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SECTION-I

SubSection I-A: Number of Question = 10Note: Q. 1 to 10 carry one mark each.

Directions for Questions 1 to 5: Answer thequestions independently of each other.

1. 1. If x = (163 + 173 + 183 + 193), then xdivided by 70 leaves a remainder of

a. 0b. 1c. 69d. 35

2. A chemical plant has four tanks (A, B, C,and D), each containing 1000 litres of achemical. The chemical is being pumpedfrom one tank to another as follows:

From A to B @ 20 litres/minute

From C to A @ 90 litres/minute

From A to D @ 10 litres/minute

From C to D @ 50 litres/minute

From B to C @ 100 litres/minute

From D to B @ 110 litres/minute

Which tank gets emptied first, and howlong does it take (in minutes) to get emptyafter pumping starts?

a. A, 16.66b. D, 20c. C, 20d. D, 25

3. Two identical circles intersect so that theircenters, and the points at which theyintersect, form a square of side 1 cm. Thearea in sq. cm of the portion that is

common to the two circles is:a. /4b. /2 - 1c. /5d. - 1

4. A jogging park has two identical circulartracks touching each other, and arectangular track enclosing the two circles.The edges of the rectangles are tangentialto the circles. Two friends, A and B, start

jogging simultaneously from the pointwhere one of the circular tracks touches

the smaller side of the rectangular track. Ajogs along the rectangular track, while Bjogs along the two circular tracks in afigure of eight. Approximately, how muchfaster than A does B have to run, so thatthey take the same time to return to theirstarting point?

a. 3.88%b. 4.22%c. 4.44%d. 4.72%

5. In a chess competition involving someboys and girls of a school, every studenthad to play exactly one game with everyother student. It was found that in 45games both the players were girls, and in190 games both, were boys. The numberof games in which one player was a boyand the other was a girl is:

a. 200b. 216c. 235d. 256

Directions for Questions 6 and 7: Answer thequestions on the basis of the information givenbelow.

Ram and Shyam run a race between points A andB, 5 km apart. Ram starts at 9 a.m. from A at aspeed of 5 km/hr, reaches B, and returns to A atthe same speed. Shyam starts at 9:45 a.m. from Aat a speed of 10 km/hr reaches B and comes backto A at the same speed.

6. At what time do Ram and Shyam firstmeet each other?

a. 10a.m.b. 10:10a.m.c. 10:20a.m.d. 10:30a.m.

7. At what time does Shyam overtake Ram?a. 10:20 a.m.b. 10:30 a.m.c. 10:40 a.m.

CAT Paper-2005


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d. 10:50 a.m.Directions for Questions 8 to 10: Answer thequestions independently of each other.

8. If

65 65

64 64

30 29

30 29R

, then:

a. 0 < R 0.1b. 0.1 < R 0.5c. 0.5 < R 1.0d. R > 1.0

9. What is the distance in cm between twoparallel chords of lengths 32 cm and 24 cmin a circle of radius 20 cm?

a. 1 or 7b. 2 or 14c. 3 or 21d. 4 or 2810. For which value of k does the followingpair of equations yield a unique solutionfor x such that the solution is positive?

x2 - y2 = 0

(x - k)2 + y2 = 1.

a. 2b. 0c. 2d. - 2

Sub-section I-B Number of questions 20Note: Questions 11 to 30 carry two marks each.

Directions for Questions 11 to 30: Answer thequestions independently of each other.

11. Let n! = 123.... n for integer n3 1. If p= 1! + (22!) + (33!) +.......+ (1010!).then p + 2 when divided by 11! leaves aremainder of

a. 10b. 0c. 7d. 1

12. Consider a triangle drawn on the X - Yplane with its three vertices at (41, 0),(0,41) and (0, 0), each vertex beingrepresented by its (X, Y) coordinates. Thenumber of points with integer coordinatesinside the triangle (excluding all the pointson the boundary) is

a. 780

b. 800c. 820d. 741

13. The digits of a three-digit number A arewritten in the reverse order to form anotherthree-digit number B. If B > A and B - Ais perfectly divisible by 7, then which of

the following is necessarily true?a. 100 < A < 299b. 106 < A < 305c. 112 < A < 311d. 118 < A < 317

14. If a1 = 1 and an+1 - 3an + 2 = 4n for everypositive integer n, then a a100 equals

a. 399 200b. 399 + 200c. 3100 200d. 3100 + 200

15. Let S be the set of five-digit numbersformed by the digits 1, 2, 3, 4 and 5, usingeach digit exactly once such that exactlytwo odd positions are occupied by odddigits. What is the sum of the digits in therightmost position of the numbers in S?

a. 228b. 216c. 294d. 192

16. The rightmost non-zero digit of thenumber 302720 isa. 1b. 3c. 7d. 9

17. Four points A, B, C, and D lie on a straightline in the X - Y plane, such that AB = BC= CD, and the length of AB is 1 metre. Anant at A wants to reach a sugar particle atD. But there are insect repellents kept atpoints Band C. The ant would not gowithin one metre of any insect repellent.

The minimum distance in metres the antmust traverse to reach the sugar particle is

a. 32b. 1 + c. 4/3d. 5

18. if x y and y > 1, then the value of theexpression logx (x/y) + logy (y/x) cannever be

a. -1


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b. -0.5c. 0d. 1

19. For a positive integer n, let Pn denote theproduct of the digits of n, and Sn denotethe sum of the digits of n. The number ofintegers between 10 and 1000 for which

Pn + Sn n isa. 81b. 16c. 18d. 9

20. Rectangular tiles each of size 70 cm by 30cm must be laid horizontally on arectangular floor of size 110 cm by 130cm, such that the tiles do not overlap. Atile can be placed in any orientation solong as its edges are parallel to the edgesof the floor. No tile should overshoot anyedge of the floor.

The maximum number of tiles that can beaccommodated on the floor is

a. 4b. 5c. 6d. 7

21. In the X - Y plane, the area of the regionbounded by the graph of |x+y| + |x-y|-4 is

a. 8b. 12c. 16d. 20

22. In the following figure, the diameter of thecircle is 3 cm. AB and MN are twodiameters such that MN is perpendicular toAB. In addition, CG is perpendicular toAB such that AE : EB = 1 : 2, and DF isperpendicular to MN such that NL LM =1:2. The length of DH in cm is

a. 2 2 1 b. 2 2 1

2

c. 3 2 12

d. 2 2 13

23. Consider the triangle ABC shown in thefollowing figure where BC = 12 cm, DB =

9 cm, CD = 6cm and BCD = BAC.

What is the ratio of the perimeter of thetriangle ADC to that of the triangle BDC?

a. 7/9b. 8/9c. 6/9d. 5/9

24. P, Q, S, and R are points on thecircumference of a circle of radius r, suchthat PQR is an equilateral triangle and PSis a diameter of the circle. What is theperimeter of the quadrilateral PQSR?

a. 2r(1 + 3)b. 2r(2 + 3)c. r(1 + 5)d. 2r + 3

25. Let S be a set of positive integers such thatevery element n of S satisfies theconditions

A. 1000 n 1200B. every digit in n is oddThen how many elements of S aredivisible by 3?

a. 9b. 10c. 11d. 12

26. Let 3 ,PQ r to infinity. Then x equalsa. 3b. (13 - 1)/2c. (13 + 1)/2d. 13

27. Let g(x) be a function such that g(x + 1) +g(x - 1) = g(x) for every real x. Then forwhat value of p is the relation g(x + p) g(x)necessarily true for every real x?

a. 5


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b. 3c. 2d. 6

28. A telecom service provider engages maleand female operators for answering 1000calls per day. A male operator can handle40 calls per day whereas a female operator

can handle 50 calls per day. The male andthe female operators get a fixed wage ofRs. 250 and Rs. 300 per day respectively.In addition, a male operator gets Rs. 15 percall he answers and a female operator getsRs. 10 per call she answers. To minimizethe total cost, how many male operatorsshould the service provider employassuming he has to employ more than 7 ofthe 12 female operators available for the

job?

a. 15b. 14c. 12d. 10

29. Three Englishmen and three Frenchmenwork for the same company. Each of themknows a secret not known to others. Theyneed to exchange these secrets overperson-to-person phone calls so thateventually each person knows all sixsecrets. None of the Frenchmen knowsEnglish, and only one Englishman knows

French. What is the minimum number ofphone calls needed for the above purpose?

a. 5b. 10c. 9d. 15

30. A rectangular floor is fully covered withsquare tiles of identical size. The tiles onthe edges are white and the tiles in theinterior are red. The number of white tilesis the same as the number of red tiles. Apossible value of the number of tiles along

one edge of the floor is

a. 10b. 12c. 14d. 16

SECTION-II

Number of Question = 10

Note: Questions 31 to 40 carry one mark each.

Directions for Questions 31 to 34: The passagegiven below is followed by a set of four questions.Choose the best answer to each question.

A game of strategy, as currently conceived ingame theory, is a situation in which two or moreplayers make choices among available

alternatives (moves). The totality of choicesdetermines the outcomes of the game, and it isassumed that the rank order of preferences for theoutcomes is different for different players. Thusthe interests of the players are generally inconflict. Whether these interests are diametricallyopposed or only partially opposed depends on thetype of game.

Psychologically, most interesting situations arisewhen the interests of the players are partlycoincident and partly opposed, because then onecan postulate not only a conflict among the

players but also inner conflicts within the players.Each is torn between a tendency to cooperate, soas to promote the common interests, and atendency to compete, so as to enhance his ownindividual interests.

Internal conflicts are always psychologicallyinteresting. What we vaguely call interestingpsychology is in very great measure thepsychology of inner conflict, inner conflict is alsoheld to be an important component of seriousliterature as distinguished from less seriousgenres. The classical tragedy, as well as the

serious novel, reveals the inner conflict of centralfigures. The superficial adventure story, on theother hand, depicts only external conflict; that is,the threats to the person with whom the reader (orviewer) identifies stem in these stories exclusivelyfrom external obstacles and from the adversarieswho create them. On the most primitive level thissort of external conflict is psychologically empty.In the fisticuffs between the protagonists of goodand evil, no psychological problems are involvedor, or any rate, none are depicted in juvenilerepresentations of conflict.

The detective story, the adult analogue of ajuvenile adventure tale, has at times beendescribed as a glorification of intellectualizedconflict. However, a great deal of the interest inthe plots of these stories is sustained bywithholding the unraveling of a solution to aproblem. The effort of solving the problem is initself not a conflict if the adversary (the unknowncriminal) remains passive, like Nature, whosesecrets the scientist supposedly unravels bydeduction. If the adversary actively puts obstacles


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in the detectives path toward the solution, there isgenuine conflict. But the conflict ispsychologically interesting only to the extent thatit contains irrational components such as a tacticalerror on the criminals part or the detectivesinsight into some psychological quirk of thecriminal or something of this sort. Conflictconducted in a perfectly rational manner ispsychologically no more interesting than astandard Western. For example, Tic-tac-toe,played perfectly by both players, is completelydevoid of psychological interest. Chess may bepsychologically interesting but only to the extentthat it is played not quite rationally. Playedcompletely rationally, chess would not bedifferent from Tic-tac-toe.

In short, a pure conflict of interest (what is calleda zero-sum game) although it offers a wealth ofinteresting conceptual problems, is not interesting

psychologically, except to the extent that itsconduct departs from rational norms.

31. According to the passage, internalconflicts are psychologically moreinteresting than external conflicts because

a. internal conflicts, rather than externalconflicts, form an importantcomponent of serious literature asdistinguished from less serious genres.

b. only jueniles or very few adultsactually experience external conflict,while internal conflict is more widelyprevalent in society.

c. in situations of internal conflict,individuals experience a dilemma inresolving their own preferences fordifferent outcomes.

d. there are no threats to the reader (orviewer) in case of external conflicts.

32. Which, according to the author, wouldqualify as interesting psychology?

a. A statisticians dilemma over choosingthe best method to solve anoptimization problem.

b. A chess players predicament overadopting a defensive strategy againstan aggressive opponent.

c. A mountaineers choice of the bestpath to Mt. Everest from the basecamp.

d. A finance managers quandary over thebest way of raising money from themarket.

33. According to the passage, which of thefollowing options about the application ofgame theory to a conflict-of-interestsituaton is true?

a. Assuming that the rank order ofpreferences for options is different fordifferent players.

b.

Accepting that the interests of differentplayers are often in conflict.

c. Not assuming that the interests are incomplete disagreement.

d. All of the above.34. The problem solving process of a scientist

is different from that of a detectivebecause

a. scientists study inanimate objects,while detectives deal with livingcriminals or law offenders.

b. scientists study known objects, whiledetectives have to deal with unknowncriminals or law offenders

c. scientists study phenomena that are notactively altered, while detectives dealwith phenomena that have beendeliberately influenced to mislead.

d. scientists study psycho logicallyinteresting phenomena, whiledetectives deal with adult analoguesof juvenile adventure tales.

Directions for Questions 35 to 37: The sentencesgiven in each question, when properly sequenced,form a coherent paragraph. Each sentence islabeled with a letter. Choose the most logicalorder of sentences from among the given choicesto construct a coherent paragraph.

35. (A) Similarly, turning to caste, even thoughbeing lower caste s undoubtedly aseparate cause of disparity, its impactis all the greater when the lower-castefamilies also happen to be poor.

(B) Belonging to a privileged class canhelp a woman to overcome manybarriers that obstruct women from lessthriving classes.

(C) It is the interactive presence of thesetwo kinds of deprivation being lowclass and being femalethatmassively impoverishes women fromthe less privileged classes.


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(D) A congruence of class deprivation andgender discrimination can blight thelives of poorer women very severely.

(E) Gender is certainly a contributor tosocietal inequality, but it does not actindependently of class.

a. EABDCb.

EBDCA

c. DAEBCd. BECDA

36. (A) When identity is thus defined bycontrast, divergence with the Westbecomes central.

(B) Indian religious literature such as theBhagavad Gita or the Tantric texts,which are identified as differing fromsecular writings seen as western,elicits much greater interest in theWest than do other Indian writings,

including Indias long history ofheterodoxy.

(C) There is a similar neglect of Indianwriting on non-religious subjects, frommathematics, epistemology and naturalscience to economics and linguistics.

(D) Through selective emphasis that pointup differences with the West, othercivilizations can, in this way, beredefined in alien terms, which can beexotic and charming, or else bizarre

and terrifying, or simply strange andengaging.

(E) The exception is the Kamasutra inwhich western readers have managedto cultivate an interest.

a. BDACEb. DEABCc. BDECAd. BCEDA

37. (A) This is now orthodoxy to which Isubscribe - up to a point.

(B) It emerged from the mathematics ofchance and statistics.

(C) Therefore the risk is measurable andmanageable.

(D) The fundamental concept: Prices arenot predictable, but the mathematicallaws of chance can describe theirfluctuations.

(B) This is how what business schools nowcall modem finance was born.

a. ADCBE

b. EBDCAc. ABDCEd. DCBEA

Directions for Questions 38 to 40: In eachquestion, the word at the top of the table is used infour different ways, numbered 1 to 4. Choose the

option in which the usage of the word is incorrector inappropriate.

38. Neara. I got there just after you left - a near

miss!

b. She and her near friend left early.c. The war led to a near doubling of oil

prices.

d. They came near to tears seeing theplight of the victims.

39.

Handa. I have my hand full, I cannot do ittoday.

b. The minister visited the jail to see thebreach at first hand

c. The situation is getting out of handhere!

d. When the roof of my house was blownaway, he was willing to lend me ahand.

40. Fora. He has a great eye for detail.b. We are waiting for the day.c. I cant bear for her to be angry.d. It couldnt be done for ever.

SubSection II-B: Number of Question = 20Note: Q. 41 to 60 carry two marks each.

Directions for Questions 41 to 48: Each of thetwo passages given below is followed by a set offour questions. Choose the best answer to eachquestion.

PASSAGE I

Crinoline and croquet are out. As yet, no politicalactivists have thrown themselves in front of theroyal horse on Derby Day. Even so, somehistorians can spot the parallels. It is a time ofrapid technological change: It is a period when thedominance of the worlds superpower is comingunder threat. It is an epoch when prosperitymasks underlying economic strain. And, crucially,it is a time when policy-makers are confident thatall is for the best in the best of all possible worlds.


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Welcome to the Edwardian Summer of the secondage of globalization.

Spare a moment to take stock of whatsbeen happening in the past few months. Lets startwith the oil price, which has rocketed to morethan $65 a barrel, more than double its level 18months ago. The accepted wisdom is that weshouldnt worry our little heads about that,because the incentives are there for business tobuild new production and refining capacity, whichwill effortlessly bring demand and supply backinto balance and bring crude prices back to $25 abarrel. As Tommy Cooper used to say, just likethat.

Then there is the result of the Frenchreferendum on the European Constitution, seen asthick-headed luddites railing vainly against themodern world. What the French needed to realize,the argument went, was that there was no

alternative to the reforms that would make thecountry more flexible, more competitive, moredynamic. Just the sort of reforms that allowedGate Gourmet to sack hundreds of its staff atHeathrow after the sort of ultimatum that used tobe handed out by Victorian mill owners. Analternative way of looking at the French non isthat our neighbours translate flexibility asyoure fired.

Finally, take a squint at the United States.Just like Britain a century ago, a period ofunquestioned superiority is drawing to a close.

China is still, a long way from matchingAmericas wealth, but it is growing at astupendous rate and economic strength bringsgeopolitical clout. Already, there is evidence of anew scramble for Africa as Washington andBeijing compete for oil stocks. Moreover, beneaththe surface of the US economy, all is not well.Growth looks healthy enough, but the competitionfrom China and elsewhere has meant the worldsbiggest economy now imports far more than itexports. The US is living beyond its means, but inthis time of studied complacency a currentaccount deficit worth 6 percent of gross domesticproduct is seen as a sign of strength not weakness.

In this new Edwardian summer, comfort istaken from the fact that dearer oil has not had thesavage inflationary consequences of 1973-74,when a fourfold increase in the cost of crudebrought an abrupt end to a postwar boom that hadgone on uninterrupted for a quarter of a century.True, the cost of living has been affected byhigher transport costs, but we are talking ofinflation at 2.3 per cent and not 27 per cent. Yet

the idea that higher oil prices are of littleconsequence is fanciful if people are paying moreto fill up their cars it leaves them with less tospend on everything else, but there is a reluctanceto consume less in the 1970s unions were strongand able to negotiate large, compensatory paydeals that served to intensify inflationary pressure.In 2005, that avenue is pretty much closed off, butthe abolition of all the controls on credit thatexisted in the 1970s means that households areinvited to borrow more rather than consume less.The knock-on effects of higher oil prices are thusfelt in different ways - through high levels ofindebtedness, in inflated asset prices, and inbalance of payments deficits.

There are those who point out, rightly, thatmodern industrial capitalism has proved mightilyresilient these past 250 years, and that a sign ofthe enduring strength of the system has been the

way it apparently shrugged off everything a stockmarket crash, 9/11, rising oil prices - that havebeen thrown at it in the half decade since themillennium. Even so, there are at least threereasons for concern. First, we have been herebefore. In terms of political economy, the first eraof globalization mirrored our own. There was abelief in unfettered capital flows, in free trade, andin the power of the market. It was a time ofmassive income inequality and unprecedented inmigration. Eventually, though, there was abacklash, manifested in a struggle between free

traders and protectionists, and in rising labourmilitancy.

Second, the world is traditionally at itsmost fragile at times when the global balance ofpower is in flux. By the end of the nineteenthcentury, Britains role as the hegemonic powerwas being challenged by the rise of the UnitedStates, Germany, and Japan while the Ottomanand Hapsburg empires were clearly in rapiddecline. Looking ahead from 2005, it is clear thatover the next two or three decades, both Chinaand India which together account for half the

worlds population will flex their muscles.Finally, there is the question of what rising oilprices tell us. The emergence of China and Indiameans global demand for crude is likely to remainhigh at a time when experts say production isabout to top out. If supply constraints start to bite,any declines in the price are likely to be short-term cyclical affairs punctuating a long upwardtrend.


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41. By the expression Edwardian Summer,the author refers to a period in which thereis

a. unparalleled luxury and opulence.b. a sense of complacency among people

because of all-round prosperity.

c. a culmination of all-round economicprosperity.

d. an imminent danger lurking behindeconomic prosperity.

42. What, according to the author, has resultedin a widespread belief in the resilience ofmodern capitalism?

a. Growth in the economies of Westerncountries despite shocks in the form ofincrease in levels of indebtedness andinflated asset prices.

b. Increase in the prosperity of Westerncountries and China despite rising oil

prices.

c. Continued growth of Westerneconomies despite a rise in terrorism,an increase in oil prices and othersimilar shocks.

d. The success of continued reformsaimed at making Western economiesmore dynamic, competitive andefficient.

43. Which of the following best represents thekey argument made by the author?

a. The rise in oil prices, the flux in theglobal balance of power and historicalprecedents should make us questionour belief that the global economicprosperity would continue.

b. The belief that modern industrialcapitalism is highly resilient andcapable of overcoming shocks will bebelied soon.

c. Widespread prosperity leads to neglectof early signs of underlying economicweakness, manifested in higher oil

prices and a flux in the global balanceof power.

d. A crisis is imminent in the West giventhe growth of countries like China andIndia and the increase in oil prices.

44. What can be inferred about the authorsview when lie states, As Tommy Cooperused to say just like that?

a. Industry has incentive to build newproduction and refining capacity andtherefore oil prices would reduce.

b. There would be a correction in theprice levels of oil once new productioncapacity is added.

c. The decline in oil prices is likely to beshort-term in nature.

d. It is not necessary that oil prices wouldgo down to earlier levels.

PASSAGE II

While complex in the extreme, Derridas work hasproven to be a particularly influential approach tothe analysis of the ways in which languagestructures our understanding of ourselves and theworld we inhabit, an approach, he termeddeconstruction. In its simplest formulation,deconstruction can be taken to refer to amethodological strategy which seeks to uncoverlayers of hidden meaning in a text that have been

denied or suppressed. The term text, in thisrespect, does not refer simply to a written form ofcommunication, however. Rather, texts aresomething we all produce and reproduceconstantly in our everyday social relations, bethey spoken, written or embedded in theconstruction of material artifacts. At the heart ofDerridas deconstructive approach is his critiqueof what lie perceives to be the totalitarian impulseof the Enlightenment pursuit to bring all thatexists in the world under the domain of arepresentative language, a pursuit he refers to aslogocentrism. Logocentrism is the search for arational language that is able to know andrepresent the world and all its aspects perfectlyand accurately. Its totalitarian dimension, forDerrida at least, lies primarily in its tendency tomarginalize or dismiss all that does not neatlycomply with its particular linguisticrepresentations, a tendency that, throughouthistory, has all too frequently been manifested inthe form of authoritarian institutions. Thuslogocentrism has, in its search for the truth of

absolute representation, subsumed difference andoppressed that which it designates as its alienother. For Derrida, western civilization has beenbuilt upon such a systematic assault on aliencultures and ways of life, typically in the name ofreason and progress.

In response to logocentrism,deconstruction posits the idea that the mechanismby which this process of marginalization and theordering of truth occurs is through establishingsystems of binary opposition. Oppositionallinguistic dualisms, such as rational/irrational,


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culture! nature and good/bad are not, however,construed as equal partners as they are in, say, thesemiological structuralism of Saussure. Rather,they exist, for Derrida, in a series of hierarchicalrelationships with the first terms normallyoccupying a superior position. Derrida defines therelationship between such oppositional termsusing the neologism difference. This refers to therealization that in any statement, oppositionalterms differ from each other (for instance, thedifference between rationality and irrationality isconstructed through oppositional usage), and atthe same time, a hierarchical relationship ismaintained by the deference of one term to theother (in the positing of rationality overirrationality, for instance). It is this latter pointwhich is perhaps the key to understandingDerridas approach to deconstruction.

For the fact that at any given time one term must

defer to its oppositional other, means that thetwo terms are constantly in a state ofinterdependence. The presence of one isdependent upon the absence or absent- presenceof the other, such as in the case of good and evil,whereby to understand the nature of one, we mustconstantly relates it to the absent term in order tograsp its meaning. That is, to do good, we mustunderstand that our act is not evil for without thatcomparison the terms becomes meaningless. Putsimply, deconstruction represents an attempt todemonstrate the absent-presence of this

oppositional other, to show that what we say orwrite is in itself not expressive simply of what ispresent, but also of what is t. Thus, deconstructionseeks to reveal the interdependence of apparentlydichotomous terms and their meanings relative totheir textual context; that is, within the linguisticpower relations which structure dichotomousterms hierarchically. In Derridas own words, adeconstructive reading must always aim at acertain relationship, unperceived by the writer,between what he commands and what he does notcommand of the patterns of a language that he

uses......[It] attempts to make the not-seenaccessible to sight.

Meaning, then, is never fixed or stable,whatever the intention of the author of a text. ForDerrida, language is a system of relations that aredynamic, in that all meanings we ascribe to theworld are dependent not only on what we believeto be present but also on what is absent. Thus, anyact of interpretation must refer not only to whatthe author of a text intends, but also to what isabsent from his or her intention. This insight

leads, once again, to Derridas further rejection ofthe idea of the definitive authority of theintentional agent or subject. The subject isdecentred it is conceived as the outcome ofrelations of difference. As author of its ownbiography, the subject thus becomes theideological fiction of modernity and itslogocentric philosophy, one that depends upon theformation of hierarchical dualisms, which repressand deny the presence of the absent other. Nomeaning can, therefore, ever be definitive, but ismerely an outcome of a particular interpretation.

45. According to the passage, Derrida believesthat:

a. Reality can be construed only throughthe use of rational analysis.

b. Language limits our construction ofreality.

c. A universal language will facilitate acommon understanding of reality.

d. We need to uncover the hiddenmeaning in a system of relationsexpressed by language.

46. To Derrida, logocentrism does not imply:a. A totalitarian impulse.b. A domain of representative language.c. Interdependence of the meanings of

dichotomous terms.

d. A strategy that seeks to suppresshidden meanings in a text.

47. According to the passage, Derrida believesthat the system of binary opposition

a. represents a prioritization or hierarchy.b. reconciles contradictions and dualities.c. weakens the process of marginalization

and ordering of truth.

d. deconstructs reality.48. Derrida rejects the idea of definitive

authority of the subject because

a. interpretation of the text may not makethe unseen visible.

b. the meaning of the text is based onbinary opposites.

c. the implicit power relationship is oftenignored.

d. any act of interpretation must refer towhat the author intends.

Directions for Questions 49 to 52: Each of thefollowing questions has a paragraph from whichthe last sentence has been deleted. From the given


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options, choose the one that completes theparagraph in the most appropriate way.

49. The audiences for crosswords and sudoku,understandably, overlap greatly, but thereare differences, too. A crossword attracts amore literary person, while sudoku appeals

to a keenly logical mind. Some crosswordenthusiasts turn up their noses at sudokubecause they feel it lacks depth. A goodcrossword requires vocabulary,knowledge, mental flexibility andsometimes even a sense of humor tocomplete. It touches numerous areas of lifeand provides an Aha! or two along theway.

a. Sudoku, on the other hand, is just alogical exercise, each one similar to thelast.

b. Sudoku, incidentally, is growing fasterin popularity than crosswords, evenamong the literati.

c. Sudoku, on the other hand, can beattempted and enjoyed even bychildren.

d. Sudoku, however, is not exciting inany sense of the term

50. Most firms consider expert individuals tobe too elitist, temperamental, egocentric,and difficult to work with. Force suchpeople to collaborate on a high-stakesproject and they just might come tofisticuffs. Even the very notion ofmanaging such a group seemsunimaginable. So most organizations fallinto default mode, setting up project teamsof people who get along nicely.

a. The result, however, is disastrous.b. The result is mediocrity.c. The result is creation of experts who

then become elitists.

d. Naturally, they drive innovations.51. Federers fifth grand slam win prompted a

reporter to ask whether he was the bestever. Federer is certainly not lacking inconfidence, but he wasnt about toproclaim himself the best ever. The bestplayer of this generation, yes, he said,But nowhere close to ever. Just look atthe records that some guys have. Im aminnow.

a. His win against Agassi, a genius fromthe previous generation, contradictsthat.

b. Sampras, the king of an earliergeneration, was as humble.

c. He is more than a minnow to hiscontemporaries.

d.

The difference between the best ofthis generation and the best ever is amatter of perception.

52. Thus the end of knowledge and the closingof the frontier that it symbolizes is not alooming crisis at all, but merely one ofmany embarrassing fits of hubris incivilizations long industry. In the end, itwill pass away and be forgotten. Ours isnot the first generation to struggle tounderstand the organizational laws of thefrontier, deceive itself that it has

succeeded, and go to its grave havingfailed.

a. One would be wise to be humble.b. But we might be the first generation to

actually reach the frontier.

c. But we might be the first generation todeal with the crisis.

d. However, this time the success is notillusory.

Directions for Questions 53 to 56: Each question

consists of four sentences on a topic. Somesentences are grammatically incorrect orinappropriate. Select the option that indicates thegrammatically correct and appropriatesentence(s,).

53. A. When virtuoso teams begin their work,individuals are in and group consensusis out

B. As project progresses, however, theindividual stars harness themselves tothe product of the group.

C. Sooner or later, the members breakthrough their own egocentrism andbecome a plurality with single-mindedfocus on the goal.

D. In short, they morph into a powerfulteam with a shared identity.

a. A & Cb. A & Dc. B & Dd. A, C & D


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54. A. Large reductions in the ozone layer,which sits about 15-30 km above theEarth, take place each winter over thepolar regions, especially the Antarctic,as low temperatures allow theformation of stratospheric clouds thatassist chemical reactions breakingdown ozone.

B. Industrial chemicals containingchlorine and bromine have beenblamed for thinning the layer becausethey attack the ozone molecules,making them to break apart.

C. Many an offending chemicals havenow been banned.

D. It will still take several decades beforethese substances have disappearedfrom the atmosphere.

a. Db. B & Dc. A & Dd. A & C

55. A. The balance of power will shift to theEast as China and India evolve.

B. Rarely the economic ascent of two stillrelatively poor nations has beenwatched with such a mixture of awe,opportunism and trepidation.

C. Postwar era witnessed economicmiracles in Japan and South Korea, but

neither was populous enough to powerworldwide growth or change the gamein a complete spectrum of industries.

D. China and India, by contrast, possessthe weight and dynamism to transformthe 2 1st- century global economy.

a. A, B & Cb. A & Dc. Cd. C & D

56. A. People have good reason to care aboutthe welfare of animals.B. Ever since Enlightenment, theirtreatment has been seen as a measureof mankinds humanlity.

C. It is no coincidence that WilliamWilberforce and Sir Thomas FoxwellBuxton, two leaders of the movementto abolish the slave trade, helped foundthe Royal Society for the Prevention ofCruelty to Animals in 1820s.

D. An increasing number of people gofurther: mankind has a duty not tocause pain to animals that have thecapacity to suffer.

a. A & Db. Bc. A & Cd. C & D

Directions for Questions 57 to 60: Each of thefollowing questions has a paragraph with oneitalicized word that does not make sense, choosethe most appropriate replacement for that wordfrom the options given below the paragraph.

57. Intelligent design derives from an early19th- century explanation of the naturalworld given by an English clergyman,William Paley. Paley was the popularize ofthe famous watchmaker analogy.Proponents of intelligent design arecrupping Paleys argument with a newgloss from molecular biology.

a. destroyingb. testingc. resurrectingd. questioning

58. Women squat, heads covered beside hugepiles of limp fodder and blunk oil lamps,and just about all the cows in the three

towns converge upon this spot. Sinners,supplicants and yes, even scallywags handover a few coins for a crack at redemptionand a handful of grass.

a. shiningb. brightc. sputteringd. effulgent

59. It is kiang to a sensitive traveler whowalks through this great town, when hesees the streets, the roads, and cabin doors

crowded with beggars, mostly women,followed by three, four, or six children, allin rags and importuning every passengerfor alms.

a. amusingb. irritatingc. disgustingd. distressing

60. Or there is the most fingummy diplomaticnote on record: when Philip of Macedonwrote to the Spartans that, if he came


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within their borders, he would leave notone stone of their city, .they wrote backthe one word If,

a. wittyb. rudec. simpled. terse

SECTION-III

SubSection III-A: Number of Question = 10Note: Q. 61 to 70 carry one mark each.

Answer Questions 61 to 64 on the basis of theinformation given below: A management institutewas established on January 1, 2000 with 3, 4, 5,and 6 faculty members in the MarketingOrganizational Behaviors (GB), Finance, and

Operations Management (GM) areas respectively,to start with. No faculty member retired or joinedthe institute in the first three months of the year2000. In the next four years, the institute recruitedone faculty member in each of the four areas. Allthese new faculty members, who joined theinstitute subsequently over the years, were 25years old at the time of their joining the institute.All of then, joined the institute on April 1. Duringthese Jour years, one of the faculty membersretired at the age of 60. The following diagramgives the area-wise average age (in terms of

number of completed years,) of faculty membersas on April 1 of 2000, 2001, 2002, and 2003.

61.

From which area did the faculty memberretire?

a. Financeb. Marketingc. OBd. OM

62. Professors Naresh and Devesh, two facultymembers in the Marketing area, who havebeen with the Institute since its inception,share a birthday, which falls on 20thNovember; one was horn in 1947 and the

other one in 1950. On April 1 2005, whatwas the age of the third faculty member,who has been in the same area sinceinception?

a. 47b. 50c. 51d. 5263. In which year did the new faculty member

join the Finance area?

a. 2000b. 2001c. 2002d. 2003

64. What was the age of the new facultymember, who joined the OM area, as onApril 1, 2003?

a. 25b. 26c. 27d. 28

Answer Questions 65 to 67 on the basis of theinformation given below.

The table below reports annual statistics related torice production in select states of India for aparticular year.State Total Area

(in millions)

% of

Area

Under

Rice

Cultivation

Produc

tion (in

million

tons)

Popul

ation

(in

millio

ns)

Himachal Pradesh

Kerala

Rajasthan

Bihar

Karnataka

Haryana

West Bengal

Gujarat

Punjab

Madhya Prade3h

Tamilnadu

Maharashtra

Uttar PradeshAndhra Pradesh

6

4

34

10

19

4

9

20

5

31

13

31

2428

20

60

20

60

50

80

80

60

80

40

70

50

7080

1.2

4.8

6.8

12

19

19.2

21.6

24

24

24.8

27.3

48

67.2112

6

32

56

83

53

21

80

51

24

60

62

97

16676

65. Which two states account for the highestproductivity of rice (tons produced perhectare of rice cultivation)?

a. Haryana and Punjabb. Punjab and Andhra Pradeshc. Andhra Pradesh and Haryanad. Uttar Pradesh and Haryana


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66. How many states have a per capitaproduction of rice (defined as total riceproduction divided by its population)greater than Gujarat?

a. 3b. 4c. 5d. 667. An intensive rice producing state isdefined as one whose annual riceproduction per million of population is atleast 400,000 tons. How many states areintensive rice producing states?

a. 5b. 6c. 7d. 8

Answer Questions 68 to 70 on the basis of theinformation given below:

The table below reports the gender, designationand age-group of the employees in anorganization. It also provides information on theircommitment to provides coming up in the monthsof January (Jan), February (Feb), March (Mar)and April (Apr,), as well as their interest i nattending workshops on:

Business Opportunities (BO), CommunicationSkills (CS), and F-Governance (EG)

s.No.

Name Gender

Designat

ion

AgeGro

up

Committed to

Projects

during

Interestedin

workshop

on

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

Anshul

Bushkant

Charu

Dinesh

Eashwaran

Fatima

Gayatri

Hari

Indira

John

Kalindi

Lavanya

Mandeep

Nandlal

Parul

Rahul

Sunita

Urvashi

Yamini

Zeena

M

M

F

M

M

F

F

M

F

M

F

F

M

M

F

M

F

F

F

F

Mgr

Dir

Mgr

Exe

Dir

Mgr

Exe

Mgr

Dir

Dir

Exe

Mgr

Mgr

Dir

Exe

Mgr

Dir

Exe

Mgr

Exe

Y

I

I

O

O

Y

Y

I

O

Y

I

O

O

I

Y

Y

Y

I

O

Y

Jan, Mar

Feb, Mar

Jan, Feb

Jan, Apr

Feb, Apr

Jan, Mar

Feb. Mar

Feb, Mar

Feb. Apr

Jan, Mar

Jan, Apr

Feb. Apr

Mar, Apr

Jan, Feb

Feb, Apr

Mar, Apr

Jan, Feb

Feb, Mar

Mar, Apr

Jan, Mar

CS, EG

BO, EG

BO, CS

BO, CS, EG

BO

BO, CS

EG

BO, CS, EG

BO, EG

BO

BO, CS, EG

CS, EG

BO, EG

BO, EG

CS,EG

CS, EG

BO, EG

EG

CS, EG

BO, CS, EG

M=Male, F=Female Exe=Executive, Mgr =Manager, Dir=Director Y=Young, I=In-between,O=Old

For each workshop, exactly four employees are tohe sent, of which at least two should be Femalesand at least one should be Young. No employeecan be sent to a workshop in which he/she is notinterested in. An employee cannot attend theworkshop on

Communication Skills, if he/she is

committed to internal projects in themonth of January;

Business Opportunities. if he/she iscommitted to internal projects in themonth of February:

B-governance, if he/she is committed tointernal projects in the month of March.

68. Assuming that Parul and Han are attendingthe workshop on Communication Skills(CS), then which of the followingemployees can possibly attend the CS

workshop?

a. Rahul and Yaminib. Dinesh and Lavanyac. Anshul and Yaminid. Fatima and Zeena

69. How many Executives (Exe) cannot attendmore than one workshop?

a. 2b. 3c. 15d. 16

70. Which set of employees cannot attend anyof the workshops?

a. Anshul, Charu, Eashwaran andLavanya

b. Anshul, Bushkant, Gayatri, andUrvashi

c. Charu, Urvashi, Bushkant andMandeep

d. Anshul, Gayatri, Eashwaran andMandeep

SubSection III-B: Number of Question = 20Note: Q. 71 to 90 carry two marks each.


In the table below is the listing of players, seededfrom highest (#1) to lowest (#32), who are due toplay in an Association of Tennis Players (ATP)tournament for women. This tournament has fourknockout rounds before the final, i.e., first round,


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second round, quarterfinals, and semi-finals. Inthe first round, the highest seeded player plays thelowest seeded player (seed #32) which isdesignated match No. 1 of first round: the 2ndseeded player plays the 31st seeded player whichis designated match No.2 of the first round, and soon. Thus, for instance, match Mo. 16 of first roundis to be played between 16th seeded player and the17th seeded player. In the second round, thewinner of match No. 1 of first round plays thewinner of match No. 16 of first round and isdesignated match No. 1 of second round,Similarly, the winner of match No. 2 of first roundplays the winner of match No. 15 of first round,and is designated match No. 2 of second round.Thus, for instance, match No. 8 of the secondround is to be played between the winner of matchNo. 8 of first round and the winner of match No. 9of first round. The same pattern is followed for

later rounds as well.

Seed # Name of Player

1. Maria Sharapova

2. Lindsay Davenport

3. Amelie Mauresmo

4. Kim Clijesters

5. Svetana Kuznetsova

6. Elena Dementieva

7. Justine Henin

8. Serena Williams

9. Nadia Petrova10. Venus Williams

11. Patty Schnyder

12. Mary Pierce

13. Anastasia Myskina

14. Alicia Molik

15. Nathalie Dechy

16. Elena Bovina

17. Jelena Jankovic

18. Ana Ivanovic

19. Vera Zvonareva

20. Elena Likhovtseva21. Daniela Hantuchova

22. Dinara Safina

23. Silvia Farina Elia

24. Tatiana Golovin

25. Shinobu Asagoe

26. Francesca Schiavone

27. Nicole Vaudusiva

28. Gila Dulko

29. Flavia Pennetta

30. Anna Chakvetadze

31. Ai Sugiyama

32. Anna-lena Groenefeld

71. If there are no upsets (a lower seededplayer beating a higher seeded player) inthe first round, and only match Nos. 6, 7,

and 8 of the second round result in upsets,then who would meet Lindsay Davenportin quarter finals, in case Davenport reachesquarter finals?

a. Justine Heninb. Nadia Petrovac. Patty Schnyderd. Venus Williams

72. If Elena Dementieva and Serena Williamslose in the second round, while JustineHenin and Nadia Petrova make it to thesemi-finals, then who would play MariaSharapova in the quarterfinals, in the eventSharapova reaches quarterfinals?

a. Dinara Safinab. Justine Heninc. Nadia Petrovad. Patty Schnyder

73. If, in the first round, all even numberedmatches (and none of the odd numberedones) result in upsets, an there are noupsets in the second round, then who couldbe the lowest seeded player facing Maria

Sharapova in semi-finals?a. Anastasia Myskinab. Flavia Pennettac. Nadia Petrovad. Svetlana Kuznetsova

74. If the top eight seeds make it to thequarterfinals, then who amongst theplayers listed below would definitely notplay against Maria Sharapova in the final,in case Sharapova reaches the final?

a. Amelie Mauresmob. Elena Deinentievac. Kim Clijstersd. Lindsay Davenport

Answer Questions 75 to 78 on the basis of theinformation given below: Venkat, a stockbroker,invested a part of his money in the stock of fourcompanies - A, B, C and D.

Each of these companies belonged to differentindustries, viz., Cement, Information Technology(IT), Auto, and Steel, in no particular order, At the


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time of investment, the price of each stock was Rs100. Venkat purchased only one stock of each ofthese companies. He was expecting returns of20%, 10%, 30%, and 40% from the stock ofcompanies A, B. C and D, respectively. Returnsare defined as the change in the value of the stockafter one year, expressed as a percentage of theinitial value. During the year, two of thesecompanies announced extraordinarily goodresults. One of these two companies belonged tothe Cement or the IT industry, while the other onebelonged to either the Steel or the Auto industry.As a result, the returns on the stocks of these twocompanies were higher than the initially expectedreturns. For the company belonging to the Cementor the IT industry with extraordinarily goodresults, the returns were twice that of the initiallyexpected returns. For the company belonging tothe Steel or the Auto industry, the returns on

announcement of extraordinarily good resultswere only one and a half times that of the initiallyexpected returns. For the remaining twocompanies, which did not announceextraordinarily good results, the returns realized-during the year were the same as initiallyexpected.

75. What is the minimum average returnVenkat would have earned during theyear?

a. 30%b. 31 %c. 32 %d. Cannot he determined

76. If Venkat earned a 35% return on averageduring the year, then which of thesestatements would necessarily be true?

1. Company A belonged either to Auto orto Steel Industry.

2. Company B did not announceextraordinarily good result

3. Company A announced extraordinarilygood results.

4. Company D did not announceextraordinarily good results.

a. 1 and 2 onlyb. 2 and 3 onlyc. 3 and 4 onlyd. 2 and 4 only

77. If Venkat earned a 38.75% return onaverage during the year, then which ofthese statement(s) would necessarily betrue?

1. Company C belonged either to Autoor to Steel Industry.

2. Company D belonged either to Auto orto Steel Industry.

3. Company A announced extraordinarilygood results.

4. Company B did not announceextraordinarily good results,


78. If Company C belonged to the Cement orthe IT industry and did announceextraordinarily good results, then which ofthese statement(s) would necessarily betrue?

1. Venkat earned not more than 3 6.25%return on average.

2. Venkat earned not less than 3 3.75%return on average.

3. If Venkat earned 33.75% return onaverage, Company A announcedextraordinarily good results.

4. If Venkat earned 33.75% return onaverage; Company B belonged eitherto Auto or to Steel industry.



The year is 2089. Beijing, London, New York,and Paris are in contention to host the 2096Olympics. The eventual winner is determinedthrough several rounds of voting by members ofthe IOC with each member representing adifferent dy. All the four cities in contention arealso represented in IOC.

In any round of voting, the city receiving thelowest number of votes in that round getseliminated. The survivor after the last round ofvoting gets to host the event.

A member is allowed to cast votes for at mosttwo different cities in all rounds of votingcombined. (Hence, a member becomesineligible to cast a vote in a given round ifboth the cities (s) he voted for in earlier roundsare out of contention in that round of voting.)


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A member is also ineligible to cast a vote in around if the city (s) he represents is incontention in that round of voting.

As long as the member is eligible, (s) he mustvote and vote for only one candidate city inany round of voting.

The following incomplete table shows the

information on cities that received the maximumarid minimum votes in different rounds, thenumber of votes cast in their favour, and the totalvotes that were cast in those rounds.Round Total Maximum votes cast Eliminated

Votes

cast

City No. of

votes

City No. of

Votes

1. London 30 New York 12

2. 83 Paris 32 Beijing 21

3. 75

It is also known that

All those who voted for London and Paris inround 1, continued to vote for the same cities

in subsequent rounds as long as these citieswere in contention. 75% of those who votedfor Beijing in round 1, voted for Beijing inround 2 as well.

Those who voted for New York in round 1,voted either for Beijing or Paris in round 2.

The difference in votes cast for the twocontending cities in the last round was 1.

50% of those who voted for Beijing in round I,voted for Paris in round 3.

79. What percentage of members from amongthose who voted for New York in round 1,voted for Beijing in round 2?

a. 33.33b. 50c. 66.67d. 75

80. What is the number of votes east for Parisin round 1?

a. 16b. 18c. 22d. 24

81. What perceuage of members from amongthose who voted for Beijing in round 2 andwere eligible to vote in round 3, voted forLondon?

a. 33.33b. 38.10c. 50d. 66.67

82. Which of the following statements must betrue?

A. IOC member from New York musthave voted for Paris in round 2.

B. IOC member from Beijing voted forLondon in round 3.

a. only Ab. only Bc. Both A and B.d. Neither A nor B


The table below presents the revenue (in millionrupees) of four firms in three states. These firms,Honest Ltd., Aggressive Ltd., Truthful Ltd. andProfitable Ltd. are disguised in the table as A, B,C and D, in no particular order

States Firm A Firm B Firm C Firm D

U. P 49 82 80 55

Bihar 69 72 70 65

M.P. 72 63 72 65

Further, it is known that:

In the state of MP, Truthful Ltd. has the highestmarket share.

Aggressive Ltd.s aggregate revenue differs fromHonest Ltd.s by Rs. 5 million.

83. What can be said regarding the followingtwo statements?

Statement 1: Profitable Ltd. has thelowest share in MP market.

Statement 2: Honest Ltd.s total revenueis more than Profitable Ltd.

a. If Statement 1 is true then Statement 2is necessarily true.

b. If Statement 1 is true then Statement 2is necessarily false.

c.

Both Statement 1 and Statement 2 aretrue.

d. Neither Statement 1 nor Statement 2 istrue.

84. What can be said regarding the followingtwo statements?

Statement 1: Aggressive Ltds lowestrevenues are from MP.

Statement 2: Honest Ltd. s lowestrevenues are from Bihar.


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a. If statement 2 is true then statement 1is necessarily false.

b. If statement 1 is false then statement 2is necessarily true.

c. If statement 1 is true then statement 2is necessarily true.

d. None of the above.85. What can be said regarding the followingtwo statements?

Statement 1: Honest Ltd. has the highestshare in the UP market.

Statement 2: Aggressive Ltd. has thehighest share in the Bihar market.

a. Both statements could be true.b. At most one of the statements is true.c. At least one of the statements must be

true.

d. None of the above.86.

If Profitable Ltd.s lowest revenue is fromUP, then which of the following is true?

a. Truthful Ltd.s lowest revenues arcfrom MP.

b. Truthful Ltd.s lowest revenues arefrom Bihar.

c. Truthful Ltd.s lowest revenues arefrom UP.

d. No definite concl usion is possible.Answer Questions 87 to 90 on the basis of theinformation given below:

Help Distress (ID) is an NGO involved in providingassistance to people suffering from natural disasters.Currently, it has 37 volunteers. They are involved inthree projects: Tsunami Relief (TR) in Tamil Nadu,Flood Relief (FR) in Maharashtra, and EarthquakeRelief (ER) in Gujarat. Each volunteer working withHelp Distress has to be involved in at least one reliefwork project.

A Maximum number of volunteers are involved inthe FR project. Among them, the number ofvolunteers involved in FR project alone is equal tothe volunteers having additional involvement in

the ER project. The number of volunteers involved in the ER

project alone is double the number of volunteersinvolved in aH the three projects.

17 volunteers are involved in the TR project.

The number of volunteers involved in the TRproject alone is one less than the number ofvolunteers involved in ER project alone.

Ten volunteers involved in the TR project are alsoinvolved in at least one more project.

87. Based on the information given above, theminimum number of volunteers involvedin both FR and TR projects, but not in theER project is:

a. 1b. 3c. 4d. 588. Which of the following additionalinformation would enable to find the exactnumber of volunteers involved in variousprojects?

a. Twenty volunteers are involved in FR.b. Four volunteers are involved in all the

three projects.

c. Twenty three volunteers are involvedin exactly one project.

d. No need for any additionalinformation.

89. After some time, the volunteers who wereinvolved in all the three projects wereasked to withdraw from one project. As aresult, one of the volunteers opted out ofthe TR project, and one opted out of theER project, while the remaining onesinvolved in all the three projects opted outof the FR project. Which of the followingstatements, then, necessarily follows?

a. The lowest number of volunteers isnow in TR project.

b. More volunteers are now in FR projectas compared to ER project.c. More volunteers are now in TR project

as compared to ER project.

d. None of the above.90. After the withdrawal of volunteers, as

indicated in Question 89, some newvolunteers joined the NGO. Each one ofthem was allotted only one project in amanner such that, the number ofvolunteers working in one project alonefor each of the three projects becameidentical. At that point, it was also foundthat the number of volunteers involved inFR and ER projects was the same as thenumber of volunteers involved in TR andER projects. Which of the projects nowhas the highest number of volunteers?

a. ERb. FRc. TRd. Cannot be determined

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