Cl Mock Cat 3 2008

Mock CAT - 3

Test Booklet Serial Number: 7 7 0 3 6 1

INSTRUCTIONS Before the Test: 1. 2.

3. 4. 5. 6.

DO NOT OPEN THIS BOOKLET UNTIL THE SIGNAL TO START IS GIVEN. Keep only the Admit Card, pencil, eraser and sharpener with you. DO NOT KEEP with you books, rulers, slide rules, drawing instruments, calculators (including watch calculators), pagers, cellular phones, stop watches or any other device or loose paper. These should be left at a place as indicated by the invigilator. Use only an HB pencil to fill in the Answer Sheet. Enter in your Answer Sheet: (a) in Box 10 the Test Form Number, which appears at the bottom of this page, (b) in Box 11 the Test Booklet Serial number, which appears at the top of this page. Ensure that your personal data have been entered correctly on Side 1 of the Answer Sheet. Check whether you have entered your 7-digit Enrollment ID in Box 2 of the Answer sheet correctly.

At the Start of the Test: 1. As soon as the signal to start is given, open the Booklet. 2. This Test booklet contains 20 pages, including the blank ones. Immediately after opening the Test Booklet, verify that all the pages are printed properly and are in order. Also that the Test form Number indicated on the cover page and at the bottom of the inner pages is the same. If there is a problem with your Test Booklet, immediately inform the invigilator/supervisor. You will be provided with a replacement. How to answer: 1. This test has three sections which examine various abilities. These 3 sections have 75 questions in all with each section having 25 questions. You will be given two and half hours to complete the test. In distributing the time over the three sections, please bear in mind that you need to demonstrate your competence in all three sections. 2. Directions for answering the questions are given before some of the questions wherever necessary. Read these directions carefully and answer the questions by darkening the appropriate circles on the Answer Sheet. There is only one correct answer to each question. 3. All questions carry 4 marks each. Each wrong answer will attract a penalty of 1 mark. 4. Do your rough work only on the Test Booklet and NOT on the Answer Sheet. 5. Follow the instructions of the invigilator. Candidates found violating the instructions will be disqualified. After the Test: 1. At the end of the test, remain seated. The invigilator will collect the Answer Sheet from your seat. Do not leave the hall until the invigilator announces. “You may leave now.” The invigilator will make the announcement only after collecting the Answer Sheets from all the candidates in the room. 2. You may retain this Test Booklet with you. Candidates giving assistance or seeking/receiving help from any source in answering questions or copying in any manner in the test will have their Answer Sheets cancelled.

MCT-0007/08

Test Form Number:

003

Space for rough work

SECTION – I Number of Questions = 25 DIRECTIONS for Questions 1 to 5: Each of the following questions has a paragraph from which the last sentence has been deleted. From the given options, choose the one that completes the paragraph in the most appropriate way. 1.

Though these worries often seem very different from those of the real world, we are not in fact talking about dangers that weren’t there before. The single most important thing that parents can do is to bring up their children to be sensible and savvy - these are precisely the qualities that they need in order to know right from wrong (and scary situations from safe situations) when they are online. ______________ (1) By nature, children have an innate curiosity about the real world. (2) Almost as important is to keep the lines of communication open. (3) As the internet allows children to communicate on a global scale, parents need to increase considerably their own levels of communication with children, and to show an interest in what they are doing online. (4) A no-blame policy is also a must, so that if they do encounter chatroom imposters and online bullies, or expose you to bankruptcy, at least you have a chance of finding out in time to prevent lasting damage. (5) It is important to gauge the adverse effects of the internet before going online.

2.

For years experts have been asking what will we eat when the crises of climate change and oil depletion converge, with the possible end of our globalized food supply. Our tea and coffee and spices might still come from abroad, but what about salad vegetables, beef and fresh orange juice? _______________ (1) The Western palate is extremely demanding and the realization on the part of the health conscious population of the severity of the situation may lead to a number of problems for the government. (2) But last year’s rate of factory-gate inflation was the highest for more than 16 years, with increases ranging from 7.5% for bread to 15% for milk, cheese and eggs and 60% for rice. (3) Overall food inflation is 6.6%, in a year when oil prices have risen by 70%. (4) Britain currently imports about $ 22bn worth of food and drink a year, 68% from the EU. (5) Cheap oil has let the West regard the whole world as its farmyard, always seeking the cheapest place to produce and process.

3.

But it is important to mention that the European commission is the leading voice in the “chorus” calling for sustainability criteria - by establishing such criteria for biofuels that can be consumed in the EU. The new directive for renewable energy sources will call for the promotion of only sustainable biofuels, i.e. those that save at least 35% CO2 compared to the oil that would be consumed instead. ______________ (1) On the contrary, it is delivering significant greenhouse gas reductions compared to oil. (2) The commission strongly disagrees with the assumption that the overall environmental effect of existing biofuel policy is negative. (3) The directive also stresses on the renewal of unconventional sources of energy, bringing into limelight the wind energy. (4) Today there are only three ways to reduce greenhouse gas emissions from transport: the shift to less polluting and more energy efficient modes of transport (i.e. rail, sea shipping, public transport); the promotion of less consuming cars through CO2 /km targets; and biofuels. (5) At the same time the directive will include robust sustainability standards to prevent damaging land - use change and the destruction of rainforests.

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4.

When it comes to foreign policy, there really are two Americas. The divisions are at their sharpest over Iraq, but they extend much further. Should America put the “war on terrorism” at the heart of its foreign policy or treat it as just one concern among many? Should America bomb Iran or allow Iran to get the bomb ? ________________________________________ (1) Should it allow the Republicans to pick up the cudgels on behalf of the democrats ? (2) These deep divisions are the legacy of a man whose name will not appear on the ballot in November. (3) Should it implicate the hardliners and let go of fence - sitters ? (4) Should it negotiate with its enemies or wait for them to mend their ways ? (5) Should it remain as expected- a dyed-in-the-wool realistic nation or turn into a nation with rightist convictions?

5.

Such nuggets abound. Americans have a wider anti-big-business streak. Britons are cooler on multiculturalism. Britons are more willing than Americans to curb civil liberties in pursuit of security. Americans are less keen not only on the United Nations but also on NATO - and more enthusiastic about the “special relationship” with Britain. If the British could choose their leader from a host of recent Anglo-American greats, they would pick Bill Clinton before Tony Blair. So would Americans, even if they may turn down his wife. ________________________________________ (1) Of the current presidential candidates, British Tories would vote for Barack Obama; Labour supporters prefer Hillary Clinton by a narrow margin. (2) We will have to consciously assess where these differences lead to. (3) Do the differences we found matter? (4) People in both places are worried about the economic future but still bullish on chances for bright kids from poor families. (5) They feel much the same about the death penalty: they are broadly against it.

DIRECTIONS for Questions 6 to 20: The three passages given below are followed by a set of questions. Choose the most appropriate answer to each question.

PASSAGE – 1 Interactionism is the view that mind and body - or mental events and physical events - causally influence each other. That this is so is one of our common-sense beliefs, because it appears to be a feature of everyday experience. The physical world influences my experience through my senses, and I often react behaviourally to those experiences. My thinking, too, influences my speech and my actions. There is, therefore, a massive natural prejudice in favour of interactionism. It has been claimed, however, that it faces serious problems. The simplest objection to interaction is that, in so far as mental properties, states or substances are of radically different kinds from each other, they lack that communality necessary for interaction. It is generally agreed that, in its most naive form, this objection to interactionism rests on a ‘billiard ball’ picture of causation: if all causation is by impact, how can the material and the immaterial impact upon each other? But if causation is either by a more ethereal force or energy or only a matter of constant conjunction, there would appear to be no problem in principle with the idea of interaction of mind and body. Even if there is no objection in principle, there appears to be a conflict between interactionism and some basic principles of physical science. For example, if causal power was flowing in and out of the physical system, energy would not be conserved, and the conservation of energy is a fundamental scientific law. Various responses have been made to this. One suggestion is that it might be possible for mind to influence the distribution of energy, without altering its quantity. Another response is to challenge the relevance of the conservation principle in this context. The conservation principle states that ‘in a causally isolated system the total amount of energy will remain constant’. Whereas ‘the interactionist denies...that the human body is an

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isolated system’, so the principle is irrelevant. Most discussion of interactionism takes place in the context of the assumption that it is incompatible with the world’s being ‘closed under physics’. This is a very natural assumption, but it is not justified if causal overdetermination of behaviour is possible. There could then be a complete physical cause of behaviour, and a mental one. The strongest intuitive objection against overdetermination is clearly stated by Mills, who is himself a defender of overdetermination. For X to be a cause of Y, X must contribute something to Y. The only way a purely mental event could contribute to a purely physical one would be to contribute some feature not already determined by a purely physical event. But if physical closure is true, there is no feature of the purely physical effect that is not contributed by the purely physical cause. Hence interactionism violates physical closure after all. Mills says that this argument is invalid, because a physical event can have features not explained by the event which is its sufficient cause. For example, “the rock’s hitting the window is causally sufficient for the window’s breaking, and the window’s breaking has the feature of being the third window - breaking in the house this year; but the facts about prior window-breakings, rather than the rock’s hitting the window, are what cause this window - breaking to have this feature.” The opponent of overdetermination could perhaps reply that his principle applies, not to every feature of events, but to a subgroup - say, intrinsic features, not merely relational or comparative ones. It is this kind of feature that the mental event would have to cause, but physical closure leaves no room for this. These matters are still controversial. The problem with closure of physics may be radically altered if physical laws are indeterministic, as quantum theory seems to assert. If physical laws are deterministic, then any interference from outside would lead to a breach of those laws. But if they are indeterministic, might not interference produce a result that has a probability greater than zero, and so be consistent with the laws? This way, one might have interaction yet preserve a kind of nomological closure, in the sense that no laws are infringed. Because it involves assessing the significance and consequences of quantum theory, this is a difficult matter for the non-physicist to assess. Some argue that indeterminacy manifests itself only on the subatomic level, being cancelled out by the time one reaches even very tiny macroscopic objects: and human behaviour is a macroscopic phenomenon. Others argue that the structure of the brain is so finely tuned that minute variations could have macroscopic effects, rather in the way that, according to ‘chaos theory’, the flapping of a butterfly’s wings in China might affect the weather in New York. Still others argue that quantum indeterminacy manifests itself directly at a high level, when acts of observation collapse the wave function, suggesting that the mind may play a direct role in affecting the state of the world. 6.

The most naïve form of objection to interactionism “rests on a ‘billiard ball’ picture of causation”. From this statement it can be inferred that (1) all causation may not be the result of impact. (2) there is a genuine doubt regarding the interaction between the material and the immaterial. (3) the objection to interactionism can be nullified by stressing on causation as an energy or a continuous combination. (4) radically different substances lack communality essential for interaction. (5) the material and the immaterial impact each other to produce causation.

7.

“Interactionism is incompatible with the world being ‘closed under physics’..” According to the passage, this is not justified because (1) causal overdetermination of behaviour is not possible. (2) there could be a random cause of behaviour. (3) if multiple causes collaborate to produce a single behaviour or emotion, then interactionism is possible. (4) there is no feature of the purely physical effect that is not contributed by the purely physical cause. (5) there is a conflict between interactionism and basic principle of physical sciences.

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8.

By (1) (2) (3) (4) (5)

referring to ‘Chaos theory’, the author implies that if a butterfly flaps its wings once in one place, it will have enormous impact in some other place. physical laws are deterministic. if there are minute variations in the mind, it may lead to bigger repercussions in the world. if a small event takes place in China it affects the weather in New York. if the structure of the brain is fine-tuned, it may lead to chaos.

9.

The problem which arises because of ‘closure of physics’ is that (1) Physical laws have only a sufficient cause. (2) Indeterminacy manifests itself only on the subatomic level. (3) Non-physicists find it difficult to understand quantum theory. (4) It conflicts with some basic assumptions of interactionism. (5) None of the above.

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It can be inferred that causal overdetermination of behaviour a. is a principle on which Mill refuses to take a stand. b. Can allow interactionism to take place inspite of the world’s being ‘closed under physics’. c. Can be opposed and negated by restricting its application to a subgroup. (1) Only b (2) Only c (3) a and b (4) b and c (5) a, b and c

PASSAGE – 2 There is no need to rehearse the history of the CPUSA during the crucial second quarter of the twentieth century. There exists a sufficiency of serious studies about the topic, including the sociology - more precisely, the sociography - of immigrant and native American Communists. But, again, there is a written passage ignored by the authors of the aforementioned studies that I find especially telling. It is germane to the history of the 1930s, when some American Communists and Communist sympathizers succeeded in advancing themselves to certain governmental and bureaucratic positions in which they were no longer mere members of a revolutionary and largely uninfluential fringe group. The author of this passage is Edmund Wilson, who, like many other American intellectuals, had not been at all intelligent, or even perceptive, about what Communism meant. In 1935, after a journey to Russia in the midst of Stalin’s purges, he wrote that while there he had been “at the moral top of the world.” But in 1953, in his new foreword to the paperback edition of his 1929 novel, I Thought of Daisy, he wrote: Some time in the late thirties, at the time when.... the Soviets were coming to seem respectable and Communism a passport to power in an impending international bureaucracy, I thought of doing a brief sequel to Daisy, in which some Washington official would be giving himself a sense of importance and enjoying a good deal of excitement through an underground connection with the Communists....Their set would go on drinking, playing bridge and making passes at one another’s girls with the conviction that these activities had been given a new dignity by being used to cover up operations which would eventually prove world-shaking and land them somehow at the top of the heap. I consider this passage to be the best, and most perceptive, description of a certain kind of American Communist agent - to wit, the Alger Hiss type. In certain positions, and in certain circumstances, their influences, as Kennan put it, were “never overwhelming” but “also not trivial.” They were able to do harm. Still, marked by their fateful immaturity, most of these people were playing at spying - not unlike most of the “revolutionaries” of the 1960s, who were only playing at being revolutionaries.

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This should also reduce - or at least qualify - the importance of the recent “revelatory” documents from Moscow. In the first place, an agent must make work for himself, to prove that he is doing his job well. This was particularly true of members of the Soviet secret services when they reported that they had succeeded in recruiting X or Y, and when they listed others as “agents” - which, in many cases, was a vast exaggeration. In the same way, many of the victims of the internal Soviet purges in the 1930s were the victims of overzealous secret policemen. In the second place, at least in the 1930s, the materials their American collaborators provided to their Soviet contacts were not always valuable, for example the few pieces that Alger Hiss seems to have typed and given to his Soviet “drop” in 1938. I never doubted that Hiss was one of these sorry birds; but looking at some of these “documents” with the eye of a diplomatic historian, I found them of little or no value whatsoever. But then consider what every experienced historian knows or at least ought to know, which is that documents do not make history, but rather it is history that makes documents: who wrote them and when and why and how ? intended for what and for whom ? However, as I have said, a fair amount of harm was done: perhaps less by the passing of American state or nuclear secrets to the Soviets than by the protracted influence of Communist sympathizers in American publishing, as well as other academic and opinion-forming activities in the 1940s. While on the one hand we have the new revelations of Moscow documents sometimes of questionable value, we also have the special pleading of nostalgic reminiscences about American Communists under siege in the climate around 1950 - as for example in Philip Roth’s recent novel, I Married a Communist, or the protracted attempts at a rehabilitation of the Rosenbergs. I have no sympathy for such views and arguments, for the simple reason that, at the latest by 1945, those American Communists and their sympathizers ought to have known better. By that time there was enough evidence about the brutalities of Stalin and of Communists, not only in Russia but in many other places of the world. Factual accounts of such conditions, acts and events were available in a great variety of books and articles, there for anyone who could read. Yet many thousands of Communists and their sympathizers refused to give them a thought. And here we meet with what seems to be the most essential weakness of the human mind, leading straight to a corruption of character, something that has nothing to do with Intelligence Quotients or with functions of the brain: for it involves, not an inability to think about certain matters, but an unwillingness to do so. In June 1848, less than a year after Marx had written his Communist Manifesto, Alexis de Tocqueville walked across a Paris in the throes of the first “Red” revolution in history. Here and there he talked with the troops of General Cavaignac, gathering before the barricades. The Russian emigre Alexander Herzen hero of many liberals ever since, including Isaiah Berlin wrote that he despised Tocqueville for that. Yet it was the same Tocqueville who soon saw that the new danger for France and freedom was the popularity of anti-Communism, leading to the dictatorship of Louis Napoleon. “The insane fear of socialism”, Tocqueville wrote in 1852, “throws the bourgeois headlong into the arms of despotism..... . But now that the weakness of the Red party has been proved, people will regret the price at which their enemy has been put down.” 11.

The last statement of the passage implies that (1) People will regret the fact that they supported the red party. (2) People will realize that their fears about socialism were justified. (3) The fact that the weakness of the red party has been proved will put people in a regretful mode. (4) People will not regret their anti–communist or socialist attitude. (5) People will regret how easily they dismissed communism or socialism.

12.

The author’s attitude towards American Communists is (1) Immature and indifferent (2) Contemptful and disdainful. (3) Angry and irritated (4) Unsympathetic and Critical (5) Superficial and Derogatory.

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13.

The author would agree with which of the following statements a. There was no harm caused by the influence of Communist sympathizers in American publishing. b. Some of the Soviet secret policemen who conducted Soviet secret purges in the 1930s were overzealous. c. Certain American Communist agents were similar to the revolutionaries of the 1960s as regards their intelligence quotient and brain functions. (1) Only b (2) Only c (3) b and c (4) a, b and c (5) None of the above

14.

The closest meanings of the words ‘germane’ and ‘qualify’ as used in the passage are: (1) irrelevant and highlight (2) irrelevant and moderate. (3) relevant and moderate (4) relevant and aggravate (5) relevant and reinforce.

15.

Which of the following cannot be inferred from the passage? (1) The author praises Edmund Wilson’s thought in his new foreword to the paperback edition of his 1929 novel, ‘I thought of daisy’. (2) The brutalities of communism made the author more unsympathetic towards the American Communists. (3) The author feels that many American communists exhibited unwillingness to think about certain matters. (4) Many communists believed that their operations would land them into positions of importance later on. (5) On the whole it cannot be said that the work of the American Communists was completely frivolous.

PASSAGE – 3 Nobel laureate Erwin Shrödinger’s “What is Life?” is one of the great science classics of the twentieth century. A distinguished physicist’s exploration of the question which lies at the heart of biology, it was written for the layman, but proved one of the spurs to the birth of molecular biology and the subsequent discovery of the structure of DNA. Erwin Shrödinger, iconoclastic physicist, stood at the pivotal point of history when physics was the midwife of the new science of molecular biology. In this book he set down, clearly and concisely, most of the great conceptual issues that confront the scientist who would attempt to unravel the mysteries of life. During subsequent decades, this new field generated a number of discoveries like the unraveling of the genetic code by Francis and Crick in the 1960’s but these advances did not bring biologists any closer to answering the question posed in the title of Schrodinger’s book. How did complex structures evolve out of a random collection of molecules? Sydney Brenner, a distinguished professor, one of the past century’s leading pioneers in genetics and molecular biology also feels the same. Most recently, Brenner has been studying vertebrate gene and genome evolution. Among his many notable discoveries, Brenner established the existence of messenger RNA and demonstrated how the order of amino acids in proteins is determined. His pioneering work with the roundworm Caenorhabditis elegans helped garner insights into aging, nerve cell function and controlled cell death, or apoptosis. His work in vertebrate gene and genome evolution has resulted in new ways of analyzing gene sequences, which has resulted in a new understanding of the evolution of vertebrates.

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He reflectively wrote, “In late 1962, Francis Crick and I began a long series of conversations about the next steps to be taken in our research. Both of us felt very strongly that most of the classical problems of molecular biology had been solved and that the future lay in tackling more complex biological problems. I had come to believe that most of molecular biology had become inevitable and that, as I put it in a draft paper, “we must move on to other problems of biology which are new, mysterious and exciting. Broadly speaking, the fields which we should now enter are development and the nervous system.” The great difficulty about these fields is that the nature of the problem has not yet been clearly defined, and hence the right experimental approach is not known. There is a lot of talk about control mechanisms, and very little more than that. It seems to me that, both in development and in the nervous system, one of the serious problems is our inability to define unitary steps of any given process. Molecular biology succeeded in its analysis of genetic mechanisms partly because geneticists had generated the idea of one gene-one enzyme, and the apparently complicated expressions of genes in terms of eye color, wing length and so on could be reduced to simple units which were capable of being analyzed. Molecular biology succeeded also because there were simple model systems such as phages which exhibited all the essential features of higher organisms so far as replication and expression of the genetic material were concerned, and which simplified the experimental work considerably. And, of course, there were the central ideas about DNA and protein structure. But developmental biology has no such support. How does a wounded organism regenerate? How does the egg form the organism? What is the relationship between genes and development? We have not understood the vital integrative actions of living organisms. We are going to have to teach biologists another language which incorporates the highly integrative systems of life. Not all the answers are available at the molecular level. Science is something one is tied to for life and one should never retire from anything until one has secured one’s next job. The endless quest for knowledge will continue as long as humans exist.” 16.

The author’s primary purpose in this passage is to (1) Explore reasons for the lack of study on integrative actions of living organisms. (2) State the surprising lack of information on molecular biology after many years. (3) Present the situation in the scientific world with relation to molecular biology. (4) Explore the consequences of the publication of the book by Erwin Schrodinger as regards the scientific world. (5) Make a case for further research into genetic structure.

17.

It can be inferred from the passage that (1) Before Schrodinger, the genetic structure of organisms was viewed systematically, not molecularly. (2) The unraveling of the genetic code has not really helped understand developmental biology. (3) The relationship between genes and development can be successfully explored through molecular biology. (4) New theories to understand integrative systems of life would be more complex as compared to the earlier theories. (5) None of the above.

18.

The author is most probably addressing which of the following audiences? (1) Molecular biologists (2) Geneticists (3) Lay people (4) Subscribers to a science journal (5) Government bodies for Funding

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19.

Which of the following best describes the tone of the author ? (1) Speculative (2) Pessimistic (3) Vituperative (4) Sarcastic (5) Factual

20.

The development of the passage is based on (1) Progress made by molecular biology. (2) Relationship between genes and development. (3) Evolution of complex structures. (4) Brenner’s comments in relation to the title question of Schrodinger’s book. (5) A physicist’s contribution to molecular biology.

DIRECTIONS for Questions 21 to 25: Each question has a set of four statements. Each statement can be classified as one of the following: Facts, which deal with pieces of information that one has heard, seen or read, and which are open to discovery or verification (the answer option indicates such a statement with an ‘F’). Inferences, which are conclusions drawn about the unknown, on the basis of the known (the answer option indicates such a statement with an ‘I’). Judgements, which are opinions that imply approval or disapproval of persons, objects, situations and occurrences in the past, the present or the future (the answer option indicates such a statement with a ‘J’) Select the answer option that best describes the set of four statements. 21.

1. The generous package of sops doled out to farmers in this year’s Budget indicates that the Government has the intent of wooing their lobby in the coming elections. 2. According to the latest report by an environmental group, the proposal for setting up an explosives factory so close to an overcrowded township is a surefire recipe for disaster. 3. ‘I think, therefore I am’ is a controversial quote attributed to Rene Descartes. 4. Life is but an empty dream. (1) IJFJ

22.

(3) IIFJ

(4) FIJJ

(5) IFJI

1. An environmental disaster, like the recent Arctic oil spillage, makes us wonder if technology has turned into a Frankenstein for the human race. 2. Sections of the media have expressed their misgivings as to whether the Indo - US nuclear deal, if it goes through, would pave the way for a new era of stability in the region. 3. The Indo - US nuclear deal is a classic example of the unstable effect coalition politics can have upon national policy. 4. There are lies, opinions and there are also statistics. (1) JFFJ

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(2) IFJJ

(2) IFJF

(3) JFIJ

(4) IIFF

(5) IFJJ

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1. In the context of the present spurt in violence, the recent move to revive peace talks in Lebanon appears to have been a piece of inspired foolhardiness. 2. The idea of negative feedback is central to the working of the centrifugal governor designed by James Watt, the inventor of the steam engine. 3. If the government continues to fund its budget deficit through increased borrowing, a sharp spike in short-term interest rates seems inevitable. 4. We are all set to witness the next Golden Age of conspicuous consumption – the prices of English manor houses on sale have trebled over the last year. (1) JFII

24.

(4) FJII

(5) IFJI

(2) IJFF

(3) JJFF

(4) JIIF

(5) JIFF

1. The term ‘arms race’ has been used by scientists to explain how species have continuously evolved offensive or defensive mechanisms in response to the threat to their survival from natural predators or preys. 2. Traditionally, half the people in this village in any generation have suffered from a curious form of genetic rheumatism. 3. Tomorrow, and tomorrow and tomorrow creeps in this petty pace from day to day. 4. “Whenever the mind is not fully absorbed, consciousness is no longer focused and ordered.” says Charumitra. (1) FFJJ

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(3) JFIJ

1. The liberalization of the Indian economy in the 1990s was hastened by an imminent balance of payment crisis. 2. Beauty lies in the eye of the beholder when even a painted water sprinkler counts as an artistic masterpiece these days. 3. According to the Indian Penal Code, wrongful gain is gain by unlawful means of property, to which the person gaining is not legally entitled. 4. Since the project has commenced, minor differences in opinion about its utility have snowballed into a full-fledged fight over its ultimate purpose. (1) FJFI

25.

(2) IFIJ

(2) FFJF

(3) IFJI

(4) FJJI

(5) IFJJ

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SECTION – II Number of Questions = 25 DIRECTIONS for Questions 26 and 27: Answer the questions on the basis of the information given below. ABCD is a square which is divided into 17 smaller squares as shown in the figure given below. The length of the side of each of the squares is an integer and length of the side of the square marked as ‘x’ is 3 units.

A

B

x

z y D 26.

27.

The length of the side of the square ABCD is (1) 18 units (2) 22 units (3) 16 units

C (4) 20 units

The sum of the areas of squares marked as ‘y’ and ‘z’ is (1) 80 square units (2) 106 square units (4) 89 square units (5) Cannot be determined

(5) Cannot be determined

(3) 97 square units

28.

Let P be a natural number that leaves a remainder 3, when divided by 7 and let Q be another natural number that leaves a remainder 1, when divided by 5. How many ordered pairs (P, Q) exist such that the difference between P and Q is greater than 177 and the sum of P and Q is less than 203? (1) 12 (2) 14 (3) 16 (4) 10 (5) 20

29.

How many four-digit numbers can be formed using the digits 1, 2, 4, 6, 7 and 9 such that each number is divisible by 3 but not by 9? (Repetition of digits is not allowed) (1) 84 (2) 48 (3) 72 (4) 96 (5) 120

30.

Nangru is standing on a point X such that the point X lies on the first quadrant of a Cartesian Co-ordinate system. After travelling to five different points in the first quadrant, he came back to the point X. The ‘x’ and ‘y’ co-ordinates of each point to which he traveled is a prime number. What is the minimum possible area of the region enclosed by Nangru? Assume that during the course of his travel he neither retraced nor crossed the path through which he has already traveled once. Also, the distance between the two consecutive points which he had traveled is an integer. (1) 3 square units (2) 4.5 square units (3) 2 square units (4) 5.5 square units (5) 4 square units

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DIRECTIONS for Questions 31 to 34: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements. 31.

In the figure given below PQR is a triangle and S is a point on QR. What is the measure of ∠ QPR ? P

Q

S

R

A: PS = QS = SR. B:

PQ PR = ; PS is the median; ∠ QRP = 40°. QS SR

32.

In a survey conducted on the usage of mobile phones namely Nokia, Samsung and Motorola, it was found that 50 people use Motorola and 34 people use both Nokia and Motorola. How many people are there who use both Nokia and Samsung but do not use Motorola? A: The number of people who use both Nokia and Samsung but do not use Motorola is twice the number of people using both Samsung and Motorola. The number of people using all the three mentioned mobile phones is 10 less than the number of people who use only Motorola. B: Out of the number of people surveyed, the number of people using all the three mentioned mobile phones is 3.

33.

What is the integral solution of the equation

1 2 1 + = ? x y 24

A: y > 54. B: y < 72. 34.

If p, q and r are positive integers, then is (p2 + q2r) an odd number? A: p – 4r = 1 – 2q. B: 3q + 2r = p2 – 9.

35.

Find the digit sum of the number (ab3cdefghi1)43, where a, b…. h and i are nine distinct single digit natural numbers. (Digit sum of 926 = 9 + 2 + 6 = 17 = 1 + 7 = 8). (1) 8 (2) 2 (3) 4 (4) 7 (5) 5

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11

36.

Four circles having radius 1 cm, 2 cm, 3 cm and 4 cm intersect each other to create maximum possible number of bounded regions. What is the minimum possible number of different colours required to fill in the bounded regions so that no two adjacent regions are filled with the same colour? (1) 5 (2) 4 (3) 3 (4) 6 (5) 7

DIRECTIONS for Questions 37 and 38: Answer the questions on the basis of the information given below. There is a N × N square matrix having N2 cells of dimension 1 × 1. Every cell in the matrix is given an address (i, j), where (i, j = n, n + 1, ……) and n is an integer. It is given that one of the box is marked as (0, 0). Every other cell is given an address (i, j) as per the Cartesian coordinate system. All addresses are given with reference to the central most cell (0, 0). For example, the cell to the immediate right of (0, 0) along the same row is given an address (1, 0). Similarly, the cell above (0, 0) along the same column is given an address (0, 1). 37.

If the addresses of the cells sharing a common point or a common boundary with the cell having the address (i, j) are (i1, j1)....(im, jm) , then what is the value of |(i – i1)| + ……. |(i – im)|? (1) 2 (2) 3 (3) 6 (4) Either 2 or 3 (5) Either 2 or 3 or 6

38.

If the total number of cells in the matrix is less than 100 and N is an odd number, then what is the maximum possible number of cells in the matrix for which (i + j) is a perfect square? (1) 9 (2) 13 (3) 11 (4) 16 (5) 21

39.

A bank decides to lend Rs.10 cr through three types of loans namely Personal loan, Home loan and Commercial loan. The interest rates per annum as well as the bad debt as a percentage of the money lent in each type of mentioned loan is shown in the table given below. Bad debt is a debt that does not give any return and can not be recovered.

Personal Home Commercial

Interest Rate Bad Debt 15% 5% 10% 3% 9% 2%

In which of the following ways should the Bank lend Rs. 10 cr such that it maximises its return on the money lent for a period of 1 year? (1) Bank should lend Rs. 5 cr as home loan, Rs. 3 cr as personal loan and the remaining money as commercial loan. (2) Bank should lend Rs. 5 cr as personal loan and Rs. 5 cr as commercial loan. (3) Bank should lend an equal amount through all the three types of loans. (4) Bank should lend Rs. 10 cr as commercial loan. (5) Bank should lend Rs. 10 cr as personal loan. 40.

In order to sell his old books, which were priced at Rs. 63 per book, Ravinder reduced the price per book by a whole number of rupees such that the final price per book is less than the initial price per book. Now, the whole lot of old books was sold for Rs. 4914. What is the minimum possible number of old books in the lot that Ravinder sold? (1) 209 (2) 143 (3) 151 (4) 91 (5) 22

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41.

In a convex quadrilateral PQRS, points T and U are chosen on QR such that ∠QPT = ∠ RSU and ∠ TPU = ∠ UST. If the measure of ∠QPR is 70°, then what is the measure of ∠ QSR ? Q

P

T U R

S

(1) 110°

(2) 80°

(3) 105° 10

42.

2

The value of the summation

100

+

log2 3

10

2

100

(5) 90°

10

2

+…+

log3 3

7

(1)

(4) 70°

100

is

log100 3

8

2 log100! 25 log 9

(2)

8

2 log100! 50 log3

(3)

2 log100! 50 log3 + 25log11

8

8

(4) 2 log100! 43.

44.

003

25

log3

A trapezium ABCD is inscribed in a circle with centre O. AB is parallel to CD and the tangent at the point C intersects the line AB produced at E. If BE = 2 units, CE = 4 units and ∆ BCE is isosceles, then what is the area of the trapezium ABCD? (1) 32 square units

(2) 24 square units

(4) 8 15 square units

(5) 28 square units

(3) 7 15 square units

6 7 of the total number of men in a country A are married to of the total number of women in 7 8 5 6 country A. of the total number of men in country B are married to of the total number of women 6 7 in country B. Let ‘X’ and ‘Y’ be the ratio of the number of married people to the total number of people in countries A and B respectively. Which of the following is true? (Assume that in country A and country B there are only men and women). (1)

45.

(5)

2 log100!

X < 0.5 Y

(2)

X = 0.5 Y

(3) 1.2 <

X < 1.5 Y

(4) 1 <

X < 1.1 Y

(5) None of these

A, B, C and D are four friends each of whom weighs less than 100 kg. From amongst them they form a group and find the total weight of the group. If the sum of the total weights of all possible distinct groups, each having the same number of members as in the first is 882 kg, then the average weight of the four friends is (1) 41.75 kg (2) 63.5 kg (3) 73.5 kg (4) 83.5 kg (5) Cannot be determined

13

46.

AB is an arc of circle that subtends an angle of 90° at the center of the circle O. P is the mid point of the arc AB. Two points Q and R are chosen on the line segments OA and OB respectively such that PQR is an equilateral triangle. Given that the radius of the circle is 1 unit, find the length of side of the triangle PQR. (1)

(4)

47.

2 1+ 3

units

2 2+ 3

2

(2)

units

(5)

3 −1

units

2 1+ 3

(3)

2 2 1+ 3

units

units

The cubic equation x3 – Ax2 + Bx – C = 0 has three positive integral roots two of which are identical. Which of the following statement(s) is necessarily true? (1) If C is an even number then B must be an even number. (2) If B is an even number then A must be an even number. (3) If A is an even number then C must be an even number. (4) If C is an odd number then A must be an even number. (5) None of the above.

DIRECTIONS for Questions 48 and 49: Answer the questions on the basis of the information given below. In the figure shown below, ∆ABC is right angled at A and BE = 10 cm.

A 30 °

E

30°

30°

48.

Find the circumradius of ∆AED. (1) 5 cm

49.

C

D

B

(2) 5 3 cm

(3) 6 3 cm

(4) 6 cm

(3) 10 3 cm 2

(4)

(5) Cannot be determined

Find the area of ∆CDE. (1) 25 cm2

(2) 15 cm2

25 3 cm 2 2

(5) Cannot be determined

50.

On Monday, a factory produced ten units of a product on a machine. To meet additional requirements, the factory had to produce 20 and 30 additional units on Tuesday and Wednesday respectively, in excess of the planned 10 units. The increase in the total cost of production on Tuesday and Wednesday was Rs. 2600 and Rs. 4800 respectively, in comparison with the cost on Monday. When the total costs of production were plotted against the number of units produced for the three days, a quadratic curve is traced. If 20 units are produced on Thursday, then what is the difference between the total costs of production on Thursday and on Monday ? (1) Rs. 1800 (2) Rs. 1000 (3) Rs. 1400 (4) Rs. 2100 (5) Cannot be determined

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SECTION – III Number of Questions = 25 DIRECTIONS for Questions 51 to 55: Answer the questions on the basis of the information given below. The 2006 batch of a premier B- school in India fared poorly in the three courses namely Statistics, Economics and Business Maths in their first semester examinations. The batch was divided into four sections A, B, C and D and every student in the batch wrote the examination on each of the three mentioned courses. The following bar graph provides information about the number of students who failed in each of the courses in the four sections. It also provides information about the total number of students and the number of students who failed in two courses in each of the four sections. No student failed in all the three courses.

160 139

Number of Students

140 115

120

99

A

100

B

80 60 40

56

61 48

60

45 28 19

56 39

23

65 49 26

24

D

43

37

C

21

20 0 Failed in Statistics

51.

52.

53.

Failed in Economics

Failed in Business Maths

Failed in Total Two courses number of students

In section A, how many students failed in only one course? (1) 61 (2) 62 (3) 63 (4) 64

(5) 65

In section C, how many students failed in atleast one course? (1) 102 (2) 96 (3) 95 (4) 107

(5) 89

How many students in the 2006 batch passed in all the three courses? (1) 58 (2) 61 (3) 62 (4) 64

(5) 67

54.

Across all the four sections at least how many students did not fail only in Statistics? (1) 271 (2) 279 (3) 261 (4) 275 (5) 274

55.

Across all the four sections at most how many students passed in both Statistics and Business Maths? (1) 121 (2) 136 (3) 153 (4) 197 (5) 217

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DIRECTIONS for Questions 56 to 59: Answer the questions on the basis of the information given below. Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. Each shirt is either colored blue or green or red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4…9 and 10 from left to right in that order. The mentioned ten persons have to sit on the chairs such that there is only person sitting on one chair. The number of persons wearing a green and a blue shirt are 2 and 3 respectively. Additional Information Given: 1. No two persons wearing blue shirts sit on consecutively numbered chairs. 2. Three persons wearing a red shirt sit together on consecutively numbered chairs. 3. A person wearing a blue shirt and a person wearing a green shirt never sit on consecutively numbered chairs. 4. The persons who wear a green shirt cannot sit either on chair numbered 2 or 9.

Arrangements

The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under “Additional Information Given”.

I II III IV V VI

1 B A N N B A

2 P P Q M Z R

3 Q L Z B Q M

4 K K M Q R Z

Chair Number 5 6 L R Z M K L R P L K K L

7 A Q P L M P

8 Z B B K A N

9 M R R Z P Q

10 N N A A N B

56.

Which of the arrangements done by Mr. Crazy is not consistent with the information stated under “Additional Information Given”? (1) I (2) VI (3) III (4) V (5) IV

57.

Which of the following persons is wearing a blue shirt? (1) R (2) K (3) L (4) Z

(5) N

Which of the following persons is wearing a green shirt? (1) Z (2) A (3) R (4) K

(5) P

58.

59.

Which of the following is not a permissible group of four persons such that the number of persons wearing a red, a green and a blue shirt is 2, 1 and 1 respectively? (1) A, P, L and R (2) N, Q, K and Z (3) K, A, N and Z (4) B, L, M and Q (5) A, L, P and M

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DIRECTIONS for Questions 60 to 63: Answer the questions on the basis of the information given below. 4 friends A, B, C and D went to Daljit Fast food to have some snacks. Since, Daljit Fast food was known for its items namely Samosa, Kachori, Jalebi and Imarti, they decided to try out these items between themselves. Further information is as follows: 1. 2. 3.

4. 5.

Each of the mentioned friends selected two items out of the mentioned four items and each friend had two pieces of each of the items selected by them. No two friends had the same combination of two items. The price for a piece of each item was Rs. 5, Rs. 6, Rs. 4 and Rs. 5.5 not necessarily in any particular order. When asked about their visit to Daljit Fast food, each of the mentioned friends had the following statements to say. Incidentally, out of the 2 statements mentioned by each friend, one statement is false whereas the other statement is true. If a particular friend has mentioned more than one information in any statement, then either both the information stated have to be true or both the information stated have to be false. The following lists down the statements made by each of the four friends. A : 1. One of the items that I had was the costliest of all the mentioned item. 2. D spent a total of Rs. 20 and did not have a Jalebi. B : 1. I spent the maximum possible amount on the items at the Daljit Fast food. 2. A spent a total of Rs. 18 and had the costliest of all the mentioned items. C : 1. D neither had Samosa nor Jalebi 2. The cost of a Kachori is Rs. 6. D : 1. I had Samosa which costs Rs. 5.5 per piece. 2. B spent a total of Rs. 23.

60.

If A spent a total of Rs. 21, then which of the following items A could have had at the Daljit Fast food? (1) Jalebi, Imarti (2) Jalebi, Samosa (3) Samosa, Imarti (4) Kachori, Imarti (5) Kachoti, Samosa

61.

How many friends out of the four mentioned friends had Imarti at the Daljit Fast food? (1) 1 (2) 2 (3) 3 (4) 4 (5) Cannot be determined

62.

If the total amount spent by C is more than D but less than B, then what is the possible list of items that C could have had at the Daljit Fast food? (1) Samosa, Imarti (2) Samosa, Kachori (3) Samosa, Jalebi (4) Either (1) or (3) (5) Either (2) or (3)

63.

What is the maximum possible aggregate amount that could have been spent at the Daljit Fast food by all the mentioned four friends? (1) Rs. 85 (2) Rs. 86 (3) Rs. 87 (4) Rs. 88 (5) Rs. 89

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DIRECTIONS for Questions 64 to 68: Answer the questions on the basis of the information given below. Mr. Daniel Kang worked in Seoul and he had ten subordinates viz. A, B, C, D, E, F, G, H, I and J. Mr. Kang was about to get transferred to India but before getting transferred he had to select one of his subordinates who could assume his rank and responsibilities, after his transfer. In order to identify the most eligible subordinate for this job, he tested all of them through a sequence of nine different group tasks viz. I, II, III, IV, V, VI, VII, VIII and IX. Each of the nine tasks was designed to identify the subordinates who did not possess the essential managerial skill that was being tested in that particular task. At the end of each task, the participant who lacked in that skill the most, was eliminated. The process of elimination employed by Mr. Kang is explained below: I. II. III.

Based on their satisfactory performances, one or more of the subordinates were declared “Pass” by Mr. Kang. “Pass” subordinates were not eliminated before the next task in the sequence. For elimination, all the participants voted against exactly one of those subordinates who did not have a “Pass” at the end of each task. None of the subordinates voted for his own elimination. At the end of each task, the subordinate who received the maximum number of votes for his/her elimination was eliminated from all the subsequent group tasks. Assume that at the end of each task, there is only one of the mentioned persons who received the maximum number of votes for his/her elimination.

The subordinate who survived through all the nine group tasks and eliminations, was appointed at Mr. Kang’s rank. The following table lists all the subordinates who received a “Pass” by Mr. Kang.

Group Task I II III IV V VI VII VIII IX 64.

“Pass” given to A, C, D, I, J C, I B D, F, G J F,D G E G

At least how many votes were cast against A in the group task II? (1) 0 (2) 1 (3) 2 (4) 3

(5) 4

65.

For how many of the nine group task(s), can the list of all the participants be determined, using the given information? (1) 2 (2) 3 (3) 6 (4) 5 (5) 7

66.

At most how many votes could have been cast against C in the nine group tasks? (1) 12 (2) 11 (3) 9 (4) 7 (5) 13

67.

If C was eliminated in group task V, then who was eliminated in group task III? (1) I (2) J (3) B (4) H (5) J

68.

If F was eliminated in group task VII, then who got eliminated in round IV? (1) B (2) C (3) I (4) H (5) Cannot be determined

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DIRECTIONS for Questions 69 to 71: Answer the questions on the basis of the information given below. Columbus Travels Ltd. is a travel services company which plans holidays for its customers. The company keeps analyzing its customers’ preferences of holiday destinations and their frequencies of travel. Some of the customers choose to go abroad for holidays. The following bar-graphs show data related to the first eight months of year 2007.

Customers Who Went Abroad (as a % of All Customers )

45% 40%

40%

40%

35% 30%

25%

25%

20%

20% 15%

10%

10% 5% 0% Jan-Apr Feb-May Mar-Jun

Apr-Jul May-Aug

Period( Months in 2007 )

300 Number of Customers

250 250 200 200 150

170

180

120

100 50 0 Jan-Apr Feb-May Mar-Jun

Apr-Jul May-Aug

Period ( Months in 2007 ) 69.

What percentage of all the customers went abroad from January 2007 to August 2007? (1) 19.73% (2) 17.83% (3) 15.63% (4) 13.43% (5) 21.53%

70.

If the number of customers who went abroad in the month of March is the maximum possible, then how many customers went abroad in the month of July 2007? (1) 18 (2) 2 (3) 37 (4) 5 (5) 0

71.

At most how many customers could have gone abroad in the month of June 2007? (1) 18 (2) 23 (3) 22 (4) 17 (5) 6

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DIRECTIONS for Questions 72 to 75: Answer the questions on the basis of the information given below. Four countries namely USA, Kenya, Russia and Australia participated in a 4 × 400 metres relay. 4 × 400 metres relay is an athletic track event in which each team comprises of four runners. Each runner completes 1 lap of 400 metres. Only one team from each of the mentioned countries participated in the 4 × 400 metres relay. In the 4 × 400 metres relay all the runners start running from the same point on the track. Only after the first runner from any team completes 1 lap of 400 metres, the second runner starts running and this continues till the fourth runner from the team has completed his/her lap. The following bar-graph provides information about the uniform speed at which each of the runners from the respective teams completed their 1 lap. The winner of the 4 × 400 metres relay is the team which completes the total distance in the least time. 16

15 14 13

Uniform speed (in m/s)

14 12 12

11

11 10

10

9

10

9

10

First Runner

9

8

Second Runner 7

8 6

6 6

Third Runner Fourth Runner

4 2 0 USA

72.

Kenya

Russia

Which country won the 4 × 400 metres relay? (1) USA (2) Australia (3) Russia

Australia

(4) Kenya

(5) Cannot be determined

73.

What is the shortest distance between the point at which the runners start running and the point at which the second runner from USA and Kenya meet? (1) 100 metres (2) 50 metres (3) 244.44 metres (4) 155.55 metres (5) Second runner from USA and Kenya will never meet

74.

Which of the following statements is/are true? (1) A runner from Australia is never behind the corresponding numbered runner from USA. (2) Third runner from Russia and Kenya never meet during the course of the 4 × 400 metres relay. (3) Second runner from Kenya and Russia definitely meet once during the course of the 4 × 400 metres relay. (4) A runner from Kenya is always behind the corresponding numbered runner from Russia. (5) None of the above.

75.

A country is said to have achieved an “Intermediate Victory” if their runner completes their respective laps faster than the corresponding numbered runners from the other mentioned countries. Which of the mentioned countries achieved maximum number of “Intermediate Victories”? (1) USA (2) Kenya (3) Both USA and Russia (4) Russia (5) All the four countries have an equal number of Intermediate Victories.

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