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    Section I

    Directions for questions 1 to 3: The passage given below is followed by a set of three questions. Choose

    the most appropriate answer to each question.In this age of fierce competition between Internet marketing and traditional retail, merchants want to know:Which approach stirs potential customers most?

    Experiments by neuroeconomist Antonio Rangel and his colleagues suggest that the old pop song chorusAint nothing like the real thing, babymight have it right.

    The findings could be relevant to more than shopping, however. They may give insight into the ways ourbrains assign value in the computational activity that is human choice.

    Whether the stimuli are physically present or not really affects the values you assign and the choices youmake, says Rangel, a California Institute of Technology researcher who published the research resultswith his colleagues in the American Economic Reviewin September.

    Rangel, an economist-turned-neuroscientist, is one of those people eager to find the biological basis forhuman behavior, including choice making. He and many others have concluded that choices are madebased on the values people assign to the options they encounter.

    In a series of experiments, his group set out to learn how people assign values to the same goodspresented differently: as text on a computer screen, as a high-quality photograph on the same screen or asthe thing itself.

    They randomly presented more than 50 hungry Caltech students with snack foods such as candy bars,potato chips and other sweet and salty snacks, one by one, in three different conditions: a text conditionwhere the foods name was written; a high-resolution picture of the food; or the actual snack in a tray. Thestudents were asked to assign values to each of the foods.

    On average, there was no difference in the subjects willingness to pay for the foods between the text andpicture conditions, but subjects were willing to pay, on average, 50 percent more for items that werephysically present. Importantly, these were real decisions: Subjects purchased those items at the statedprice.

    Concerned that noses rather than brains were guiding these judgments, the authors repeated the experiment

    with something other than food. They asked their subjects to rate Caltech paraphernalia: key chains, pensand baseball caps. The students still were willing to pay about 50 percent more for the goods in the realcondition, with no difference between text and picture. We were shocked when it replicated with all of ourgoods, like the trinkets, Rangel says. Somehow the brain knows it is present, and computes the value ofstimuli differently when this is the case.

    Proctored Mock CAT-1 2011

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    To gain more insight about the mechanisms in play, the team repeated the food experiment, but this timeplaced the actual food behind clear Plexiglas so that subjects could see the foods just as before, but couldnot reach or smell them. When behind glass, the real conditions advantage disappeared. The authorsargue that this suggests that the original effect is triggered by the activation of automatic approach responses(often called Pavlovian processes) that strike when a highly appealing, or appetitive, item is placed withinsight and reach of a subject.

    The findings reinforced questions that nag at Rangel. We want to understand not just how signals getcoded in the brain but how they are constructed at the time of choice. What are the inputs that determinewhat values get assigned? How is that affected by learning? How is it affected by a lot of perceptualinformation in the environment? Rangel asks.

    The researchers working hypothesis is that seeing something that you know you could reach out andgrab, if you really needed to, generates a larger cue in the brain than simply seeing an extrapolation of thesame object.

    1. According to the passage, the purpose of the experiments on Caltech students was tounderstand

    (a) which approach stirs potential customers most.(b) the way our brain assigns values to activities.(c) the biological basis of human behaviour in making choices.(d) human responses to actual objects.

    2. From the information on the findings of the researchers, which of the following situations wouldsend the strongest signals to the brain?(a) A sweater displayed on a mannequin at the store entrance.(b) A sweater displayed by a model walking on the ramp.(c) A woman knitting a sweater behind a glass counter.(d) A sweater gift wrapped attractively.

    3. The passage can be best described as(a) Hypothetical(b) Argumentative(c) Factual(d) Experimental

    Directions for questions 4 to 7: The passage given below is followed by a set of four questions. Choosethe most appropriate answer to each question.

    How would one search for knowledge? The things which he knows requires no search, for he already

    knows. The things which he does not know, he does not know what hes going to search for this isMenos Paradox, also called the Sophistic Paradox.

    In Meno, Plato eliminates the paradox by developing his theory of recollection through Socrates. Acontradiction is an always-false statement. For example, if Pis any statement, then Pand the negation ofPis a contradiction. A contradiction cannot be made true. A paradox, however, is a set of statements thatleads one into a contradiction. So a paradox misleads us.

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    The sophistic paradox tells us that we have no way to acquire knowledge. However, the sophistic paradoxmust be an illusion since we do acquire knowledge. It is reasonable, then, to look for a problem in theexposition of the paradox. Plato does the investigation and he finds a way out of the problem.

    Socrates explains that the human soul is immortal and has been born many times. The soul has seeneverything that there is to be seen and there is nothing that it has not learned. Therefore, it is not absurd tobelieve that its possible for the soul to recollect things that it already knows from past existences. Whatmen call learning, Socrates calls recollection. But we have no evidence for souls, immortality, et cetera; wehave no considerable evidence of these things; so Platos theory is unfounded. However, the conclusion ofhis theory has interesting implications in education, as we shall see.

    In Meno, Socrates presents a geometrical problem after having Menos attendant agree on the definition ofa square. It is understood that the problem is to find a square with twice the size of the first. Socratesinitiates a series of suggestions followed by questions that induces the boy into concluding a false statement,then into a correction, and finally to a correct solution. Since the boy is only suggested to, questioned, andinduced,

    Socrates concludes that the boy already had the knowledge needed to solve the problem and has only

    recollected it. Socrates experiment with Menos attendant is an evidence of the existence of the possibilityof learning. It proves something, as Sharples would put it. Whatever Platos plan was, he would be able tosuccessfully eliminate the paradox if he could provide one example in which knowledge is acquired. Iflearning is possible, then the sophistic paradox poses an illusory impossibility.

    Platos emphasis is on the existence of the method of recollection. He is not even concerned with how toapply the method. If he were, we would see a lot more arguments that confirm that Menos attendant reallylearned what he learned, and we would also see examples that illustrate the method. But we dont, soPlato is not concerned with these; Plato is mainly concerned with the fact that the boy saw the result byhimself; that he acquired that knowledge by himself. Socrates shows him the way, and he is able to see itwith his own mind.

    Socrates shows A and B, and the boy is able to confirm, in his brain, that there is something that tells himif A, then Band therefore he draws the imaginary arrow from A to B - we will have more to say about thislater.

    4. What is the primary purpose of this passage?(a) To compare Socrates and Platos observations from the experiment on Menos attendant.(b) To prove the fallacy inherent in the Sophistic Paradox.(c) To explain the basis for and critically analyse Platos theory of recollection.(d) To discuss the paradox that exists in mans search for knowledge.

    5. Which one of these is mentioned as Platos main concern?(a) The implication of a theory developed by him.(b) The existence of a theory developed by him.(c) Proving Socrates views on the method of recollection.(d) The immortality of the soul as an axiom of Platos theory.

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    6. Which of the following can be inferred about Platos theory of recollection?(a) The human soul is immortal.(b) The human soul reincarnates.(c) The human soul recollects truths.(d) The human soul has seen everything there is to be seen.

    7. Why does the author claim that the Sophistic Paradox is an illusion?(a) Reincarnation makes it possible for the soul to have a recollection of truths before birth.(b) Plato is unable to provide an example in which learning is acquired.(c) Learning is possible and knowledge can be acquired.(d) Socrates claims that learning is not acquired, yet his experiment proves otherwise.

    Directions for questions 8 to 10: The passage given below is followed by a set of three questions.Choose the most appropriate answer to each question.

    Plain speaking is necessary in any discussion of religion, for if the freethinker attacks the religious dogmaswith hesitation, the orthodox believer assumes that it is with regret that the freethinker wouldremove the crutch that supports the orthodox. And all religious beliefs are crutches hindering the free

    locomotive efforts of an advancing humanity. There are no problems related to human progress and happinessin this age which any theology can solve, and which the teachings of free thought cannot do better andwithout the aid of encumbrances.

    Havelock Ellis has stated that, The man who has never wrestled with his early faith, the faith that he wasbrought up with and that yet is not truly his ownfor no faith is our own that we have not arduouslywonhas missed not only a moral but an intellectual discipline. The absence of that discipline may marka man for life and render all his work ineffective. He has missed a training in criticism, in analysis, in open-mindedness, in the resolutely impersonal treatment of personal problems, which no other training cancompensate. He is, for the most part, condemned to live in a mental jungle where his arm will soon be toofeeble to clear away the growths that enclose him, and his eyes too weak to find the light. The man who

    has allowed his mental capacities to clear his way through the dense underbrush of religious dogma findsthat he has emerged into a purer and healthier atmosphere. In the bright light of this mental emancipationa man perceives the falsities of all religions in their historic, scientific, and metaphysical aspects. Thehealthier mental viewpoint holds up to scorn and discards the reactionary religious philosophy of morals,and the sum total of his conclusions must be that religion is doomed; and doomed in this modern day byits absolute irrelevance to the needs and interests of modern life. And this not only by the steadily increasingarmy of freethinkers, but by the indifference and neglect of those who still cling to the fast slipping folds ofreligious creeds the future freethinkers.

    It was Spinoza who remarked that, The proper study of a wise man is not how to die but how to live.Religious creeds can but teach how man should live, so that when he dies, he may be assured of salvation;

    and the important thing is not what he does to help his fellow men while heis living, but how closely he lives in conformity to a reactionary code of dogmas. Religion has always aimedto smooth the sufferers passage to the next world, not to save him for this world.

    Free thought has dethroned the gods from the pedestal, and has replaced, not an empty idol, but an ideal,the ideal of a man who is his own god.

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    8. According to the author when a man unquestioningly accepts his religion and its dogmas, he(a) has mastered intellectual discipline.(b) has won his faith.(c) emerges in a pure and healthy atmosphere for his faith.(d) misses a crucial training in criticism and broad-mindedness.

    9. What does the statement The proper study of a wise man is not how to die but how to live mean?(a) The subject of study of a wise man should be life not death.(b) One should know how wise men lived not how they died.(c) Philosophy is all about life and death.(d) One should be obsessed with life, not death.

    10. The author is most likely to be(a) a fanatic(b) a bigot(c) an atheist(d) a rationalist

    11. Five sentences are given below, labeled A, B, C, D and E. They need to be arranged in a logicalorder to form a coherent paragraph/passage. From the given options, choose the most appropriateoption.

    A. Images of the core of NGC 4150, taken in near-ultraviolet light with the sharp-eyed Wide FieldCamera 3 (WFC3), reveal streamers of dust and gas and clumps of young, blue stars that aresignificantly less than a billion years old.B. Elliptical galaxies were once thought to be aging star cities whose star-making heyday wasbillions of years ago.C. Evidence shows that the star birth was sparked by a merger with a dwarf galaxy.D. But new observations with NASAs Hubble Space Telescope are helping to show that elliptical

    galaxies still have some youthful vigor left, thanks to encounters with smaller galaxies.E. The new study helps bolster the emerging view that most elliptical galaxies have young stars,bringing new life to old galaxies.(a) ADECB (b) BDEAC (c) BDACE (d) ACDBE

    12. Five sentences are given below, labeled A, B, C, D and E. They need to be arranged in a logicalorder to form a coherent paragraph/passage. From the given options, choose the most appropriateoption.

    A. A smattering of do-gooders plead for reform.B. But it is hard to figure out exactly what sets them into motion or brings them to success.

    C. Vast moral revolutions do take place once in a while.D. A high-minded prophet in some part of the world denounces an old and dreadful social custom.E. The reform in question appears, at a glance, to be impractical, unpopular, and unlikely.

    (a) CBDAE (b) ABDEC (c) DACBE (d) ABCDE

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    13. The word given below has been used in sentences in four different ways. Choose the optioncorresponding to the sentence in which the usage of the word is incorrect or inappropriate.

    EASE(a) The Government appears to have eased back on the RTI act.(b) The tension between the two countries has eased off.(c) He crossed the road when the traffic had eased in.(d) When things ease up a bit, Ill go and meet him.

    14. The word given below has been used in sentences in four different ways. Choose the optioncorresponding to the sentence in which the usage of the word is incorrect or inappropriate.

    CHIP(a) The opposition chipped away at the power of the government.(b) The sculptor was chipping off at the stone.(c) The paint has chipped off.(d) If everyone chips in we will be able to buy a nice gift.

    15. There are two gaps in the sentence/paragraph given below. From the pairs of words given, choosethe one that fills the gaps most appropriately.

    Traditionally, Indonesians practiced a tolerant, almost ____________ brand of faith, ______ withthe Buddhist, Hindu and the animist traditions of earlier periods.(a) aesthetic, imbibed (b) syncretic, infused(c) hermetic, impelled (d) emetic, infused

    16. There are two gaps in the sentence/paragraph given below. From the pairs of words given, choose

    the one that fills the gaps most appropriately.The more I thought about the vibrant___________ Scottish nationalists driving a debate north of

    the border about what kind of relationship it wants with England, the more I grimly____________the fallout on this side of the border.(a) rejuvenated, contemplated (b) empowered, sustained(c) imaginative, learned (d) outspoken, ascertained

    17. Given below are four sentences. Each sentence has a pair of words that are italicized. From theitalicized words, select the most appropriate words (A or B) to form correct sentences. The sentencesare followed by options that indicate the words, which may be selected to correctly complete the

    set of sentences. From the options given, choose the most appropriate one.

    Any judgment by the supreme court is a definite(A)/definitive(B)one; it cant be challenged by thelower courts.

    Every system of justice strives for an equitable(A)/equable(B)distribution of wealth and resources.Metaphysics is such an esoteric(A)/exoteric(B) subject that only a handful of people can speak atlength on it.Her greatest asset was her long and luxurious(A)/luxuriant(B)hair.

    (a) ABAB (b) BAAB (c) BBBB (d) AAAA

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    18. Given below are four sentences. Each sentence has a pair of words that are italicized. From theitalicized words, select the most appropriate words (A or B) to form correct sentences. The sentencesare followed by options that indicate the words, which may be selected to correctly complete theset of sentences. From the options given, choose the most appropriate one.

    The artist uses a rich palate(A)/palette(B)of tones and timbres.It is a novel that wallows in gross sentimentality and bathos(A)/pathos(B).She was ingenuous enough to buy the meretricious(A)/meritorious(B) product from the vendor.A whopping ninety percent of the respondents unequivocably(A)/unequivocally(B) said Yes.

    (a) BAAB (b) BAAA (c) ABAB (d) BABA

    19. A paragraph is given below from which the last sentence has been deleted. From the given options,choose the one that completes the paragraph in the most appropriate way.

    Zero has had a long history. The Babylonians invented the concept of zero; the ancient Greeksdebated it in lofty terms (how could something be nothing?); the ancient Indian scholar Pingalapaired Zero with the numeral 1 to get double digits; and both the Mayans and the Romans madeZero part of their numeral systems. But Zero finally found its place around AD 498, when the Indianastronomer Aryabhatta sat up in bed one morning and exclaimed, Sthanam sthanam dasa gunam-which translates, roughly as, place to place in ten times in value. With that, the idea of decimalbased place value notion was born.

    (a) Now Zero was on a roll.(b) Now Zero spread to the Arab world.(c) Zero ultimately found plenty of employment (together with the digit 1).(d) Zero ultimately flourished in Silicon valley.

    20. A paragraph is given below from which the last sentence has been deleted. From the given options,choose the one that completes the paragraph in the most appropriate way.

    And so I cried and I prayed, and as months passed, the ceiling above my bed slowly went back tobeing just a ceiling. Taking Lucette by the hand, I went back to school. There were hundreds of otherchildren like me, children who had done nothing wrong and who, like me, had suffered some tragedyand were waiting patiently serving out their time, coping as best as they could.(a) If they did not ask questions, it was because they knew they would not like the answers.(b) At night, in the darkness, I brooded on my sadness.(c)I had loved this town all my life and today, I had to leave it.(d)The tension was palpable- the anger almost burnt the walls.

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    Section II

    21. The sum of three numbers in A.P. is 45. If the sum of their squares is 683, what is the largest of thethree numbers?(a) 16 (b) 19 (c) 17 (d) 18

    22. The average market price of three shares A, B and C is Rs. x. Shares A and C lose Rs. y each and

    B gains Rs. y .2

    As a result, the average market price of the three shares decreases by Re. 1. The

    value of y is(a) 2 (b) 3 (c) 4 (d) dependent on x

    23. =

    n!C(n,r)

    r ! (n r )!where n! n (n 1) (n 2) 2 1.= K

    What is the smallest positive integer k such that C(2k, k) is divisible by 200?(a) 23 (b) 61 (c) 13 (d) 11

    24. If a, b, and c are positive integers such that (a b + c)(b c + a)(c a + b) = 15, then what is theproduct of a, b and c?(a) 24 (b) 64 (c) 42 (d) Cannot be determined

    25. In the figure given below, ABCD is a trapezium, in which AB||CD and DP||CQ. If AP = 4 units,QB = 2 units and CD = 4 units, then what is the ratio of the area of the triangle COD to that of thetriangle AOB?

    D

    AB

    C

    4 2

    O

    4

    P Q

    (a) 4 : 25 (b) 2 : 5 (c) 1 : 2 (d) None of these

    26. A watch, which gains time uniformly, was 5 minutes behind the correct time when it showed11:55 AM on Monday. It was 10 minutes ahead of the correct time when it showed 06:10 PM on thenext day. When did the watch show the correct time?(a) 6 AM, Tuesday (b) 6 PM, Monday (c) 2 PM, Tuesday (d) 10 PM, Monday

    27. A function f(x) is defined for all real values of x as 2f(x) + f(1 x) = x2

    . What is the value of f(5)?

    (a) 10 (b) 17 (c)34

    3(d) Cannot be determined

    28. Two jars contain milk and water in the ratio 7 : 3 and 3 : 2 respectively. In what ratio should thecontents of the two jars be mixed such that the final ratio of milk and water in the resultant solutionbecomes 23 : 17?(a) 1 : 3 (b) 1 : 5 (c) 3 : 5 (d) Data Inconsistent

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    29.1/31a 2

    1b

    1c

    d

    + =

    +

    +

    +K

    If a, b, c, d etc are positive integers, then what is the value of b?(a) 2 (b) 4 (c) 3 (d) 5

    30. A car runs on four tyres and has one extra tyre. If each tyre lasts for 10,000 km then what is themaximum distance (in km) that the car can travel using the five tyres?(a) 10,000 (b) 11,000 (c) 12,500 (d) 15,000

    31. A and B start running simultaneously on a circular track from point O in the same direction. If theratio of their speeds is 6 : 1 respectively, then how many times is A ahead of B by a quarter of thelength of the track before they meet at O for the first time?(a) 4 (b) 5 (c) 7 (d) 10

    32. x and y are real numbers such that y = |x 2| |2x 12| + |x 8|. What is the least possible valueof y?(a) 6 (b) 2 (c) 2 (d) None of these

    33. The difference between the compound interest (with annual compounding) and the simple interestearned in two years on a certain sum at the rate of 18% p.a. is Rs. 972. What will the same sumamount to (in Rs.) after three years at the rate of 18% p.a. when the interest is compoundedannually?(a) 49290.96 (b) 49116.00 (c) 49280.50 (d) 49382.96

    34. In the figure given below, there is a square circumscribed by a circle. In how many ways can 9people occupy the marked positions such that each person occupies exactly one position?

    (a) 9 ! (b)

    9

    4C 4! 4!

    (c)9

    4C 4! 5!

    2(d)

    94C 4! 5!

    4

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    35. What is the sum of all the possible values of a natural number n that satisfy

    ( ) ( )2n 47 16n 16

    2 2n 2n n 2n+

    = ?

    (a) 16 (b) 18 (c) 19 (d) 20

    36. In the figure given below, ABCD is an isosceles trapezium (BC || AD) circumscribing a circle suchthat BC = 45 cm and AD = 125 cm. What is the radius of the circle?

    CB

    A D

    (a) 85 cm (b) 75 cm (c) 42.5 cm (d) 37.5 cm

    37. The degree of each term of a polynomial P(x) is odd. When P(x) is divided by (x 3), the remainderis 6. What is the remainder when P(x) is divided by (x2 9)?(a) 2x (b) 36 (c) 0 (d) Cannot be determined

    38. In the figure given below, ABCD is a square with side of length 2 cm. A semi-circle, with AB as adiameter, is drawn inside the square. The line segment CE touches the semi-circle. What is thelength (in cm) of CE?

    BA

    D C

    E

    (a) 0.5 (b) 2.5 (c)7

    3(d) 3

    39. In a community of 100 students, each student studies one or more of the two subjects

    viz. Mathematics and Chemistry. The number of students studying Mathematics is greater than thenumber of students studying Chemistry which is greater than the number of students studying bothMathematics and Chemistry. What is the maximum number of students who study Chemistry?(a) 97 (b) 49 (c) 98 (d) 50

    40. 3 log4x = log

    47x

    How many real solutions exist for the equation given above?(a) 0 (b) 1 (c) 2 (d) More than 2

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    Section III

    Directions for questions 41 to 43: Answer the questions on the basis of the information given below.The political parties mentioned in the graph given below participated in a constituency election. The graphshows the number of votes received by the candidates of six major parties and other smaller parties inRound 1 of the election. The election is held as follows: In Round 1, if a candidate gets more than 50% ofthe total number of votes cast in that round, (s)he is declared the winner of the election, else, top 5

    candidates based on the number of votes move to Round 2. In Round 2, if a candidate gets more than 50%of the total number of votes cast in that round, (s)he is declared the winner of the election, else, top 3candidates based on the number of votes move to Round 3. In Round 3, the candidate who gets themaximum number of votes in that round is declared the winner of the election. Assume that there are noties in deciding top 5, top 3 (if Round 2 happens) candidates or the winner (if Round 3 happens) in Round3.

    16,52,754 16,38,192 16,38,913 16,42,139 16,34,345 16,42,332

    1,51,325

    0

    200000

    400000

    600000

    800000

    1000000

    12000001400000

    1600000

    1800000

    AJP Kongress Junda Dal Bajrangi

    Dal

    Samajik

    Party

    Hindu

    Muslim

    Others

    Party

    NumberofVo

    tes

    41. Among the five candidates who moved to Round 2, the candidate with the maximum number ofvotes in Round 1 got what percentage of the total number of votes in that round?(a) 17.4 % (b) 19.8% (c) 16.5% (d) 18.2%

    42. If the votes received by the candidates of Samajik Party and Hindu Muslim Party in Round 1 are nottaken into account, then by what percentage points does the share of Others increase?(a) 0.64 (b) 0.74 (c) 0.84 (d) 0.94

    43. If 1 Million votes are cast in Round 2 and 3 Million votes are cast in Round 3, then what is theminimum total number of votes needed by a candidate to be declared the winner of the election?(a) 26,38,194 (b) 21,38,195 (c) 21,38,193 (d) 26,38,195

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    Directions for questions 44 and 45: Answer the questions on the basis of the information given below.

    Each of the three boys Amar, Brijesh and Chirag plays at least one of the four games among Hockey,Football, Cricket and Squash. Further information is given below.(i) If a boy plays Football, then he doesnt play Squash.(ii) At least one of the three boys plays Football and at least one plays Cricket.

    44. Chirag plays exactly three games. Amar and Brijesh play exactly two games each such that noneof the games is played by both of them. Which of the following statements must be true?(a) Amar plays Hockey.(b) If Football is played by exactly one of the three boys, then Brijesh plays Squash.(c) Squash is played by exactly two of the boys.(d) Hockey and Cricket are played by exactly two boys each.

    45. Brijesh plays Squash and Chirag plays Hockey. Neither Amar nor Chirag plays Cricket. None of thegames is played by both Brijesh and Chirag. Which of the following statements must be true?(a) Amar plays Football.(b) Brijesh plays Cricket.

    (c) Chirag plays Football.(d) Amar plays Squash.

    46. The question given below is followed by two statements, A and B. Mark the answer using thefollowing instructions:Mark (a) if the question can be answered by using one of the statements alone, but cannot beanswered by using the other statement alone.Mark (b) if the question can be answered by using either statement alone.Mark (c) if the question can be answered by using both the statements together, but cannot beanswered by using either statement alone.Mark (d) if the question cannot be answered even by using both the statements together.

    Q. Is logax > logby?A. 0 < a < 1, b > 1, x > 1, y < 1B. 0 < a < 1, 0 < b < 1, x > y

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    Directions for questions 47 to 49: Answer the questions on the basis of the information given below.The two pie charts given below specify the percentage of men and women in the various age groups A, B,C, D and E residing in a town in the year 2010.

    Group A: age 20Group B: 20 < age 25Group C: 25 < age 30Group D: 30 < age 35

    Group E: 35 < ageThese men and women contribute to the income of their town and the ratio of mens contribution towomens contribution is 4 : 5. Assume that all the people residing in the town are represented in the piecharts.

    Total Men = 3200

    B

    40%

    C

    15%

    D

    10%

    E

    5%

    A

    30%

    Total Women = 3800

    B

    25%

    C

    20%

    D

    25%

    E

    15%A

    15%

    47. What is the ratio of mens contribution from Group D to womens contribution from Group C to the

    towns income?(a) 2 : 5 (b) 4 : 5 (c) 8 : 19 (d) Data Insufficient

    48. In 2011 the number of women in Group C increases by 15%. By what percentage will the totalnumber of women in the town increase?(a) 15% (b) 3% (c) 5% (d) Cannot be determined

    49. If the average contribution of men to the towns income is Rs 35,000, then what is the averagecontribution of women to the towns income?(a) Rs 36,842 (b) Rs 36,742 (c) Rs 36,942 (d) Rs 37,042

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    Directions for questions 50 and 51: Answer the questions on the basis of the information given below.In a gathering of some friends, it was observed that five of the friends dont like to play cards, five dont liketo watch TV and five dont like to listen to songs. Among those who like to play cards, only four like towatch TV. Among those who like to watch TV, only three like to listen to songs. Among those who listen tosongs, only two like to play cards. Only one of the friends likes all the three activities mentioned.

    50. What is the total number of friends in the gathering?(a) 15 (b) 14 (c) 11 (d) Cannot be determined

    51. What is the number of friends who like exactly one of the three activities mentioned?(a) 3 (b) 4 (c) 5 (d) Cannot be determined

    52. Five people Amir, Bimal, Chatur, Deepak and Ehsan are standing in a row facing East. It isalso known that:(i) Amir is standing adjacent to neither Bimal nor Ehsan.(ii) Chatur is standing to the immediate left of Amir.(iii) Either Bimal or Ehsan, but not both, is standing at one of the ends.(iv) Ehsan is standing to the right of Chatur.

    Who among the five is standing in the middle of the row?(a) Amir (b) Chatur (c) Deepak (d) Either Bimal or Ehsan

    53. The question given below is followed by two statements, A and B. Mark the answer using thefollowing instructions:Mark (a) if the question can be answered by using one of the statements alone, but cannot beanswered by using the other statement alone.Mark (b) if the question can be answered by using either statement alone.Mark (c) if the question can be answered by using both the statements together, but cannot beanswered by using either statement alone.Mark (d) if the question cannot be answered even by using both the statements together.

    Q. What is the sum of two numbers?A. The LCM of the two numbers is 46.B. One of the two numbers is 23.

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    Directions for questions 54 and 55: Answer the questions on the basis of the information given below.

    The table given below is a part of the Profit & Loss statement of a company XYZ Limited from 2006 to 2011.

    All the values are given in Rs Crores.

    Particulars 2011 2010 2009 2008 2007 2006

    INCOME :

    Sales Turnover 258,651.15 200,399.79 146,328.07 139,269.46 118,353.71 89,124.46

    Excise Duty 10,481.15 7,938.77 4,369.07 5,463.68 6,654.68 8,246.67

    Net Sales 248,170.00 192,461.02 141,959.00 133,805.78 111,699.03 80,877.79

    Other Income 3,142.19 2,460.47 2,148.40 6,615.62 478.28 682.92

    Stock Adjustments 3,243.05 3,947.89 427.56 -1,867.16 654.60 2,131.19

    Total Income 254,555.24 198,869.38 144,534.96 138,554.24 112,831.91 83,691.90

    EXPENDITURE :

    Raw Materials 194,698.19 150,915.03 107,010.32 96,311.56 78,692.94 58,342.31

    Power & Fuel Cost 2,255.07 2,706.71 3,355.98 2,052.84 2,261.69 1,146.26

    Employee Cost 2,581.82 2,307.73 2,357.40 2,049.95 2,045.95 932.09

    Other Manufacturing Expenses 6,599.73 5,578.24 3,704.00 3,951.40 3,486.87 2,217.72

    Selling and Administration

    Expenses7,163.28 5,549.74 4,619.24 4,882.01 5,342.31 5,765.46

    Miscellaneous Expenses 109.97 -11.33 1,379.92 547.30 588.85 461.19

    Less: Pre-operative Expenses

    Capitalized30.26 1,217.92 3,265.65 175.46 111.21 155.14

    Total Expenditure 213,377.80 165,828.20 119,161.21 109,619.60 92,307.40 68,709.89

    54. Which year saw the maximum percentage change in Total Income as compared to the previous

    year?

    (a) 2011 (b) 2010 (c) 2009 (d) 2007

    55. In which year is the ratio of Sales Turnover to Total Income the highest?

    (a) 2011 (b) 2009 (c) 2007 (d) 2006

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    Directions for questions 56 and 57: Answer the questions on the basis of the information given below.Seven books, two each of Mathematics and Chemistry and three of Physics, are to be placed in order ona shelf. The two Mathematics books are of Algebra and Geometry, the two Chemistry books are of Organicand Inorganic and the three Physics books are of Kinetics, Thermodynamics and Electromagnetics.

    The following conditions are to be kept in mind while placing the books:(i) All the books of a subject must be placed together.(ii) The Chemistry books should be placed between Mathematics and Physics books.

    (iii) The Thermodynamics book must be placed before the Electromagnetics book.(iv) The Algebra book must be placed before the Geometry book.

    56. If the Electromagnetics book is placed immediately before the Kinetics book, then which of thefollowing statements may be true?(a) The Thermodynamics book is placed at the second position.(b) The Thermodynamics book is placed at the third position.(c) The Geometry book is placed at the sixth position.(d) The Geometry book is placed at the seventh position.

    57. If a Chemistry book is placed adjacent to the Thermodynamics book, then which of the following

    statements must be false?(a) The Kinetics book is placed before the Geometry book.(b) The Kinetics book is placed before the Electromagnetics book.(c) The Inorganic book is placed before the Thermodynamics book.(d) The Electromagnetics book is placed before the Kinetics book.

    58. Given below is a tabular description of Ethanol produced from Sweet Sorghum, Sugarcane andMaize. The total Ethanol produced is the sum total of Ethanol produced from grain, stalk cane juiceand residue.

    Sweet Sorghum Sugarcane MaizeCrop Duration 4 months 12 months 3 months

    Ethanol from grain (l/ha) 760 0 1400

    Ethanol from stalk cane juice (l/ha) 1400 5600 0

    Ethanol from residue (l/ha) 1000 3325 1816

    Total Ethanol Cost ($/ha) 1200 4200 1000

    Selling Price of Ethanol = Rs. 27 per liter; 1$ = Rs 50. Crop Duration refers to the time it takes fora crop to get matured for producing Ethanol. Assume that the entire produce gets sold in the

    market.If a farmer makes three cultivations of Sweet Sorghum, one cultivation of Sugarcane and fourcultivations of Maize during a year, then what is the order of the three crops according to the profit($/ha) achieved from them in a year?

    (a) Sweet Sorghum > Sugarcane > Maize(b) Maize > Sugarcane > Sweet Sorghum(c) Sweet Sorghum > Maize > Sugarcane(d) Maize > Sweet Sorghum > Sugarcane

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    Directions for questions 59 and 60: Answer the questions on the basis of the information given below.Three teams A, B and C participated in a Football tournament in which the teams play with one anotherexactly once. A win fetches a team 2 points and a draw 1 point. A team gets no points for a loss. Eachteam scored exactly 1 goal in the tournament. A, B and C scored 3, 2 and 1 points respectively.

    59. What was the result of the match A v/s B?(a) A won (b) B won(c) A drew with B (d) Cannot be determined

    60. How many goals were scored by C against B?(a) 1 (b) 2(c) 0 (d) Cannot be determined