XAT Question Paper 2008Instructions :1. This question paper consists of three sections A, B and C with 38, 38 and 44 quest...
Toqueville describers an American elite embarrassed by                 but not with action.the ostentation of material dis...
3. It is clear that ethics cannot be put into words.           A. ambivalence, prostate, immoral, amoral         Ethics is...
and (2) the expansive transcendent function, the root        Directions: (19 to 26): Go through the caselets belowmetaphor...
C. People who are multilingual usually pay              24.   According to a recent research conducted by the          max...
Direction (27 and 28): Go through the caselets below         not a single entity but an amalgamation, a “construct”and ans...
principal elements of the Karma doctrine: “The same           34.   As per the author, which of the followingperson enjoys...
some very rough experiments in which very large                    B. Precise measurement is both a necessary andmargins o...
39.    On Wednesdays, the Professor could be                  medical institutes, two management institutes, and two      ...
Question No 47 to 50: During a four-week period each           of exactly six words and satisfies the following conditions...
are stores 1, 3, 5, 7 and 9; on the southern side of the        Go through the situation and the accompanyingstreet, also ...
Read the following situation and choose the best                    B. Reduce the number of female employees, aspossible a...
67.   A database software manufacturing company                    A. Apologize and fix up the bug for all customers      ...
Read the following caselet and choose the best                 71.   The most important causal factor for this entirealter...
74.                     Out of the following, which one seems to be the             2. Finance department - for not taken ...
80.   If 20% of the girls opt for HR electives, then the           A. Using the given statement, only conclusion I      to...
90.   For each p > 1, a sequence {An} is defined by            97.   If [x] denotes the greatest integer < = x, then      ...
Xat 2008 questions
Xat 2008 questions
Xat 2008 questions
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Xat 2008 questions

  1. 1. XAT Question Paper 2008Instructions :1. This question paper consists of three sections A, B and C with 38, 38 and 44 questions respectively, i.e. a total 120 questions. Total time for the test is 120 minutes.2. You are required to answer questions from all three sections and expected to maximize scores in each section.3. Each correct answer will be awarded 1 (one) mark. NEGATIVE MARKS (one fourth of a mark) may be deducted for the first six incorrect answers in each section and 0.5 (half a mark) for each incorrect answer thereafter.SECTION A: VERBAL AND LOGICAL ABILITYAnalyse the passage given and provide an buying more confident in buying, and much more willingappropriate answer for the question nos. 1 through to tolerate things like waiting in line. On the other hand,6 that follow. being in a mood makes buying behaviour in the “right mood” by the use of music and friendly staff or, say,Every conscious mental state has a qualitative character opens bakeries in shopping malls that delight the passer-that we refer to as mood. We are always in a mood that by with the smell of fresh bread.is pleasurable or unpleasurable to some degree. It may Thayer views moods as a mixture of biological andbe that bad moods relate to their being too positive psychological influences and, as such, a sort of clinicalreinforcement in a person’s current life and too many thermometer, reflecting all the internal and externalpunishments. In any case, moods are distinguished from events that influence us. For Thayer, the key componentsemotions proper by not being tied to any specific object. of mood are energy and tension in different combinations.But, this distinction is not watertight, in that emotions A specific mixture of energy and tension, together withneed not be directed at objects that are completely the thoughts they influence, produces moods. He discussspecific (we can be angry just at people generally) while four mood states:there is always a sense of a mood having a generalobjective like the state of the world at large. Moods • Calm - energy: he regards this as the optimalmanifest themselves in positive or negative feelings that mood of feeling goodare tied to health, personality, or perceived quality of • Calm - tiredness: he regards this as feeling littlelife. Moods can also relate to emotions proper as in the tired without any stress, which can be pleasant.aftermath of an emotional incident such as the failure to • Tense - energy: involves low level of anxietysecure a loan. A mood on this basis is the mind’s suited to a fight - or - flight disposition.judgment on the recent past. For Goldie, emotion can • Tense - tiredness: is mixture of fatigue andbubble up and down within a mood, while an emotion anxiety, which underlines the unpleasant feelingcan involve characteristics that are non-object specific. of depression.What is important for marketing is that moods colour People generally can “feel down” or “feel good” as resultoutlook and bias judgements. Hence the importance of of happenings in the world around them. This representsconsumer confidence surveys, as consumer confidence the national mood. People feel elated when the nationaltypically reflects national mood. There is mood- soccer team wins an international match or depressedcongruence when thoughts and actions fall in-line with when their team has lost. An elated mood of calm -energymood. As Goleman says, there is a “constant stream of is an optimistic mood, which is good for business.feeling” that runs “in perfect to our steam of thought”. Consumers, as socially involved individuals, are deeplyMood congruence occurs because a positive mood influenced by the prevailing social climate. Marketersevokes pleasant associations that lighten subsequent recognize the phenomenon and talk about the nationalappraisals (thoughts) and actions, while a negative mood being, say for or against conspicuous consumption.arouses future judgment and behavior. When consumers Moods do change, though. Writing early in the nineteenthare in a good mood, they are more optimistic about century.XAT – 2008 1
  2. 2. Toqueville describers an American elite embarrassed by but not with action.the ostentation of material display; in the “Gilded Age”, E. When moods are synchronous with action butsixty years later, many were only too eager to embrace not with though.a materialistic vulgarity. The problem lies in anticipating 4. Implication and Proposition are defined as follows:changes in national mood, since a change in mood Implication: a statement which follows from theaffects everything from buying of equities to the buying given text.of houses and washing machines. Thayer would argue Proposition: a statement which forms a part ofthat we should be interested in national events that are the given text.likely to produce a move towards a tense - tiredness Consider the two statements below and decidestate or toward a calm - energy state, since these are whether they are implications or propositions.the polar extremes and are more likely to influence I. The marketers should understand and makebehavior. Artists sensitive to national moods express the use of moods and emotions in designing andlong-term changes. An example is the long - tem selling products and services.emotional journey from Charles Dickens’ depiction of II. Consuming is nothing but way of feeling thethe death of little Nell to Oscar Wilde’s cruel flippancy void in consciousness.about it. “One would have to have a heart of stone not to A. Both statements are implications.laugh at the death of little Nell”. Which reflects the mood B. First is implication, second is proposition.change from high Victorian sentimentality to the acerbic C. Both are propositions.cynicism of the end of the century, as shown in writers D. First is propositions, second is implication.like Thomas Hardy and artists like Aubrey Beardsley. E. Both are neither implication nor proposition.Whenever the mind is not fully absorbed, consciousnessis no longer focused and ordered. Under such conditions 5. Which statements from the ones given below arethe mind falls into dwelling on the unpleasant, with a correct?negative mood developing. 1. In general, emotions are object specify 2. In general, moods are not object specific.Csikszentmihalyi argues that humans need to keep 3. Moods and emotions are same.consciousness fully active is what influences a good deal 4. As per Thayer, moods are a mix of biologicalof consumer behaviour. Sometimes it does not matter and psychological influenceswhat we are shopping for - the point is to shop for A. 1, 2, 3 B. 2, 3, 4anything, regardless, as consuming is one way to respond C. 1, 2, 4 D. 2, 4, 3to the void in consciousness when there is nothing else E. All four are rightto do. 6. The statement “Moods provide energy for human1. Which one of the following statements best actions” is_____. summarizes the above passage? A. always right. B. sometimes right. A. The passage highlights how moods affect nations. C. always wrong B. The passage draws distinction between moods D. not derived from the passage. and emotions. E. contradictory. C. Some writer influenced national moods Directions (7 to 9): Carefully read the statements in through their writings. the questions below and arrange them in a logical D. Thayer categorised moods into four sates. E. The passage highlights the importance of order. moods and emotions in marketing. 7: 1. So too it is impossible for there to be proposition2. Which of the following is the closest to of ethics. Proposition cannot express that is “conspicuous consumption” in the passage? higher. A. Audible consumption 2. The sense of the world must be outside the B. Consumption of material items for impressing world. In the world everything is as it is and others everything happens as it does happen: in it no C. Consumption driven by moods and emotions value exists-and if it did exist, it would have no D. Socially responsible consumption value. If there is any value that does have a E. Private but not public consumption value, it must lie outside whole sphere of what3. What is “moods congruence”? happens and is the case. For all that happens A. When moods and emotions are synchronized. and is the case is accidental. What makes it B. When emotions are synchronous with actions non-accidental cannot lie within the world, since and thoughts. if it did it would it self be accidental. It must lie C. When moods are synchronous with thoughts outside world. and actions. D. When moods are synchronous with thoughts2 XAT – 2008
  3. 3. 3. It is clear that ethics cannot be put into words. A. ambivalence, prostate, immoral, amoral Ethics is transcendental. B. ambivalence, prostrate, amoral, immoral 4. All propositions are of equal value. C. ambiguity, prostrate, amoral immoral A. 4 - 2 - 1 - 3 B. 2 - 1 - 3 - 4 D. ambivalence, prostrate, immoral, amoral C. 1 - 3 - 4 - 2 D. 4 - 3 - 1 - 2 E. ambiguity, prostrate, immoral amoral E. 3 - 1 - 2 - 4 12. It is not ________ democratic that the parliament8: 1. The fact all contribute only to setting the should be _________ on issues and resort to problem, not to its solution. passing _______ rather than have an open debate 2. How things are in the world is a matter of on the floor of the house. complete indifference for what is higher. God A. quite, quite, ordinances does not reveal himself in the world. B. quite, quiet, ordnances 3. To view the world sub specie aeterni is to view C. quiet, quite, ordnances it as a whole - a limited whole. D. quiet, quiet, ordinances Feelings the world as a limited whole - it is this E. quite, quiet, ordinances that is mystical. 4. It is not how things are in the world that is 13. In a case of acute ______, _______ membranes mystical, but that it exists. secrete excessive __________. A. 1 - 2 - 3 - 4 B. 2 - 1 - 3- 4 A. sinus, mucous, mucous C. 3 - 1 - 4 - 2 D. 3 - 4 - 1 - 2 B. sinus, mucus, mucous E. 2 - 1 - 4 - 3 C. sinusitis, mucous, mucus D. sinus, mucous, mucus9: 1. The operation is what has to be done to one E. sinusitis, mucus, mucous proposition in order to make other out of it. 2. Structure of proposition stands in internal 14. If a person makes the statement: “ I never speak relations to one another. the truth.” The person can be said to be 3. In order to give prominence to these internal ________. relations we can adopt the following mode of A. speaking the truth. expression: we can represent a proposition as B. lying. the result of an operation that produces it out C. lying as well as speaking the truth of other propositions (which are bases of the D. making a logically contradictory statement operation). E. partially speaking the truth and partially lying. 4. An operation is the expression of a relation Analyse the passage given and provide an between the structure of its result and of its appropriate answer for the question nos. 15 through bases. A. 2 - 3 - 4 - 1 B. 1 - 2 - 3 - 4 18 that follow. C. 4 - 3 - 1 - 2 D. 2 - 1 - 3 - 4 Enunciated by Jung as an integral part of his psychology E. 4 - 1 - 2 - 3 in 1916 immediately after his unsettling confrontationDirections (10 to 14): Choose the appropriate words with the unconscious, the transcendent function was seento fill in the blanks. by Jung as uniting the opposites, transforming psyche, and central to the individuation process.10. Mark Twain was responsible for many striking, mostly cynical ____, such as “ Always do right. It also undoubtedly reflects his personal experience in That will gratify some of the people, and astonish coming to terms with the unconscious. Jung portrayed the rest”. ________ can sometimes end up as the transcendent function as operating through symbol _____, but rarely would someone use them as and fantasy and mediating between the opposites of an________. consciousness and the unconscious to prompt the A. epitaphs, Epitaphs, epigrams, epigraph emergence of a new, third posture that transcends the B. epigraphs, Epigraphs, epitaphs, epigraph C. epigrams, Epigrams, epigraphs, epitaph two. In exploring the details of the transcendent function D. epigrams, Epitaphs, epigrams, epigraph and its connection to other Jungian constructs, this work E. epitaphs, Epitaphs, epigraphs, epigram has unearthed significant changes, ambiguities, and inconsistencies in Jung’s writings. Further, it has identified11. A candidate in the medical viva voce exam faced two separate images of the transcendent function: (1) a tinge of intellectual ______ when asked to spell the ___ gland. The fact that he carried notes on the narrow transcendent function, the function or process his person would definitely be termed as ___ by within Jung’s pantheon of psychic structures, generally factually, but may be termed as _______ by more seen as the uniting of the opposites of consciousness generous sections of students. and the unconscious from which a new attitude emerges;XAT – 2008 3
  4. 4. and (2) the expansive transcendent function, the root Directions: (19 to 26): Go through the caselets belowmetaphor for psyche or being psychological that and answer the questions that follow.subsumes Jung’ pantheon and that apprehends the mostfundamental psychic activity of interacting with the Question No. (19 to 20): According to recent reports,unknown or other. This book has also posited that the CEOs of large organisations are paid more that CEOsexpansive transcendent function, as the root metaphor of small organizations. It does not seem fair that justfor exchanges between conscious and the unconscious, because a CEO is heading a big organization s/he shouldis the wellspring from whence flows other key Jungian be paid more. CEOs salary should be related tostructures such as the archetypes and the Self, and is performance, especially growth in terms of sales andthe core of the individuation process. The expansive profits. Of course, big organisations are more complextranscendent function has been explored further by than the small, but all CEOs require significant amount of energy and time in managing organisations. There issurveying other schools of psychology, with both death no proof then CEOs of small organisations. All CEOsand non-death orientations, and evaluating the should be paid according to their performance.transcendent function alongside structures or processin those other schools which play similar mediatory and 19. A person seeking to refute the argument might/ or transitional roles. argue that A. CEOs should be paid equally.15. The above passage is most likely an excerpt from: B. Managing big organisation is more challenging A. research note that small . B. An entry on a psychopathology blog C. If CEOs of small companies perform well, the C. A popular magazine article company would become big and so would be D. A newspapers article CEOs salary. E. A scholarly treatise D. CEOs who travel more should be paid more. E. Highly qualified CEOs should be paid more16. It can be definitely inferred from the passage because they have acquired difficult education. above that A. The expansive transcendent function would 20. Which of the following, if true, would strengthen include elements of both the Consciousness the speaker’s argument? and the Unconscious. A. CEOs of small organisations come from good B. The transcendent is the core of the individuation educational background. process. B. CEOs in big organisation take much longer to C. Archetypes emerge from the narrow reach top, as compared to their counterparts in transcendent function. small organisations. D. The whole work, from which this excerpt is C. CEOs of big organisations are very difficult to taken, primarily concerns itself with the hire. inconsistencies is Jung’s writings. D. A few big family businesses have CEOs from E. Jung’s pantheon of concept subsumes the root within the family. metaphor of psyche. E. Big organisations contribute more towards moral development of society.17. A comparison similar to the distinction between the two images of the transcendent function would Question no (21 to 22) Hindi ought to be the official be: language of India. There is no reason of the government A. raucous: hilarious B. synchronicity: ontology to spend money printing documents in difference C. recession: withdrawal D. penurious: decrepit languages, just to cater to people who cannot read/write E. None of these Hindi. The government has better ways to spend tax payers’ money. People across India should read/write18. As per the passage, the key Jungian structure - Hindi or learn it at the earliest. other that the Self - that emerges from the expansive transcendent function may NOT be 21. Which of the following, if true, would weaken the expressed as a(n): speaker’s argument the most? A. Stereotype B. Anomaly A. The government currently translates official C. Idealized model D. Original pattern documents into more than eighteen languages. E. Epitome B. Hindi is the most difficult language in the world to speak.4 XAT – 2008
  5. 5. C. People who are multilingual usually pay 24. According to a recent research conducted by the maximum taxes. district road planning department, ten percent D. Mot people who travel across India learn Hindi students come with parents in cars, twenty percent within five years. students use auto - rickshaws, twenty percent E. Making Hindi the official language is a students use taxis, forty percent students use the politically unpopular idea. school buses and ten percent students live in the hostel inside the school.22. United Nations members contribute funds, Which of the following is true about the above proportionate to their population, for facilitating paragraph? smooth functioning of the UN. By 2010, India, A. It extends speaker’s argument using a analogy. being the most populous nation on the planet, B. It extends the speaker’s argument using statistical data. would contribute the maximum amount to the UN. C. It is similar to speaker’s argument. Therefore, official language of United Nations D. It contradicts the speaker’s argument using should be changed to Hindi.? statistical data. Which of the following is true? E. It concludes speaker’s argument by using A. The point above contradicts the speaker’s personalization. argument. B. The point above is similar to speaker’s Question No (25 and 26): History, if viewed as a argument. repository not merely of anecdotes or chronology, could C. The point above concludes speaker ’s produce a decisive transformation in the image of argument. science by which we are now possessed. That image D. The point above extends the speaker ’s has previously been drawn, even by scientists argument. themselves, mainly from the study of finished scientific E. The point above strengthens the speaker’s achievements as these are recorded in the classics and, argument. more recently, in the textbooks from which each new scientific generation learns to practice its trade.Questions No (23 and 24): The Bistupur - Sakchi cornerneeds a speed - breaker. Loyola school children cross 25. Which of the following best summarizes the abovethis intersection, on their way to the school, and many a paragraph?times do not check out for traffic. I get to read regular A. Scientific achievements are record in classicsreports of cars and other vehicles hitting children. I know and text books.that speed - breakers are irritating for drivers and I know B. Different ways of looking at history canthat children cannot be protected from every danger, produce altogether different knowledge.but this is one of the worst intersections in town. There C. History of science can be inferred fromneeds to be a speed - breaker so that vehicles have to finished scientific achievementslow down and the children be made safer. D. Text books may be biased. E. All of above.23. Which of the following arguments is used in the 26. Which of the following statements is the author above passage? most likely to agree with? A. Analogy - comparing the intersection to A. History of science presents a scientific way of something dangerous looking at scientific development and thus B. Statistical analysis - noting the number of contributes to progress in science. children hit by vehicles B. History of science should contain only the C. Personalization - telling the story of one child’s chronology of the scientific achievements. near accident at the intersection C. More number of scientific theories results in D. Attack - pointing out people who are against more number of publications, which benefits speed - breakers as being uncaring about publishers. children D. History of science should purposely present E. Emotive - referring to the safety of children to different images of science to people. get people interested E. History of science can present multiple interpretations to people regarding the process of scientific development.XAT – 2008 5
  6. 6. Direction (27 and 28): Go through the caselets below not a single entity but an amalgamation, a “construct”and answer the questions that follow. arising from the conjoining of innumerable, discrete parts. Modern scholarship has, quite properly, tended to explore27. Goodricke Group Ltd is planning to give top priority these elements in isolation. (In part, this trend represents to core competence of production and marketing the conscious reversal of the stance taken by an earlier of tea in 2007. The company intends to increase generation of scholars whose work reified India into a the production of orthodox varieties of tea. monolithic entity - a critical element in the much maligned Goodricke is planning to invest Rs. 10 crore to “Orientalist” enterprise). Nonetheless, the representation modernise the factories. The company has of India as a singular “Whole” is not an entirely capricious announced a net profit of Rs. 5.49 crore for 2006 enterprise; for India is an identifiable entity, united by - if as against Rs. 3.76 crore in 2005. not born out of - certain deep and pervasive structures. Which of the following can be deduced from the Thus, for example, the Hindu tradition has long caselet? maintained a body of mythology that weaves the A. Production and marketing is core competence disparate temples, gods, even geographic landscapes of Goodricke Group. that exist throughout the subcontinent into a unified, albeit B. Increase in production of existing products syncretic, whole. enhances core competence. C. Core competence leads to modernization. In the realm of thought there is no more pervasive, D. Goodricke has given top priority to production unifying structure than karma. It is the “doctrine” or “law” because it has earned net profit of Rs. 5.49 that ties actions to results and creates a determinant crore. link between an individual’s status in this life and his or E. Core competence can be used for furthering her fate in future lives. Following what is considered to company’s interests. be its appearances in the Upanishads, the doctrine reaches into nearly every corner of Hindu thought.28. The author reflects on the concept of Blue Ocean Indeed, its dominance is such in the Hindu world view Strategy. He explains that this concept delivers that karma encompasses, at the same time, life-affirming an instinctive framework for developing and life-negating functions; for just as it defines the world uncontested market space and making the in terms of the “positive” function of delineating a doctrine competition irrelevant. The author remarks that of rewards and punishments, so too it defines the world the Blue Ocean Strategy is about having the best through its “negative” representation of action as an all mix of attributes that result in creation of but inescapable trap, an unremitting cycle of death and uncontested market space and high growth, and rebirth. not about being the best. The above paragraph appears to be an attempt Despite - or perhaps because of - karma’s ubiquity, the at doctrine is not easily defined. Wendy Doniger O’ Flaherty A. reviewing an article or a book on Blue Ocean reports of a scholarly conference devoted to the study strategy. of karma that although the participants admitted to a B. defining Blue Ocean strategy. general sense of the doctrine’s parameters, considerable C. developing the framework for Blue Ocean item was in a “lively but ultimately vain attempt to define strategy. ... karma and rebirth”. The base meaning of the term D. highlighting how Blue Ocean strategy leads “Karma” (or, more precisely, in its Sanskrit stem form, to better returns. Karman a neuter substantive) is “action”. As a doctrine, E. None of above. Karma encompasses a number of quasi - independent concepts: rebirth (punarjanam), consequence (phala,Analyse the following passage and provide an literally “fruit,” a term that suggest the “ripening” of actionsappropriate answer for the question nos. 29 through into consequences), and the valuation or “ethic-ization”35 that follow. of acts, qualifying them as either “good” (punya or sukarman) or “bad” (papam or duskarman).India is renowned for its diversity. Dissimilitude aboundsin every sphere from the physical elements of its land In a general way, however, for at least the past twoand people to the intangible workings of its beliefs and thousand years, the following (from the well known text,practices. Indeed, given this variety, India appears to be the Bhagvata Purana) has held true as representing the6 XAT – 2008
  7. 7. principal elements of the Karma doctrine: “The same 34. As per the author, which of the followingperson enjoys the fruit of the same sinful or a meritorious statements is wrong?act in the next world in the same manner and to the A. India is a diverse country.manner and extent according to the manner and extent B. Doctrine of Karma runs across divergent Hinduto which that (sinful or meritorious) act has been done thoughts.by him in this world.” Nevertheless, depending on the C. Doctrine of Karma has a rich scholarlydoctrine’s context, which itself ranges from its discourse.appearance in a vast number of literary sources to its D. Modern scholars have studied Hinduism as ausage on the popular level, not all these elements may syncretic whole.be present (though in a general way they may be implicit). E. Scholars could not resolve the meaning of Karma.29. The orientalist perspective, according to the author: 35. Which of the following, if true, would be required A. Viewed India as country of diversity. for the concept of Karma - as defined in Bhagavata B. Viewed India both as single and diverse entity. Purana - to be made equally valued across C. Viewed India as if it was a single and unitary different space-time combinations? entity devoid of diversity. A. The information of the past actions and the D. Viewed India as land of ?Karma. righteousness of each action would be E. Viewed India in the entirely. embodied in the individual.30. “Reify” in the passage means: B. Karma is judged based on the observers’ A. Reversal of stance perception, and hence the observer is a B. Unitary whole necessary condition for its validity. C. To make real out of abstract C. Karma is an orientalist concept limited to D. Diversity oriental countries. E. Unity in diversity D. Each epoch will have its own understanding of Karma and therefore there can not be uniform31. “Ethic-ization” in the passage means validity of the concept of Karma. A. Process making something ethical E. Each space-time combination would have B. Converting unethical persons into ethical different norms of righteousness and their C. Teaching ethics respective expert panels which will judge each D. Judging and evaluation action as per those norms. E. None of these32. Consider the following statements: Analyse the passage given and provide an 1. Meaning of Karma is contextual. appropriate answer for the question nos. 36 through 2. Meaning of Karma is not unanimous. 38 that follow. 3. Meaning of Karma includes many other quasi independent concepts. Deborah Mayo is a philosopher of science who has 4. Karma also means actions and their rewards. attempted to capture the implications of the new experimentalism in a philosophically rigorous way. Mayo Which of the above statements are true? focuses on the detailed way in which claims are validated A. 1, 2, 3 B. 2, 3, 4 by experiment, and is concerned with identifying just C. 1, 3, 4 D. None of these what claims are borne out and how. A key idea underlying E. All the four are true. her treatment is that a claim can only be said to be supported by experiment if the various ways in which33. The base meaning of “Karma, is: the claim could be at fault have been investigated and A. Reward and punishment. eliminated. A claim can only be said to be borne out by B. Only those actions which yield a “phala”. experiment and a severe test of a claim, as usefully C. Any action. construed by Mayo, must be such that the claim would D. Ripening of actions into consequences. be unlikely to pass it if it were false. E. None of these. Her idea can be explained by some simple examples. Suppose Snell’s law of refraction of light is tested byXAT – 2008 7
  8. 8. some very rough experiments in which very large B. Precise measurement is both a necessary andmargins of error are attributed to the measurements of sufficient condition to ensure validity ofangels of incidence and refractions, and suppose that conclusion resulting from an experiment.the results are shown to be compatible with the law within C. Experimental data might support multiplethose margins of error. Has the law been supported by theoretical explanations at the same time,experiments that have severely tasted it? From Mayo’s hence validity of theories needs to be tested[perspective the answer is “no” because, owing to the further.roughness of the measurements, the law of refraction D. Precise measurement along withwould be quite likely to pass this test even if it were experimenter’s knowledge of the theoryfalse and some other law differing not too much from underpinning the experiment is sufficient toSnell’s law true. An exercise I carried out in my school- ensure the validity of conclusions drawn fromteaching days serves to drive this point home. My experiment.students had conducted some not very careful E. All of theseexperiments to test Snell’s law. I then presented themwith what had been suggested in antiquity and mediaeval 37. As per Mayo’s perspective, which of the followingtimes, prior to the discovery of Snell’s law and invited best defines the phrase “scientific explanation”?the students to test them with the measurements they A. One which is most detailed in its explanationhad used to test Snell’s law; because of the wide margins of natural phenomena.of error they had attributed to their measurements, all of B. One which survives examinations better thanthese alternative laws pass the test. This clearly brings other explanations.out the point that the experiments in question did not C. One which has been thoroughly tested byconstitute a severe test of Snell’s law. The law would scientific experts.have passed the test even if it were false and one of the D. One which refutes other explanationshistorical alternatives true. convincingly. E. All of these.36. Which of the following conclusion can be drawn from the passage? 38. The author’s use of Snell’s law of refractions to A. Precise measurement is a sufficient condition illustrate Mayo’s perspective can best said to be to ensure validity of conclusions resulting from A. Contrived. B. Premeditate. an experiment. C. Superfluous. D. Illustrative E. Inadequate.SECTION B: ANALYTICAL REASONING & DECISION MAKINGDirections (Questions No. 39 to 59): Each group of schedule MUST satisfy the following restrictions:questions in this section is based on a set ofconditions. In answering some of the questions, it She conducts quizzes on exactly three mornings.may be useful to draw a rough diagram. Choose the If she conducts quizzes on Monday, she does not conductresponse that most accurately and completely a quiz on Tuesday.answers each question and blacken thecorresponding space on your answer sheet. She lectures in the afternoon on exactly two consecutive calendar days.Questions No 39 42: Professor Mukhopadhay worksonly on Mondays, Tuesdays, Wednesdays, Fridays and She evaluates quizzes on exactly one morning and threeSaturdays. She performs four different activities- afternoons.lecturing, conducting quizzes, evaluating quizzes andworking on consultancy projects. Each working day she She works on consultancy project on exactly oneperforms exactly one activity in the morning and exactly morning.one activity in the afternoon. During each week her work On Saturday, she neither lectures nor conducts quizzes.8 XAT – 2008
  9. 9. 39. On Wednesdays, the Professor could be medical institutes, two management institutes, and two scheduled to technical institutes. These eight institutions are located A. Conduct a quiz in the morning and lecture in as follows: the afternoon. B. Work on a consultancy project in the morning No institution is in more than one of the states. and conduct a quiz in the afternoon. None of the states contains more than one management C. Lecture in the morning and evaluate quizzes institute, and none contains more than one technical in the afternoon. institute. D. Conduct a quiz in the morning and work on None of the states contains both a management institute consultancy project in the afternoon. and a technical institute. E. Evaluate quizzes in the morning and evaluate Each management institute is located in a state that quizzes in the afternoons. contains at least one medical institute. The technical institutes are located in two states that do40. Which one of the following statements must be not share a common boundary. true? State 3 contains a technical institute, and State 6 contains A. There is one day on which she evaluates a management institute. quizzes both in the morning and in the afternoon. 43. Which one of the following could be true? B. She works on consultancy project on one of A. State 1 contains exactly one technical institute the days on which lecturers. B. State 2 contains exactly one management C. She lectures on one of the days on which she institute conducts quiz. C. State 5 contains exactly one technical institute D. She works on consultancy project on one of D. State 6 contains exactly one technical institute the days on which she evaluates quizzes. E. State 1 contains exactly one medical institute E. She lecturers on one of the days on which evaluates quizzes. 44. A complete and accurate list of the states, any one of which could contain the management41. If the Professor conducts a quiz on Tuesday, then institute that is not in State 6, would be ________. her schedule for evaluating quizzes could be A. 1, 4 B. 2, 4 A. Monday morning, Monday afternoon, Friday C. 1, 4, 5 D. 4, 5 morning, Friday afternoon. E. 1, 2, 4, 5 B. Monday morning, Friday afternoon, Saturday morning, Saturday afternoon 45. If each of the six states contains at least one of C. Monday afternoon, Wednesday morning, the eight institutions, then which one of the Wednesday afternoon, Saturday afternoon following must be true? D. Wednesday morning, Wednesday afternoon, A. There is management institute in state 1 Friday afternoon, Saturday afternoon B. There is a medical institute in state 2 E. Wednesday afternoon, Friday afternoon, C. There is a medical institute in state 3 Saturday morning, Saturday afternoon D. There is a medical institute in state 4 E. There is a management institute in state 442. Which one of the following must be a day on which Professor lectures? 46. If one of the states contains exactly two medical A. Monday B. Wednesday institutes and exactly one technical institute, then C. Friday D. Tuesday which combinational of three states might contain E. Saturday no medical institute? A. 1, 4, 5 B. 2, 3, 5Question No 43 to 46: Six square states having equal C. 2, 4, 6 D. 1, 3, 5area in a country are located in North-South directions E. 4, 5, 6in two columns next to each other. States are located inthe given order, State 1, State 3, and State 5 are on thewestern side and State 2, State 4, and State 6 are on theeastern side. Within the six states, there are exactly fourXAT – 2008 9
  10. 10. Question No 47 to 50: During a four-week period each of exactly six words and satisfies the following conditions:one of seven previously unadvertised products - G, H J, The six words are written from left to right on a singleK, L, M and O - will be advertised,. A different pair of line in alphabetical order.these products will be advertised each week. Exactly The sentence can start with any word, and successiveone of the products will be a members of two of these word is formed by applying exactly one of threefour pairs. None of the other products gets repeated in operations to the preceding world: delete one letter; addany pair. a letter; replace a one letter with another.Further , the following constraints must be observed: At the most three of the six words can begin with theJ is not advertised during a given week unless H is same letter.advertised during the immediately preceding week. Except for the first word each word is formed by aThe product that is advertised twice is advertised during different operation used for the preceding word.week 4 but is not advertised during week 3.G is not advertised during a given week unless either J 51. Which one of the following could be a sentenceor O is also advertised that week. in the word game?K is advertised during one of the first two weeks. A. Bzaeak blaeak laeak paeak paea paeanO is one of the products advertised during week 3. B. Doteam goleam golean olean omean omman C. Crobek croeek roeek soeek sxoeek xoeek47. Which one of the following could be the schedule D. Feted freted reted seted seteg aseteg of the advertisements? E. Forod forol forols forpls orpls morpls A. Week 1: G, J; week 2 : K, L; week 3: O, M; week 4: H, L 52. The last letter of the English alphabet that the B. Week 1: H, K; week 2: J, G; week 3: O, L; first word of a sentence in the word game can week 4: M, K begin with is C. Week 1: H, K; week 2: J, M; week 3: O, L; A. t B. w week 4: G, M C. x D. y D. Week 1: H, L; week 2: J, M; week 3: O, G; E. z week 4: K, L E. Week 1: K, M; week 2: H, J; week 3: O, G; 53. If the first word in a sentence is “illicit” and the week 4: L, M fourth word is “licit”, then the third word can be48. If L is the product that is advertised during two of A. Implicit B. Explicit the weeks, which one of the following is a product C. Enlist D. Inlist that MUST be advertised during one of the weeks E. Elicit in which L is advertised? A. G B. H 54. If “clean” is the first word in a sentence and “learn” C. M D. K is another word in the sentence, then which one E. J of the following is a complete and accurate list of the positions “learn” could occupy?49. Which one of the following is a product that could A. Third be advertised in any of the four weeks? B. Second, third, fourth A. H B. L C. Third, fourth, fifth, sixth C. K D. L D. Third, fourth E. O E. Third, fourth, fifth50. Which one of the following is a pair of products 55. If the first word in a sentence consists of five that could be advertisement during the same letters, then the maximum number of letters that week? the fifth word in the sentence could contain is A. M and O B. G and H A. Four B. Five C. H and J D. H and O C. Six D. Seven E. K and O E. EightQuestions No 51 to 55: In a game, “words” (meaningful Question No 56 to 59: There are exactly ten stores andor meaningless) consist of any combination of at least no other building on a straight street in Bistupur Market.five letters of the English alphabets. A “sentence” consists On the northern side of the street, from West to East,10 XAT – 2008
  11. 11. are stores 1, 3, 5, 7 and 9; on the southern side of the Go through the situation and the accompanyingstreet, also from West to east, are stores 2, 4, 6, 8 and table, and pick up the best alternatively to answer10. The stores on the northern side are located directly Question nos. 60 to 62across the street from those on the southern side, facing Question No 60-61: There are five sets of digits - Seteach other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; A, Set B, Set C, Set D, and Set E as shown in given7 and 8; 9 and 10. Each store is decorated with lights in diagram. Set A contains one digit, Set B contains two digits, Set C contains three digits, set D contains twoexactly one of the following colours: green, red, and digits, and Set E contains one digit.yellow. The stores have been decorated with lights Rearrange the digits, across the sets, such that theaccording to the following conditions: number formed out of digits of Set C is multiple of theNo store is decorated with lights of the same colour as numbers formed from digits in sets on either side. Forthose of any store adjacent to it. example; in the given diagram, SET C is a multiple ofNo store is decorated with lights of the same colour as digits in SET A and SET B but not of SET D and SET Ethose of the store directly cross the street from it.Yellow lights decorate exactly one store on each side of SET A SET B SET C SET D SET Ethe street. 7 28 196 34 5Red lights decorate store 4.Yellow lights decorate store 5. 60. What is the minimum number of rearrangements56. Which one of the following could be an accurate required to arrive at the solution? A rearrangement list of the colours of the lights that decorate stores is defined as an exchange of positions between 2, 4, 6, 8 and 10, respectively? digits across two sets. For example: when 1 from A. green, red, green, red, green set C is exchanged with 5 of set E, it is counted B. green, red, green, yellow, red as one rearrangement. C. green, red, yellow, red, green A. 2 B. 5 D. yellow, green, red, green, red C. 8 D. 3 E. yellow, red, green, red, yellow E. 757. If green lights decorate store 7, then each of the 61. Which of the following pair of digits would occupy following statements could be false set A and E? EXCEPT: A. 2 and 4 B. 2 and 6 A. Green lights decorate store 2 B. Green lights decorate store 10 C. 3 and 6 D. 3 and 9 C. Red lights decorate store 8 E. 4 and 8 D. Yellow lights decorate store 2 Question No. 62: Magic Box E. Red lights decorate store 9 5 15 1 1658. Which one of the following statements MUST be 10 4 8 9 true? 11 6 12 2 A. Red lights decorate store 1 4 3 13 7 B. Green lights decorate store 10 Cut the square given above into four pieces along the C. Red lights decorate store 8 lines and rearrange in such a manner that sum of all D. Yellow lights decorate store 8 rows, columns and diagonals is equal to 34. One of the E. Yellow lights decorate store 10 pieces, comprising 1 and 8, is shown in the diagram given below59. Suppose that yellow lights decorate exactly two stores on the south side of the street and exactly 1 one store on the north side. If all other conditions 8 remain the same, then which one of the following statements Must be true? A. Green lights decorate store1 How many numbers would be there in the largest B. Red lights decorate store 7 piece? C. Red lights decorate store 10 A. 5 B. 6 D. Yellow lights decorate store 2 C. 9 D. 10 E. Yellow light decorate store 8 E. 8XAT – 2008 11
  12. 12. Read the following situation and choose the best B. Reduce the number of female employees, aspossible alternative. it is a business requirement. She should not let anything affect her business.Question No. 63: The surnames of four professionals C. Let the status quo continue.are: Bannerji, Chatterji, Mukherji and Pestonji. Their D. Henceforth hire only male employees.professions are accountant, lawyer, dentist and doctor E. She should close the business.(not necessarily in this order). The accountant and lawyerwork in their offices, while the dentist and doctor work in 65. You, a recruitment manager, are interviewingtheir nursing homes. The accountant looks after Mayank, a hard- working young man, who hasMukherji’s and Chatterji’s account. Chatterji, dose not problems in speaking fluent English. He hasknow Bannerji, although his nursing home is in the same studied in vernacular medium schools andstreet as Bannerji’s office. Chatterji is not a doctor. colleges. Amongst the following options, whatWhat are the occupations of the four people. would you choose to do, if your company has vacancies? A. Bannerji- Doctor, Chatterji- Dentist,Mukherji- A. I would hire him at all costs. accountant and Pestonji- Lawyer. B. I would hire him for the job he is good at, and B. Bannerji- Lawyer, Chatterji- Dentist, Mukherji- provide training in other areas. accountant and Pestonji- Doctor. C. I would hire him for production or finance job C. Bannerji- Lawyer, Chatterji- Dentist, Mukherji- but not for marketing job, which requires good Doctor and Pestonji- Accountant. communication skills. D. Bannerji- Doctor, Chatterji- Accountant, D. I would ask him to improve his communication Mukherji- Dentist and Pestonji- Lawyer. skills and come back again. E. Bannerji- Dentist, Chatterji- Lawyer, Mukherji- E. I would not hire him as he might be a burden Doctor and Pestonji- Accountant. on organisation because of his poor communication skills.Questions 64 - 67: Read the following situations andchoose the best possible alternative. 66. The city of Nagar has a population of 10 million, 2 millions amongst whom are rich, 3 million poor64. Seema was a finance manager in an MNC and and 5 million belong to the middle class. felt that gender discrimination at the workplace Saundarya Cosmetics manufactured and sold hampered her career growth. Frustrated, she quit beauty product to the rich class at a premium the job and started a company. While starting her price. Its products were very popular with company, Seema decided that she would have customers. Many people from the middle and poor equal proportion of males and females. Over the segments of the population aspired to buy these next six years, Seema emerged as a very products but could not afford because of the high successful entrepreneur and expanded her prices. Of late, sales growth has been stagnating business to eight locations in the country. in the rich segment. Which of the following is the However, Seema recently started facing an ethical best option for Saundarya Cosmetics to maximize dilemma because she realized that female long-term profits? employees were not willing to travel across cities A. Sell the same products at lower prices to middle and work late hours, as the work required them to and poor classes. do. Male employees did not hesitate undertaking B. Sell similar products, of different quality such work. Seema started to feel the pressure of standards with different brand names, to middle reducing the proportion of female employees. On classes and poor classes. the other hand, she is aware that equal C. Sell its products under different brand names representation was one of the strongest reasons to middle and poor classes. for her to have founded the company. What should D. Continue to target rich only and hope that she do as a conscientious female entrepreneur? today’s middle class would be tomorrow’s rich class. A. See if unwilling female employees could be E. Target middle class as it is the largest segment given assignments which do not require travel and forget about the rich. and involve less overtime.12 XAT – 2008
  13. 13. 67. A database software manufacturing company A. Apologize and fix up the bug for all customers found out that a product it has launched recently even if it has to incur losses. had a few bugs. The product has already been B. Do not tell customers about bugs and remove bought by more than a million customers. The only when customers face problems, even if it means losses for the customers. company realized that bugs could cost its C. Keep silent and do nothing. customers significantly. However, if it informs the D. Keep silent but introduce and improved product customers about the bug, it feared losing that is bug-free at the earliest. credibility. What would be the most ethical option E. Take the product off the mark and apologize to for the company? customers.Go through the table that follows and pick up the best alternative to answer question no. 68 to 70. Name of the Average of batmen Number of Number of times Number of times batsman based on past times dismissed scores more than performance dismissed around average a century below 20 RD 40 20 70 3 ST 44 20 60 10 SG 41 25 50 10 VS 31 50 20 15 RU 28 55 25 12 YS 35 40 40 10 VV 35 35 50 5 MK 30 30 45 5 MT 36 45 30 10 MD 45 30 50 10Teams A, B, C and D are participating in a cricket tournament. Team A has to pick up five batsmen out of the tenavailable. All batsmen have played 100 matches each in the past. Past data indicates that C beats A 8 out of 10times. B beats A 5 out of 10 times and D beats A 1 out of 10 times. The conditions for series are likely to be normaland bowling strength of all teams is same. Manager of Team A, based on his past experience, feels that team shouldtake high risk against stronger opponents and low risk against weaker opponents for maximizing chances of winingthe game.The average scores of the top 5 batmen for each team playing in the tournament are: C (270); B (215); D(180) and A (215).68. Team A would play the third match with B. Based on the statistics above, whom should the manager choose so that A has maximum chances of winning? A. RD, RU, MU,VS,YS B. RD, VS, MT, RU, YS C. RD, VV,SG,VS, MD D. ST, RD,MK, MD, SG E. SG, RU, YS, MK,VV69. Team A is playing its first match with team C. Based on the statistics above, whom should the manger choose so that the team has maximum chances of winning? A. RD, ST, SG, MD,YS B. VS, YS, RU,MD, MT C. RD, ST, SG, VS,MD D. YS, RU, VS, MK, MD E. ST, VS, RU, MD, SG70. Team A would play the second match with D. Based on the statistics above, whom should the manger choose so that A has maximum chances of winning? A. RD, ST, MD,VS,YS B. ST, RD, VV, SG, MD C. RD, ST, SG, VS,MD D. SG, RU, YS, MK, MD E. ST, RD, MK,MD,SGXAT – 2008 13
  14. 14. Read the following caselet and choose the best 71. The most important causal factor for this entirealternative (Question 71 - 76): episode could be: A. Trying to follow a divide-and-rule policy in hisMr. Rajiv Singhal, Chairman of the Board of Directors of dealings with the supervisors.Loha India Ltd., (a steel manufacturing company) had B. Inconsistent dealings of Mr. Thakur withjust been visited by several other directors of the supervisors.company. The directors were upset with recent actions C. Paternalistic approach towards matureof the company president, Mr. Ganesh Thakur. They individuals in the organisation.demanded that the board consider firing the president. D. Legalistic approach to employee problems. E. Inadequate standards for measurement ofMr. Thakur, recently appointed as president, had supervisors’ on-job performance.undertaken to solve some of the management-employees problems by dealing directly with the 72. The situation with Mr.Lal could have been avoidedindividuals, as often as possible. The company did not if Mr. Thakur hadhave a history of strikes or any other form of collective 1. Delegated the task of negotiation of wageaction and was considered to have good work culture. contracts for night shift employees to PersonnelHowever, Mr. Thakur felt that by dealing directly with department.individuals, he could portray the management’s concern 2. Created a process for supervisors working thefor the employees. An important initiative of Mr. Thakur night shift so that they could have andwas to negotiate wages of the supervisors with each opportunity to interact with him.supervisor. In these negotiation meetings, he would not 3. Created an open door policy that would haveinvolve anyone else, including the Personnel Department allowed employees to see him without anywhich reported to him, so as to take an unbiased decision. appointment.After negotiation, a wage contract would be drawn up 4. Postponed the decision of wage revision forfor each supervisor. This, he felt, would recognize and supervisors in the night shift for two months,reward the better performers. Mr. Thakur successfully since supervisors were rotated on differentimplemented the process for most of the supervisors, shifts after every two months.except those working in night shift with that of supervisors The option that best arranges the aboveof the day shift. managerial interventions in decreasing order of organisational impact is:For several days Ram Lal, a night shift supervisor, had A. 4, 2, 3, 1 B. 4, 3, 2, 1been trying to seek and appointment with C. 4, 3, 1, 2 D. 4, 1, 2, 3Mr. Thakur about his wages. He was disgruntled, not E. 2, 3, 1, 4only over his failure to see the president, but also overthe lack of discussions about his wage contract prior to 73. The most likely premise behind Mr. Thakur’sits being effected. As a family man with six dependents, initiative regarding individualised meetings withhe felt his weekly wage should be higher than that granted the supervisors seems to beto him. A. Employee related policies should allow scope for bargaining by employees.Last Thursday afternoon Ram Lal stopped by the B. Involvement of company’s president in wagepresident’s office and tried to see him. Mr.Thakur’s problems of employees will lead to a bettersecretary refused his request on the grounds that Mr. goodwill towards the management among theThakur was busy. Infuriated, Ram Lal stormed into the workers.president’s office and confronted the startled Mr. Thakur, C. Individual agreements with supervisors wouldwith stood up and told Ram Lal to get out of his office allow the management to prevent any possibleand express his grievance through official channel. Ram collective action by the supervisors.Lal took a swing at the president, who in turn punched D. Management will be able to force supervisorsRam Lal on the jaw and knocked him unconscious. to accept lesser wages individually in this way. E. He would be able to know who the trouble makers in the plant are by interacting with the supervisors.14 XAT – 2008
  15. 15. 74. Out of the following, which one seems to be the 2. Finance department - for not taken into most likely cause of Ram Lal’s grievance? confidence regarding the financial A. His disappointment with the management’s consequences of the wage contracts. philosophy of having one to one interaction as 3. Marketing department - for not being consulted the supervisors were in a way being forced to on the likely impact of the wage contracts on accept the wage contracts. the image of the company. B. His being in the night shift had worked to his 4. Quality control - for not being able to give inputs disadvantage as he could not interact with the to Mr. Thakur on how to improve quality of steel management regarding his problem. making process. C. He was not allowed to meet chairman of the 5. Personnel department - for it was their work to board of directors of the company. oversee wage policies for employees and they D. Employment in the night shift forced him to stay had been ignored by Mr. Thakur. away from his family during the day time and A. 1 + 2 + 3 B. 1 + 4 + 5 therefore he could not interact with his family C. 1 + 2 + 5 D. 1 + 3 + 4 members much. E. 3 + 4 + 5 E. All of these. 76. Which of the following managerial attributes does75. Apart from the supervisors working the night shift, Mr. Thakur seem to lack the most? executives of which department will have most A. Emotional instability under pressure. justified reasons to be disgruntled with Mr. B. Proactive problem solving. Thakur’s initiative? C. Ethical behaviour. 1. Production department - for not being consulted D. Emotional stability under pressure. regarding the behaviour of the supervisors on E. Independent decision making. the shop floor.SECTION C: DATA INTERPRETATION AND QUANTITATIVE ABILITYNote: All units of measurement are in centimetres, A. Returns of stock X are directly proportional tounless otherwise specified. mutual fund Y.77. Four digits of the number 29138576 are omitted B. Average returns from stock X and mutual fund so that the result is as large as possible. Y are the same. The largest omitted digit is C. Stock X is less volatile than mutual fund Y. A. 9 B. 8 D. Stock X is more volatile than mutual fund Y. C. 7 D. 6 E. Stock X is inversely proportional to mutual fund E. 5 Y.78. Interpret relationship between the returns of Stock Question 79 - 80: In second year, students at a business X and Mutual Fund Y based on the following graph, school can opt for Systems, Operations, or HR electives where percentage return of Stock X and Mutual only. The number of girls opting for Operations and the Fund Y are given for sixteen days of a month. number of boys opting for Systems electives is 37. 1.2 Twenty-two students opt for operations electives. Twenty 1 girls opt for Systems and Operations electives. Percentage Return The number of students opting for Systems electives 0.8 and the number of boys opting for Operations electives 0.6 is 37. Twenty-five students opt for HR electives. 0.4 79. The number of students in the second year is ___? 0.2 A. 73 B. 74 0 C. 76 D. 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 E. 54 Day of the Month Stock X Mutual Fund YXAT – 2008 15
  16. 16. 80. If 20% of the girls opt for HR electives, then the A. Using the given statement, only conclusion I total number of boys in the second year is ___? can be derived. A. 50 B. 52 B. Using the given statement, only conclusion C. 51 D. 53 II can be derived. C. Using the given statement, only conclusion E. 54 III can be derived.81. ABCD is a rectangle with AD = 10. P is a point on D. Using the given statement, all conclusions BC such that ∠ APD = 90°. If DP = 8 then the I, II and III can be derived. length of BP is ___? E. Using the given statement, none of the three conclusions I, II and III can be derived. A. 6.4 B. 5.2 C. 4.8 D. 3.6 b 86. An operation “#” is defined by a # b = 1– E. None of the above Conclusion I. (2 # 1) # (4 # 3) = –1 a82. Rajiv is a student in a business school. After every Conclusion II. (3 # 1) # (4 # 2) = –2 Conclusion III. (2 # 3) # (1 # 3) = 0 test he calculates his cumulative average. QT and OB were his last two tests.83 marks in QT 87. A, B, C and D are whole numbers such that increased his average by 2. 75 marks in OB further A + B +C = 118 B + C + D = 156 increased his average by 1. Reasoning is the next C + D + A = 166 D + A + B = 178 test, if he gets 51 in Reasoning, his average will Conclusion I. be ___? A is the smallest number and A = 21. A. 59 B. 60 Conclusion II. C. 61 D. 62 D is the smallest number and D = 88. Conclusion III. E. 63 B is the smallest number and B = 56.83. ABCD is a quadrilateral. The diagonals of ABCD 88. Let X = {a, b, c} and Y = {1, m}. intersect at the point P. The area of the triangles Consider the following four subsets of X × Y. APD and BPC are 27 and 12, respectively. If the F1 = {(a, 1), (a, m), (b, 1), (c, m)} areas of the triangles APB and CPD are equal F2 = {(a, 1), (b, 1), (c, 1)} then the area of triangle APB is F3 = {(a, 1), (b, m), (c, m)} A. 12 B. 15 F4 = {(a, 1), (b, m)} C. 16 D. 21 Which one, amongst the choices given below, is a representation of functions from X to Y? E. 18 A. F2 and F3 B. F1, F2 and F384. If F (x, n) be the number of ways of distributing C. F2, F3 and F4 D. F3 and F4 “x” toys to “n” children so that each child receives E. None of the above at the most 2 toys, then F(4, 3) = ___? 89. In the figure, number in any cell is obtained by A. 2 B. 6 adding two numbers in the cells directly below it. C. 3 D. 4 For example, 9 in the second row is obtained by E. 5 adding the two number 4 and 5 directly below it. The value of X - Y is85. In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides 68 and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen Y + 29 are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6 : 7, then the runs scored by Ram is A. 88 B. 96 9 C. 102 D. 112 E. None of the above. Y 4 5 2 XFor question 86 and 87, a statement is followed by A. 2 B. 4three conclusions. Select the answer from the C. 3 D. 5following options. E. 616 XAT – 2008
  17. 17. 90. For each p > 1, a sequence {An} is defined by 97. If [x] denotes the greatest integer < = x, then A0 = 1 and An = pn + (–1)n An – 1 for each n ≥1. For  1  1 1   1 2   1 98  how many integer values of p, 1000 is a term of  3  +  3 + 99  +  3 + 99  + ...  3 + 99  =         the sequence? A. 98 B. 33 A. 8 B. 7 C. 67 D. 66 C. 5 D. 4 E. 34 E. None of the above. 98. ABCD is a square. P is the midpoint of AB.91. If o < p< 1 then roots of the equation The line passing through A and Perpendicular to (1 – p) x2 + 4x + p = 0 are ___? DP intersects the diagonal at Q and BC at R. A. Both 0 If AB = 2 then PR = ___? B. Real and both negative 1 A. B. 2 C. Imaginary 2 D. Real and both positive 3 C. 1 D. E. Real and of opposite sign. 2 E. None of the above.92. If x > 0, the minimum value of 99. Two circles of radius 1 cm. touch at point P. A 6 third circle is drawn through the points A, B, and  1  6 1  x + x  – x + 6 –2 C such that PA is the diameter of the first circle,    x  and BC - perpendicular to AP - is the diameter of is ___? 3  1  3 1  the second circle. The radius of the third circle is x + x  + x + 3  ___ cms.    x  9 7 A. 1 B. 2 A. B. C. 3 D. 6 5 4 E. None of the above. 5 10 C. D.93. The number of possible real solution(s) of y in 3 2 equation y2 – 2y cos x + 1 = 0 is____? E. 2 A. 0 B. 1 100. Consider a sequence –6, –12, 18, 24, –30, –36, C. 2 D. 3 42,...... If sum of the first n terms of the sequence E. None of the above. is 132, then the value of n is ___?94. In a triangle ABC, AB = 3, BC = 4 and CA = 5. A. 11 B. 22 Point D is the midpoint of AB, point E is on the C. 13 D. 18 segment AC and point F is on the segment BC. E. 24 If AE = 1.5 and BF = 0.5 then ∠ DEF = Question No. 101 - 102 are followed by two A. 30° B. 60° statements labelled as I and II. You have to decide if C. 45° D. 75° these statements are sufficient to conclusively E. Cannot be determined answer the question. Choose the appropriate answer  1  from options given below:95. If 3f ( x + 2 ) + 4f   = 4x,x ≠ –2 , then f(4) =  x +2 A .If Statement I alone is sufficient to answer the A. 7 B. 52 / 7 question. C. 8 D. 56 / 7 B. If Statement II alone is sufficient to answer the E. None of the above. question.96. A train left station X at A hour B minutes. It reached C. If Statement I and Statement II together are station Y at B hour C minutes on the same day, sufficient but neither of the two alone is after travelling for C hour A minutes (clock shows sufficient to answer the question. time from 0 hours to 24 hours). Number of possible D. If either Statement I or Statement II alone is value(s) of A is ___. sufficient to answer the question. A. 3 B. 2 E. Both Statement I and Statement II and C. 1 D. 0 E. None of the above. insufficient to answer the question.XAT – 2008 17

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