertainment= 33% of �5,76,919 ≈ �1,90,400So we can see that the fund allocated for Food andEntertainment was approximately equal to the totalexpenditure on Travel, Gifts and Food.

9. b Let the three-digit number be ABC.

Case I: A = 1For each of B and C, there are two possibilities.Total possibilities = 2 × 2 = 4.

Case II: A = 2Had there been one extra ‘1’, for each of B and C,there would have been three possibilities.Total possibilities in that case = 3 × 3 = 9.As there is only one ‘1’, B and C both can’t be 1 at thesame time i.e. 211 is not possible.Hence, required possibilities = 9 – 1 = 8

Total number of possible distinct three digit numbers

= 4 + 8 = 12.

10. a Let �P be invested at r% per annum at simple interest.As the sum becomes ‘k’ times in 30 years, interestobtained in 30 years is (k – 1) P.

Therefore, P r 30(k – 1) P

100× × = ×

10k – 3r = 10⇒Possible solutions of the above equation are:

k 4 7 10 13 16

r 10 20 30 40 50

Therefore, ‘k’ can assume 5 different values.In order to realize the maximum amount, rate of interestshould be 50%.

Required sum 3=12340 (1.5) 41,647.50.× = �

11. b

O

A

B CD

E

2 2 2AC AB BC= +2 2 2AC 2 2⇒ = +

AC 2 2 cm⇒ =Since incircle of an isosceles right angled triangletouches the hypotenuse at its midpoint,

AE = CE = 2 cm .

Since the lengths of the tangents drawn from an

external point to a circle are equal, CE = CD = 2 cm .

Hence, BD = BC – CD = (2 2) cm.−

12. c Since the hands of the faulty clock move in theopposite direction as compared to those of a normalclock, it’s like going back in time. Hence, when a normalclock gains 2 hours and 15 minutes, the faulty clockwould lose 2 hours and 15 minutes.Hence, the required time can be calculated bysubtracting 2 hours and 15 minutes from 4:00 a.m.Hence, the correct answer is 1:45 a.m.

13. a

2 feet

16 fee t

25 fee t

50 fee t

A

BC

D

Area of trapezium ABCD

( )12 16 50 450 square feet

2= × + × =

∴ Capacity of the pool

= 450 25 11250 cubic feet.× =

14. d Let the speed of the boat in still water be ‘v’ km/hr andspeed of the stream be ‘u’ km/hr. Therefore,

60 1008

v u v u+ =

− + …(i)

75 17512

v u v u+ =

− + …(ii)

On solving equations (i) and (ii), we getv = 20 and u = 5.∴ Speed of the boat in still water = 20 km/hr.


For questions 15 to 17:Total quantity (in ml) of each ingredient used in preparing onepacket of each type of juice is given below.

Lemon 200 Rose 480

Almond 400 Cardamom 160

Mango 320 Pineapple 240

Vanilla Essence

120

Total quantity (in ml) of ingredients, other than water, used in apacket of each type of juice is given below.

Rose Naturals

Sweet and Sour

Badam Mania

Mixed Juice

Delicious Light Juice

350 450 400 445 275

15. c As nothing is specified regarding the availablequantities of individual ingredients, we can use thequantities of individual ingredients as per ourrequirement, keeping the total quota at 10 liters.Sum of the quantities of the ingredients used inpreparing one packet of each type of juice= Sum of all the values given in the first table= 1920 mlFive packets of juices (one of each type) can beprepared by using 1920 ml of ingredients. Five sets offive such packets of juices can be prepared by using1920 × 5 = 9600 ml of ingredients.Remaining 400 ml should be used in preparing oneadditional packet of Badam Mania, which is the onlyway to fully utilise the remaining quota.

16. b Maximum quantity of each ingredient available

= 10000

1428.6 ml7

≈

While preparing one packet of each type of juice,among the seven ingredients, the maximum quantityused is of Rose i.e. 480 ml.

Now,1428.6

2.976480

≈

Hence, at most 2 packets of each type of juice can beprepared.

17. a Among the five juice types, the least quantity ofingredients is required to prepare Delicious Light Juicei.e. 275 ml.Maximum number of packets that can be prepared

= 10000 1920

5 34.38275

−+ ≈

Hence, 34 packets (30 of Delicious Light Juice and 4others, one of each other type) can be prepared.

18. b Let 4x + 3y = 14k, then xy = 2k and y – 6x = k.On solving the first and the third equations,

we get x = k2

and y = 4k.

⇒ xy = 2k2

As, xy = 2k2 and xy = 2k, we get 2k2 = 2k.

⇒ k = 0 or 1 but k 0≠ , therefore, k = 1.Hence, 2x + y = 1 + 4 = 5.

19. b

( ) ( )( ) ( )

6 6

3 32 2

32 2 2 2 2 2

sin cos

sin cos

sin cos 3sin cos sin cos

θ + θ

= θ + θ

= θ + θ − θ × θ θ + θ

( )22 23 31 4sin cos 1 sin2

4 4= − × θ × θ = − θ

The value of 6 6sin cosθ + θ will be minimum when the

value of sin2θ is maximum. The maximum value of

sin2 1θ = .

Hence, the answer = 3 11 .

4 4− =

20. c If AB

is always a terminating decimal, then B can

either be 1 or can have only two prime factors i.e. 2and 5. The possible values of B are 1, 2, 4, 5, 8, 10, 16,20, 25, 32, 40, 50, 64 and 80, i.e. 14 values in all.

21. c Let 'x' cm be the length of the side of the square and'd' cm be the diameter of the circle. Then,

2 2 2x x d+ =

22x 40000

x 100 2

4x 400 2

⇒ =

⇒ =

⇒ =

Hence, perimeter of the square is approximately565.6 cm.


For questions 22 and 23:Let the number of people who used to speak only Urdu be ‘a’,Urdu and Hindi but not Santhali be ‘b’, and Urdu and Santhalibut not Hindi be ‘c’. The data can be expressed in the form ofa Venn diagram as shown below.

1620 - b750

270

a + b - 390

a

b c

Santha liH ind i2640

U rdu

22. b The number of people who used to speak none of thethree languages= 5140 – [2640 + a + c + (a + b – 390)]= 2890 – (2a + b + c)The number of people who used to speak only Santhalishould be greater than or equal to zero,

i.e. a b 390 0+ − ≥⇒ a b 390+ ≥Similarly, c 0.≥In order to maximize the value of the required quantity,we should take a = 0, b = 390 and c = 0.Hence, the maximum possible number of people whodid not speak any of the three languages= 2890 – ( 2a + b + c)= 2890 – (2 × 0 + 390 + 0)= 2500.

23. d We have, a < 1620 – b ⇒ a + b < 1620The number of people who used to speak only Santhali= a + b – 390Since maximum value of (a + b) = 1619, the maximumvalue of (a + b – 390)= 1619 – 390 = 1229.

24. b Let the initial quantities (in ml) of alcohol and vinegarin the mixture be 60x and 40x respectively. Let thequantities (in ml) of alcohol and vinegar evaporatedin the first 10 minutes be 5y and 3y respectively.

60x – 5y 1y = 10x

40x – 3y 1= ⇒ …(i)

Remaining quantity of alcohol = 60x – 5y = 10xRemaining quantity of vinegar = 40x – 3y = 10xLet the total time required to achieve the desired resultafter 12:28 p.m. be ‘t’ minutes.Quantity of alcohol and vinegar evaporated in ‘t’

minutes is 5y

t10

× and 3y

t10

× respectively.

Therefore,

t 5y10x – 210

t 3y 310x – 10

×

=×

10t =

9⇒

Required time = 12:28 p.m. + 1.11 minutes. Hence, thedesired result must have been achieved approximatelyat 12:29 p.m.

25. a Let the original volume of the raindrop be 'x' ml.Therefore, initial volume of water in the raindrop willbe 0.75x ml.Remaining volume of water after evaporation= (0.75x – 2) mlRemaining volume of water is 70% of (x – 2) ml.

0.75x 2 (x 2) 0.7∴ − = − ×

⇒ x = 12

For questions 26 to 28:The data given in the graphs is shown below in a tabulatedformat. (Number of garments are in ‘000 units.)

January February March April May

Formals 60 32 80 64 50

Casuals 300 256 256 256 400

360 288 336 320 450

Formals 120 52 84 75 108

Casuals 60 20 42 125 72

180 72 126 200 180Total

Month

Selected

Total

Rejected

26. a Total number (in '000 units) of Formal garmentsproduced in the five months= 60 + 32 + 80 + 64 + 50 + 120 + 52 + 84 + 75 + 108= 725.

27. d The number of Casual garments selected was equalin the months of February, March and April.

28. c The number of Casual garments rejected as a per-centage of the total number of garments rejected wasthe highest in April and was equal to

125100 62.5%.

200× =


29. c The graph of f(x) is shown below.

–2

–1

x

y

–1

–3

–4

1 2

We can see from the graph that the minimum value off(x) is –1.

30. d The number finally obtained will be the “digit sum” ofthe original number. It can be directly obtained bydividing the original number by 9 and finding theremainder.

Since remainder35

1 or 8,9

= −

remainder

651

9

=

.

Since factorial of every natural number 3 onwards is

divisible by 6, 1! 2! 3! 12! 13!N 5 + + + + += � can be written as

53 +6k.Hence, the remainder when N is divided by 9 will be 8.

Section – II

31. c The answer can be inferred from these lines inparagraph 2. “... and to the extent that narrativesrelated the deeds of men, proximity to an image ofvirtue or holiness would be considered worthy ofimitation, and distance from it worthy of opprobrium.”In other words if a narrative depicted deeds that werein line with what was considered morally correct orholy it was considered worthy of imitation. The more itdeviated from this the more criticism it incurred. Theauthor states that prior to ‘Don Quixote’ a novel had tomatch the social realities of its time. These realitiesmore often than not correspond to the moral ortheological beliefs prevalent in that time. Option (a),(b) and (d) all are in line with this idea. Option (c) isincorrect according to the passage as the ‘ideal man ‘has not been talked about.

32. a Option (b) can be inferred from these lines in paragraph1. “... shaped our world as well, and did so in waysthat may not be apparent even to those aware of hisenormous literary influence.” Similarly option (d) canalso be found in the first paragraph “...a novel that, inthe words of the great critic Harold Bloom, “containswithin itself all the novels that have followed in itssublime wake.” Option (c) can be found in the lastparagraph.” Cervantes imported into the art of prosenarration a ploy he learned from his favorite art form,the one he most desperately wished to excel at — thetheater.” Option (a) is incorrect as the author statesthat Cervantes biggest contribution is not a new genrebut a new worldview. Refer to these lines in paragraph2 “was not merely a new genre but an implicit worldviewthat would infiltrate every aspect of social life: fiction”

33. a The answer can be inferred on the basis of theselines in paragraph 4 “...reader must be able to occupytwo opposed identities simultaneously: a naïve readerwho believes what he is being told, and a savvy onewho knows it is untrue.” Option (a) works best as itfulfills both these conditions. Consider options (d), (b)and (c), in each case, the protagonist starts believing(empathizing or adopting) the veracity of the ideaagainst his better judgment. In option (a), theprotagonist enjoys the stories but knows that this isnot real.

For questions 34 and 35:From statement (iv), Charu and both her neighbours face inside.From statement (i), Hina sits to the immediate left of Charu aswell as Banu; therefore, we can conclude that Banu must befacing outside. From statement (ii), the person sittingdiametrically opposite Charu faces inside. Therefore, the restof the persons must be facing outside. Also, it is given that Anusits diametrically opposite Hina and the two use the same propi.e. Dafli. The conclusions made thus far can be shown withthe help of a diagram.

FM S, C hunni,Banu

IM T, Da fli,H ina

Dafli, A nu

IM I, Dho lak,Charu


From statement (iii), Goru sits to the immediate left of Anu andmust be facing inside. From statement (v), the only vacantpositions, that are diametrically opposite, must have beenoccupied by Dhanu and Ellu. Now, Fiza from IIMR must besitting immediately to the right of Anu. Further analysis leads tothe final arrangement shown below.

FM S, Chunni,Banu

IIMA , Chunni, Dhanu

IM T, Da fli, H ina

IM I, Dho lak, Charu

IIMS , G oru

C IM P, Da fli, A nu

IIMR, Dholak, F iza

IIFT, Danda, E llu

34. c Fiza, Dholak

35. b 3

36. a Refer to the second paragraph where the author says“rejects the simplifying and reducing process of theaverage man who— puts life away into some snugconception of his mind and age” . The artist faces“experience freshly forever”. The author emphasizesthat for an artist to remain an artist, it is important thathe looks at everything from a fresh perspective andnot from the prejudiced angle that he has been taughtto look from. This ability of looking at everything afreshseparates an artist from a common man. Hence (a) isthe correct answer.

37. d Refer to the third paragraph, where the author saysthat an artist should see criticism as “part of theadventure” of life and understand in it “—theponderable weight of life itself”. Hence (d).All the otheroptions are incorrect as the author has advised toaccept criticism irrespective of its nature and role.According to the author, the artist should acceptcriticism even when it is cruel and impertinent.

38. c Refer to the last paragraph where the author statesthat criticism brings into an artist’s life the ‘world’sgross sources” which he had ignored in his pursuit ofart and creativity— this is both a need and a blessing.Option (a) and (d) are incorrect as the author advisesthe artists to accept criticism in whichever form itcomes. Author believes that criticism is a blessingirrespective of form. The passage does not talk aboutthe changing nature of criticism based on the artist’sability to tackle it. Option (b) is incorrect as the impactof criticism on the artist( in terms of making or breakinghim ) has not been talked about by the passage.

39. c The possible cases are:Earnings: Upashana > Tarun > Ranjan > Sunanda

orUpashana > Tarun > Sunanda > Ranjan

Expenditure: Tarun > Ranjan > Sunanda > Upashana or

Ranjan > Tarun > Sunanda > UpashanaHence, we can say for sure that Sunanda does notspend more than Ranjan and Tarun does not earnmore than Upashana.

40. b The passage states that having a past , any past,went against a candidate and the reason Fujimori wonwas that not much was known about his past. Theauthor states that he was surprised by the fact thatFujimori’s obscurity had helped him win. Option (a) isincorrect because it is not clear if most candidateslived in obscurity. Option (c) is incorrect. The authorstates that it is rare to find a candidate who is sotransparently unmotivated by personal gains. This is ageneral statement made on the nature of politicalcandidates .It is possible that in Peru one may findmore candidates who do not have much to gainpersonally.

41. c Refer to the fourth paragraph, where the author saysthat expanding tertiary education cannot be the meansto economic development; it can be the consequenceof economic development. Which means that tertiaryeducation can be part of a plan made for a countrythat is developed but it does not make much sense fora country that is not developed.

42. d Refer to the fourth paragraph, where the author states“I was convinced that, if Sendero won, there wouldbe another Cambodia in Peru: a tyranny on a muchlarger scale.” Also, in the fifth paragraph the authorstates “He was the object of a grotesque cult ofpersonality.” The author believes that had Senderowon, tyranny would prevail in Peru as it had inCambodia. This means that the author believes thatSendero would have brought with him a regime thatwould be dictatorial in nature. Hence option (d) iscorrect. Author makes an observation about theagronomist as an example and is not bitter/angry aboutit. Hence option (c) is incorrect.

43. c D begins the paragraph, because “It” is not acting asthe pronoun antecedent to any country ororganization mentioned. C follows D as “moreover” isreferring to the conflict or settlement in C.B follows Cas “either side of the conflict” refers to the SinaiPeninsula and Egypt. EA is a mandatory pair.


44. a There is a BDE link that emerges in the paragraph. B isnot an ideal start to the paragraph because it isreferring to an example that is presented. B and D arelinked because B refers to the self-conquest recipeas extreme and D adds to it through a reason. D can’tfollow E because it is opposite to the idea presented inE. Options (b) and (d) can be ruled out. Option (c) canbe ruled out because the contraposition that is referredto in A is not referred to in C. One that can infer that thecontraposition mentioned is linked with D. However,options (b) and (d) have already been ruled out andoption (a) is the answer – the contraposition referredto in A would have been stated in the lines before thesequence.

45. c There is a link between B and C because they bothprovide information on China. B states China’sreasonableness, whereas C comes in with additionalinformation on why this must be so and also on whyChina is in a volatile position. E follows C as it linkswith the volatile nature implied in C. D and A are stronglylinked as A provides the reason for the advice given inD. Option (c) is the answer. D can’t start the sequenceas it refers to the position taken by China – B mustcome in before D in the sequence. Thus option (a) canbe ruled out. Options (b) and (d) can be ruled outbecause of the DA link.

For questions 46 to 48:From statement (vi), positions of Painting and Gymnastics inthe activity column can be fixed. From statement (iii), thosewho participated in Dancing, Singing and Essay Writing mustbe younger to Daksh and hence, the remaining positions in theactivity column will be occupied by Cooking and Debate. Thus,Daksh must have participated in Gymnastics. From statement(v), the youngest sibling must have participated in Dancingand the eldest one in Debate. Crystal and Giresh are the twinsand the two cases possible are shown below.

Activity Case I: Case II: Dancing Eric Eric Singing/ Essay writing Crystal Giresh Painting Giresh Crystal Essay writing/ Singing Foram Foram Gymnastics Daksh Daksh Cooking Bhuvan Bhuvan Debate Anshu Anshu

46. a Painting

47. c Giresh

48. d Daksh

49. b The correct expression is – “killed appetite “. Thismakes option b correct. The sentence is also talking ofa food magazine and so “appetite “fits in. ‘Trenddefining’ also matches the tone of the sentence andthis continues in the ‘gold standard of ———‘. Thismakes option b correct.

50. a Vitiated and desecrated are synonyms forcontaminated but the usage of only contaminated iscorrect here. Atmospheres get vitiated; holy placesdesecrated. ‘Discerning’ is also fitting into the secondblank. It means the knowledgeable eaters.

51. d The paragraph starts with a reference to a quality/strategy that has been mentioned in the previous lines.The emphasis of the paragraph is on the strategy thatVindi Banga used to sell Unilever products to ruralwomen. The penultimate line of the paragraph presentsthe result of the strategy used. The best option wouldbe one that comments on the result or explains it.Option (d) is the best. The scope of the paragraph isrural Indian women and their communities – the ruralconsumer. Vindi Banga is used only as an example.Option (c) discusses emerging markets - there is notenough information on whether this is within the scopeof the paragraph.

52. b The paragraph discusses Mao and the images thatsurrounded him. It ends by stating that while Mao lived,China would be known to be neither especially friendlynor overly hostile. This implies that Mao is no longeralive. The paragraph should ideally end with what hashappened after his death – but in terms of China’sdiplomatic stance. Option (b) completes the paragraphas it indicates ambivalence in Chinese relations/feelings. Option (a) comments on Mao’s lifetime whichis not a logical completion of the passage. Option (c)only comments on Mao’s death but does not link thiswith China’s diplomatic stance. Option (d) discussesgreat foreign leaders and is too general for the scopeof the paragraph.

53. d The paragraph starts with references to the popularityof Indian cuisine in Britain but then moves on to mentionthe lack of awareness on the shared history of thetwo countries. Option (a) can be ruled out because itis weak and does not strongly support the penultimatesentence. The paragraph suggests that not much isremembered about the history between India andBritain with no specific time period indicated – theparagraph also refers to the memory of the sharedrelationship in Britain and not in India. The option itselfis ambiguous on this point. Option (b) is a comment onthe shared history and should appear only when somebackground on the history between Britain and Indiahas been stated. Option (c) is too general and doesnot specifically relate to the penultimate sentence.Option (d) is the answer as it mentions a specificmeasure being taken in Britain to address the collectiveamnesia mentioned in the penultimate sentence.


54. c As Smaran lost the matches against Charak andTanush, he could have won at most two matches.Hence, his maximum score could be 2 + 2 = 4.

55. b Charak’s score = 2 + 2 + 1 + 1 = 6.In order to minimise the absolute difference betweenthe scores of Charak and Tanush, we need to makeTanush’s score as close as possible to 6.Since Tanush lost against Ehsaan, if he won the restof his matches his score would be = 2 + 2 + 2 = 6.However, Tanush couldn’t have won against Charakas Charak did not lose any match. But they could haveplayed a draw which would make Tanush’s score= 2 + 2 + 1 = 5.Required minimum difference = 6 – 5 = 1.

56. d Wear can be used as a noun that describes the factof wearing something (designed for wear). Wear canalso be used to describe the amount or type of usethat something has over a period of time. Wear canalso mean ‘to have something on your body as a pieceof clothing, a decoration, etc. or to have your hair in aparticular style; to have a beard or moustache. Wearoff means fading out or slowly reducing. The correctsentence (d) should be “You’re wearing well—only afew grey hairs!” wear well means to stay in goodcondition/health.

57. a The correct sentence should be “I need the up-to-datesales figures but I can never pin him down at theoffice.” To pin someone down means to find somebodyand make them answer a question or tell you somethingyou need to know. In golf, a pin is a stick with a flag ontop of it, placed in a hole so that players can seewhere they are aiming for. Pin is also used for aperson’s legs. for two pins is an idiom that is used tosay that you would like to do something, even thoughyou know that it would not be sensible.

58. c It’s given that Dev got into IIMS and Amitav got into IITB.Since Charu was good at VA/RC she couldn’t havegot into IIMK. Hence, Bhavna must have joined Gamaand got into IIMK.

59. d In statement 1, articles ‘a’ and ‘the’ should come beforesenior lecturer and 1970s respectively. The correctform should be “In the 1970s, when I was a seniorlecturer at Birmingham University,” In sentence 3,accommodation is incorrectly spelled. Statements 2and 4 are correct.

60. c “Bone of contention” in statement (b) is a phrase whichmeans “a subject of dispute”. This dispute is referredto in (d). Statement (a) takes forward the example ofchina and should come after (b).In statement (c), thepronoun “this” needs an antecedent which is notprovided by any other statement. ‘The games of ruleare established’ also has no reference in any othertext. Hence correct option is statement (c).

proc 2 solution

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