CAT 2008- Sample Paper

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1. Find the number of solutions for x if 50 < x < 120 such that 15

x7

10

x

5

x

6

x

, where [y] indicates the greatest integer less than or equal to y.

1)0 2)1 3)2 4)3 5) 8

2. The number of ordered pairs of positive integers (m, n) such that 15

1

n

1

m

1

is:

1)10 2)2 3)4 4)9 5)11

3. Let ‘f’ be a function such that for real x & y, f(x) X f(y) = f(x + y) & )y(f

)x(f

= f(x – y) for all f(y) > 0. Given that f(0) = 1 and f(1) = 3, then f(x – 1) + f(– x – 1)

1. cannot be negative. 2. has minimum value 2/3. 3. lies between 0 and 2/3. 4. None of these. 5. Cannot be determined

4. Let 2001

1001......

5

3

3

2

1

1a

2222

and 2003

1001....

7

3

5

2

3

1b

2222

. The integer closest to a –

b is

1) 500 2)501 3)1000 4)1001 5) 1110

5. Which of the following statements is false?

1. The product of three consecutive even numbers must be divisible by 48.2. x% of y% of z is same as z% of x% of y.3. The factorial of any natural number greater than 1 cannot be a perfect square.4. The numbers (100)2, (100)3, (100)4, (100)5...and so on, when converted to decimal

system are all in an arithmetic progression. 5. None of these

6. Find the length of the string wound on a cylinder of height 48 cm and a base diameter of 5 11

1

cm. The string makes exactly four complete turns round the cylinder while its two ends touch the cylinder's top and bottom.

1. 192 cm 2. 80 cm 3. 64 cm 4. Cannot be determined 5. 88 cm

7. In Coorg, the production of tea is three times the production of coffee. If a percent more tea and b percent more coffee were produced, the aggregate amount would be 5c percent more. But if b percent more tea and a percent more coffee were produced, the aggregate amount produced would be 3c percent more. What is the ratio a : b ?

1. 1 : 3 2. 1 : 2 3. 2 : 1 4. 3 : 1 5. 4 : 2

8. A girl wished to purchase m roses for n rupees. (m and n are integers). The shopkeeper offered to give the remaining 10 flowers also if she paid him a total of Rs.2. This would have resulted in a saving of 80 paise per dozen for her. How many flowers did she wish to buy initially?

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1. 4 2. 5 3. 6 4. 7 5. 8

9. Samit went to the market with Rs. 200. If he buys three pens and six pencils he uses up all his money. On the other hand if he buys three pencils and six pens he would fall short by 20%. If he wants to buy equal number of pens & pencils, how many pencils can he buy?

1) 4 2) 5 3) 6 4) 7 5) 3

DIRECTIONS for questions 10 and 11:

The graph given below represents a quadratic expression, f(x) = ax2 + bx + c. The minimum value of f(x)

is 2and it occurs at x =2

x1 and x2 are such that x1 + x2 +2x1x2=0.

10. What is the nature of the roots of the equation f(x) = 0?(1) Complex conjugates (2) Rational (3) Irrational# (4) Cannot be determined

11. Find the value of the function at x = 3(1) 2 (2) – 1# (3) 5 (4) none of these

12. How many numbers are there between 100 and 1000, which have exactly one of their digits as 7?

1)300 2)1444 3)225 4)729 5) None of these

13 A group of men was employed to shift 545 crates. Every day after the first, 6 more men than the previous day were put on the job. Also, every day after the first, each man working, shifted 5 fewer crates than the number of crates moved by each man the previous day. The result was that during the latter part of the period, the number of crates shifted per day began to go down. 5 days were required to finish the work.

What was the number of crates shifted on the third day?

1)137 2)169 3)26 4)152 5) None of these

14 A group of men was employed to shift 545 crates. Every day after the first, 6 more men than the previous day were put on the job. Also, every day after the first, each man working, shifted 5 fewer crates than the number of crates moved by each man the previous day. The result was that during the latter part of the period, the number of crates shifted per day began to go down. 5 days were required to finish the work.

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What was the number of men working on the fifth day? 1)13 2)25 3)19 4)75 5) None of these

15 In the figure given, the radius of the smaller circle is 12 cm. Then the area of shaded region will be

1)3– 22 cm2 2)4

3(4 – ) + 22 (4 – 2 ) cm2 3) 34

2

154

4

3cm 2

4) Data insufficient 5)none of these

16. Two sisters go up 40-step escalators. The older sister rides the up escalator, but can only take 10 steps up during the ride since it is quite crowded. The younger sister runs up the empty down escalator, arriving at the top at the same time as her sister. How many steps does the younger sister take?

1)70 2)60 3)80 4) 70 5) None of these

17. In how many ways may the numbers {1, 2, 3, 4, 5, 6} be ordered such that no two consecutive terms have a sum which is divisible by 2 or 3?

1)6 2)12 3)15 4)14 5) None of these

18. Let f(n) denote the square of the sum of the digits of n. Let f 2(n) denote f(f(n)), f 3(n) denote f(f(f(n))) and so on. Then f 1998(11) =

1)4 2)56 3)169 4)16 5) None of these

19. A biologist catches a random sample of 60 fish from a lake, tags them and releases them. Six months later she catches a random sample of 70 fish and finds 3 are tagged. She assumes 25% of the fish in the lake on the earlier date have died or moved away and that 40% of the fish on the later date have arrived (or been born) since. What does she estimate as the number of fish in the lake on the earlier date?

1)840 2)280 3)560 4)750 5) None of these

D C

A B

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20. Michael Jordan's probability of hitting any basketball shot is three times than mine, which never exceeds a third. To beat him in a game, I need to hit a shot myself and have Jordan miss the same shot. If I pick my shot optimally, what is the maximum probability of winning which I can attain?

1)16

1 2)

12

1 3)

6

5 4)1/14 5) None of these

21. By adding four consecutive integers it is possible to make different totals. For example, 16 + 17 + 18 + 19 = 70, which is also divisible by 10. How many of the numbers under 100 that are divisible by 10 can you make by adding four consecutive integers?

1) 5 2)4 3)9 4)8 5) None of these

22. The sequence 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, …..consists of 1’s separated by blocks of 2’ with ‘n’ 2’s in the nth block. The sum of the first 1234 terms of this sequence is

1)1996 2)2419 3)2429 4)2439 5) None of these

23. Six distinct natural numbers are chosen at random. First three denote the sides of a packing box which is in the shape of a cuboid and the other three are the sides of a carton, which is again cuboid in which a delivery boy puts the packing box. What is the probability that the packing box can be placed inside a carton with its faces parallel to that of carton?

(1) 1/2 (2)1/3 (3)1/4 (4)2/3 (5) None of these

24. Dhadak-Dhadak express travels from Ludhiana to Shahadatganj. On 14th November, after having traveled for 6 hours at usual speed, the train met with an accident. Though there were no casualties, the engine-repair-squad took 4 hours to repair the engine such that the engine could temporarily run at three fifth of its original speed. When the train reached Shahadatganj, it was already 8 hours late from the scheduled time. What is the normal travel time for Dhadak-Dhadak express between the two stations?

(1) 16 hours (2) 12 hours (3) 6 hours (4)10 hours (5) None of these

25. Given f(x) = (3x – 1)/ (4x+2), then f [f(x)] will be

(1)(5x-5)/20x (2) 5x+5/20 (3) 5x/20 (4)20/5x (5) 5x+5/20x

26. In each __________, scanners detected increased blood __________ in relevant parts of the brains of hypnotized patients who were put through color and pain tests.

A. case… flow B. instance… stain C. place… powder D. position… current

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E. testament… stream

27. For the first time in 35 years, Alfa Alfa has __________ an unprofitable quarter.

A. understood B. managed C. handled D. experienced E. related

28. Subhendu unveiled his __________ research plan to the committee last Monday; he expects to have a final plan ready for a __________ by January.

A. preliminary … vote B. luminous… printing C. concluding… decision D. definitive… judgment E. ultimate…verdict

29. In true entrepreneurial style, Anuradha has turned the popular book into a __________ global business of books, games, and videos that teach the __________ of financial freedom that she used to build her fortune.

A. flourishing… whim B. starving… tenet C. skulking… dogma D. thriving … principles E. pedestrian… ideas

30. Jamshedpur has not taken any comprehensive ___________ on transportation funding since___________ the sales tax a half-cent in 1986.

A. heart… increasing B. modification… adjusting C. shape… moving D. action … raising E. amendment… heaving

31. Originally, the completion of the project was planned to take at least 15 years, but effective resource and

technological advances have ________ the team’s progress.

A. energized B. postponed C. accelerated D. deferred E. retarded

Questions 32 to 43: Read the passages and answer the questions based on them.

CAT 2008- Sample Paper

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PASSAGE 1

Nearly twenty years ago, biochemists found that a separable constituent of deoxyribonucleic acid (or DNA) appeared to guide the cell's protein-synthesizing machinery. The internal structure of DNA seemed to represent a set of coded instructions which dictated the pattern of protein-synthesis. Experiments indicated that in the presence of appropriate enzymes each DNA molecule could form a replica, a new DNA molecule, containing the specific guiding message present in the original. This idea, when added to what was already known about the cellular mechanisms of heredity (especially the knowledge that DNA is localized in chromosomes), appeared to establish a molecular basis for inheritance.

Proponents of the theory that DNA was a "self-duplicating" molecule, containing a code that by itself determined biological inheritance, introduced the term “central dogma” into scientific literature. They did so in order to describe the principles that could explain the DNA's governing role. The dogma originally involved an admittedly unproven assumption that, whereas nucleic acids can guide the synthesis of other nucleic acids and of proteins, the reverse effect is impossible; that is, proteins cannot guide the synthesis of nucleic acids. But actual experimental observations deny the second and crucial part of this assumption. Other test-tube experiments show that agents besides DNA have a guiding influence. The kind of protein that is made may depend on the specific organism from which the necessary enzyme is obtained. It also depends on the test tube's temperature, the degree of acidity, and the amount of metallic salts present.

The central dogma banishes from consideration the interactions among the numerous molecular processes that have been discovered in cells or in their extracted fluids. In the living cell, molecular processes - the synthesis of nucleic acids and proteins or the oxidation of food substance - are not separate but interact in exceedingly complex ways. No matter how many ingredients the biochemists' test tubes may contain, the mixtures are nonliving. However, these same ingredients, organized by the subtle structure of the cell, constitute a system which is alive. Consider an example from another field. At ordinary temperatures, electricity flows only so long as a driving force from a battery or generator is imposed upon the circuit. At temperatures near absolute zero, metals exhibit superconductivity: a unique property that causes an electric current to flow for months after the voltage is cut off. Although independent electrons exist in a metal at ordinary temperatures, at very low temperatures they interact with the metal's atomic structure in such a way as to lose their individual identities and form a coordinated, collective system which gives rise tosuperconductivity.

Such discoveries of modern physics show that the unique properties of a complex system are not necessarily explicable solely by the properties that can be observed in its isolated parts. We can expect to find a similar situation in the complex chemical system of the living cells.

32. The author is primarily concerned with

a) Proposing that a new philosophical foundation for modern biochemistry be developed.b) Describing the various processes that take place in a living cell. c) Drawing analogies between different scientific fields. d) Revealing a discrepancy between a scientific theory and some experimental results.e) Questioning the assumptions behind experimental methods in science.

33. The author provides information that would answer which of the following questions?

I. What have test-tube experiments revealed about the role of DNA? II. What viruses interfere with DNA replication? III. What methods have been developed to allow scientists to observe a living cell?

CAT 2008- Sample Paper

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a) I onlyb) II onlyc) I and III only d) II and III only e) I, II and III

34. The author's argument is directed against which of the following?

I. The use of test-tube experimentation alone to establish the validity of scientific theoriesII. The exclusion of experimental facts from the formation of scientific theories III. The observation of certain cellular components in isolation.

a) I only b) I and II only c) I and III only d) II and III only e) I, II and III

35. The author refers to the results of test-tube experiments involving the replication of DNA primarily in order to

a) Question the validity of experimental results that describe the structure of DNA. b) Provide evidence to contradict the theory that DNA alone governs protein synthesis. c) Show the way in which DNA acts as a self-duplicating molecule. d) Explain the internal structure of DNA. e) Reveal how nucleic acid can influence the synthesis of proteins.

36. The author suggests that the most important difference observed between a dead cell and a living cell results primarily from the

a) Differences in the chemical elements present in each. b) Differences in the degree of acidity present in each. c) Biochemical procedures used to examine each cell. d) Varying temperatures at which cells are examined. e) Integrating mechanism thought to exist within the structure of the living cell.

37. The author presents his argument primarily by

a) Contrasting two fields of science. b) Providing experimental evidence against a point of view.c) Criticizing proponents of other theories. d) Stating a new theory and its important implications. e) Comparing two theories of cellular structure.

Questions 38 to 43 are based on the following passage: PASSAGE 2

On the grassy slope below me was the god's precinct, a sacred spot, entered on pain of death. Indeed, worshippers of old believed that, once there, neither man nor beast could cast a shadow. In times past they had processed up this mountain in the night to reenact a ritual human sacrifice to their god—or so ancient sources tell us. At the festive meal, a person who chanced to eat human flesh mixed with the flesh of sacrificed animals would transform into a werewolf. In fact, Lykaion

CAT 2008- Sample Paper

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signifies wolf.

These enigmatic rites were celebrated not by an uncivilized people in a forgotten land but rather in the heart of classical Greece during its so-called Golden Age. The practitioners of these rites were respected Greek citizens, not fringe cultists, who worshiped Zeus, the king of the Gods. In a way, these rites were no more bizarre than countless mainstream festivals of the time: During the Athenian Thesmophoria, women retrieved the decayed bodies of piglets from pits into which they had tossed the dead animals months earlier, and in the rites of the goddess Artemis that took place at Brauron little girls impersonated bears.

Like all periods of history, the Classical Age of Greece, which lasted from about 500 B.C. until the death of Alexander the Great in 323 B.C., was complex and contradictory, a mix of superstition and rationality that blended revolutionary concepts and age-old traditions. Classical Greece is rightly regarded as a high-water mark of civilization. Yet the living, breathing people who created this culture did not exist merely to turn out masterpiece after masterpiece for the later Western world to study, though it may seem that way to students of the humanities reluctant to embrace the less enchanting aspects of the culture. Because so much of Western culture has its roots in classical Greece, it is easy to overlook the living context from which this heritage arose. We focus on what we know, ignoring the features that strike us as bizarre or even repugnant.

The great masterpieces of ancient Greece are our heritage, but it is doubtful that any modern Western person can fully comprehend their background. How can we, in the 21st century, envision the magic spells of the sorceress Medea? Or the magic behind the routine spilling of animal blood as sacrifice? Or the use of curse objects to summon ghosts from the underworld to harm one's enemies? Yet these practices and beliefs, as much as the spirit of democracy and the value of aesthetic beauty, formed the nerves and sinews of ancient Greek culture. To professional classicists this is old news, but to the layman these unfamiliar aspects of Classical Greece are shocking. Unfamiliar as well, to the layman, are the centuries of earlier Greek life that laid the foundation for the famous “Golden Age” we study in school. For these reasons, I determined that when I traveled to Greece, I would visit all these different eras and rituals. I would pay tribute to the Parthenon—but also examine the “voodoo dolls” in the Kerameikos Museum in Athens.

On the island of Euboea, north of Athens, an unusual site demonstrates that the Golden Age did not spring into existence fully formed but instead was centuries in the making. On a nondescript hillock overlooking the sea near the town of Lefkandi, a tenth-century B.C. grave was revealed when ground was dug up for a house. The work unearthed the remains of an elaborate cremation and burial, uncannily similar to the burials of heroes described in Homer's Iliad. In addition to the deceased's bones, carefully wrapped in a piece of fabric and placed in an heirloom bronze urn, excavators found evidence of a building nearly 160 feet in length that had once covered the burial site.

Dating from the era traditionally known as Greece's Dark Age—some three and a half centuries that began with the collapse of the Mycenaean world—the Lefkandi finds were a reminder that however murky or “dark” this historical period may be to us, to the people of the time it was life. The Dark Age was an age of many things: oral bards continued the tradition of transmitting the Homeric masterpieces, the Iliad and Odyssey; distinctive pottery with geometric patterns was made throughout Greece; and as the Lefkandi site indicated, people built impressive structures to bury their dead in a manner befitting heroes. Like the carefully preserved bronze urn, two centuries older than the bones it contained, ideas—and culture—were passed on from generation to generation of Greek people.

38. Classical Greece is one basis of Western culture and heritage. This statement

a) Follows directly from the passageb) Is partially true.

CAT 2008- Sample Paper

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c) Cannot be derived from the passage.d) Is an unstated assumption made in the passage. e) May be inferred from the passage.

39. “Students of the humanities” are called reluctant by the author because

a) Studying Ancient Greece is not pleasant. b) Classical Greece has so many facets to study.c) History is normally approached with reluctance. d) The Greeks did not always turn out masterpieces.e) None of the above.

40. Which of the following may be inferred from the passage?

a) Mount Lykaion's history embodies that past of Greece, which, though little known, holds its audience enthralled.

b) Mount Lykaion represents historical Greece in an enigmatic, unfriendly and rare manner. c) Mount Lykaion's story is the story of a Greece that is at the same time repulsive and interesting. d) The history of Mount Lykaion tells the intimidating past of a Greece that is unknown. e) Mount Lykaion represents an aspect of ancient Greek civilization that is little known and definitely

not celebrated.

41. The “nerves and sinews” of ancient Greek culture would omit which of the following?

a) Bizarre practices b) The spirit of democracy c) The canons of beauty d) A belief in ghosts and sacrificese) Revolutionary architecture

42. The Lefkandi findings indicate that

a) Life was as complex and difficult during the Dark Age as any other period in history.b) Life went on just as it had for centuries in Greece, regardless of how we now classify that time

period. c) However “dark” this period may seem to later civilizations it was an honorable age. d) The Iliad and the Odyssey were transferred by oral bards. e) Large burial sites only existed during the Dark Age

43. The author's attitude towards the Dark Age of Ancient Greece is one of

a) Surpriseb) Amusementc) Reverenced) Acceptancee) Opposition

Directions for Questions 44-48:

In each of the following questions, there are four sentences. For each of the sentences, you have to identify whether it is a Fact, an Inference or a Judgement

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Facts are defined as 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 are defined as conclusions drawn about the unknown, on the basis of the known (the answer option indicates such a statement with an ‘I’)

Judgements are defined as opinions that imply approval or disapproving of persons, objects, situations and occurrences in the past, the present or the future (the answer option indicates such a statement with a ‘J’)

44. Select the answer option that best describes the set of four statements.

1. “I applaud Cipla and Matrix for their commitment to lower the cost of new drugs at the forefront of the fight against AIDS” Bill Clinton said at a special ceremony in New York last month to announce the breakthrough.

2. Such paring of costs is critical for reaching larger numbers of the AIDS afflicted because second line treatment costs 10 times that of first line therapy. Worryingly, well over half a million patients will require these drugs by 2010 according to UN estimates.

3. That’s why everyone is turning to India, says Leela Meghaney, who leads the India campaign for access to essential medicines on behalf of MSF, one of the best known voluntary agencies world-wide.

4. At the moment, none of the three drugs for which CLS have been announced are patented here, thus enabling Indian companies to export such generics.

a) FFFI b) FIFI c)FJFI d)JJFI e)JJJI

45. Select the answer option that best describes the set of four statements.

1. Consider the genesis of India’s SEZ’s: They were born in misinformation and half-truths.

2. It was first conceptualized by the then Commerce Minister Murasoli Maran in 2000.

3. The commerce ministry said SEZ’s could accomplish 5 primary objectives – namely generate additional economic activity, create employment, increase production, promote foreign exports and develop infrastructure.

4. A close examination of the objectives shows these claims to be ill-conceived and overstated.

a) JIFJ b) JJFJ c)IJJF d)JFFI e)JFFJ

46. Select the answer option that best describes the set of four statements.

1. The Indian constitution had originally enshrined the right to property as a fundamental right.

2. However, it was downgraded in the 44th amendment in 1977 and revised.

3. It now says “No person shall be deprived of his property save by authority of law”

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4. Over the years, India has – like most countries – passed legislation that dilutes the rights of it’s citizens to own and acquire property, leading to ‘a reduced meaning of freedom’ for Indians in general.

a) FFFI b) FFFF c)FFFJ d)FFIJ e)IFFI

47. Select the answer option that best describes the set of four statements.

1. The decision over two and a half decades ago, on part of China’s ruling enclave of private enterprise at a sleeping fishing village Shenzhen proved to be momentous.

2. It heralded a change that put China on the global economic map.

3. Encouraged by the initial response, the Chinese government warmed up to foreign investments, made financial policies flexible and introduced low tax tariffs.

4. To other developing countries, China’s success in SEZ’s are examples to emulate.

a) JJJJ b) JJIJ c)JIIJ d)JJJI e)JJII

48. Select the answer option that best describes the set of four statements.

1. My colleagues and I run a small corporate and economic advisory company.

2. Like many in India, we work long hours to increase our client base within the country and abroad and in the process, develop our business.

3. I am proud to say that we do so ethically.

4. Our objective is simple: to please clients by offering superior advisory services at affordable prices and thus to grow the enterprise in a sound, financially prudent, honest and ethical manner.

a) JJJF b) FFJF c)FJJJ d)JFJJ e)FFJJ

Directions for Qs. 49– 50: For each of the given passages, choose the most logical continuation and conclusion to the passage.

49 Poor citizens have little clout with politicians. In some countries the citizenry has only a weak hold on politicians. Even if there is a well functioning electoral system, poor people may not be able to influence politicians about public services. They may not be well informed about the quality of public services (and politicians know this); they may vote along ethnic or caste lines, placing less weight on public services when evaluating politicians; or they may not believe the candidates who promise better public services – for example, because their term in office is too short to deliver on the promise.

a) And they may vote instead for candidates who provide a promise of a government which is free of corruption.

b) And they may not vote instead for candidates who provide ready cash, personal favours, and jobs.

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c) And they may vote instead for candidates who provide ready cash, personal favours, and jobs.

d) And therefore they may not participate in the process of voting at all.

e) And they may vote instead for candidates who provide faster results.

50. Why have public expenditures in India failed to deliver basic services to the majority of poor citizens, when political representatives taking decisions over public resource allocation depend upon the support of the poor to win office? India is unique in the developing world not only in sustaining democratic elections to multiple tiers of government over an extended period of time, but also in extensive participation in the political process by its poor and disadvantaged citizens, which by several accounts have been increasing over time.

a) Political incumbents and contenders therefore have to choose policies to woo the large majority of low income voters in order to win elections.

b) Political incumbents and contenders are unable to win elections without catering to the demands of low income voters.

c) Thus the politicians of all hues have to address to these pressing needs of the Indian democracy.

d) Thus the political contenders and incumbents ensure the support of poor people by any means, even if they are illegal.

e) Inspite of this, the benefits of public expenditure in India continues to elude the low income voters.

SECTION 3 (DATA INTERPRETATION AND LOGICAL REASONING)

Directions for Questions 51 to 55: on the basis of following information:The Indian association of footballers has started with a new idea to promote the growth of the young talent across India and they had formed the Indian football League (IFL).A round of matches of the Indian football League (ICL) involves each team playing against every other team once. The league is played over a total of six teams. The points table, with certain data missing, at the end of first round of group matches of IFL is given below:

S.NO TEAM NO OF MATCHES PLAYED

POINTS

1 HYDERABAD LIONS 5 152 CHENNAI LIONS 5 73 HYDERABAD KNIGHT

RIDERS5 0

4 MARATHA SUPERKINGS

5 7

5 ORISSA SUPERKINGS 5 4

6 SHERE DA PUNJAB 5 -

The points for the teams are calculated as under3 points for a win1 point for a draw0 points for a loss.

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If two teams tie on points, the team that won the match between the two is ranked higher. If still there is a tie, goal differences, goals scored, goals conceded are used in that order for tie breaking. It is known that Shere da Punjab won its match against Chennai lions. Also, the Maratha Superkings did not draw its match against Chennai lions.

51. If the IFL, in fact, had a seventh team which comprises of the old senior players and the captain Subroto Banerjee registered his team as– Black Panthers (BPT)– which lost to hyderabad Lions and Chennai lions but won against all other teams in the first round, which team would be ranked third on the points table?

(1) Chennai lions (2)Maratha superkings (3) Shere da punjab(4) Black Panther (5) Indeterminate

52. Football fans are are very excited to know that at the end of first round matches, what was the sum of points of all teams taken together ?

(1) 42 (2) 43 (3) 44 (4)52 (5) Indeterminate

53. If a seventh team, viz., Black Panther (BPT) – (whose record is missing from the table) lost to Hyderabad Lions and Shere da punjab but won against Hyderabad knight riders and Orissa Super kings, drawing remaining two matches of the first round, which team would be ranked third after the end of first round?

(1) Chennai Lions (2) Maratha superkings (3) Shere e da Punjab (4) Black Panther (5) Indeterminate

54. At the most, how many matches were drawn in the first round of ICL?

(1) 3 (2)2 (3) 7 (4) 8 (5) Indeterminate

55. If record of Black Panther the seventh team in the league, is missing, how many of the seven teams could be placed second in the ranking after first round?

(1) 6 (2) 1 (3) 2 (4) 3 (5) 5

Directions for Questions 56 to 60: Refer to the data below and answer the questions that follow:

There are 6 teachers Devi Dayal, Kumar Gaurav, Sanjeev, Wasim, Shoaib and Kamran. They teach 6 different subjects- Physics, Chemistry, Zoology, Bbotany, English and Geography, not necessarily in the same order. They belong to 6 different states – Bihar, Rajasthan., West Bengal., Kashmir, Himanchal Pradesh and Arunanchal Pradesh and drive 6 different cars- Alto, Royalrose, BMW, Wagon R, Fiat and Esteem. The Following information is given:

The English teacher drives a Wagon R. Shoaib knows Chemistry but does not drive an Esteem or Alto and does not belong to Bihar and

West Bengal. Wasim and Kamran. don’t know either of Botany and English, but belong to Arunanchal Pradesh

and Himachal Pradesh respectively. The teacher from West Bengal. drives a BMW. Devi Dayal and Kumar Gaurav don’t know Zoology or Geography, and Kumar Gaurav drives a

BMW. The Physics teacher drives a BMW and Sanjeev is from Kashmir Devi Dayal drives a Wagon R and Sanjeev drives a fiat.

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56. Shoaib drives

(1)Royalrose (2) Wagon R (3) Alto (4) BMW (5) None of these

57. English is taught by

(1) Devi Dayal (2) Sanjeev (3) Wasim (4) Kamran (5) None of these

58. If Wasim drives an Alto, then Kamran must drive a:

(1) Fiat (2) Wagon R (3) Royalrose (4) Esteem (5) None of these

59. Devi Dayal belongs to

(1) Bihar (2) Rajasthan. (3) A.P (4) W.B. (5) None of these

60. The teacher from Rajasthan is...

(1) Devi Dayal (2) Kumar Gaurav (3) Kamran(4) Shoaib (5) None of these

Directions for Questions 61 to 65: Each questions below is followed by two statements, A and B. Answer each question using the following instructions:

Choose 1 : If the question can be answered by statement I aloneChoose 2 : If the question can be answered by statement II aloneChoose 3 : If the question can be answered by using both the statements togetherChoose 4 : If question can be answered even by any statement alone.Choose 5 : Data Insufficient

61. What was the result of the football match between Hyderabad Dynamos and Chennai Veerans?

A. At the end of the first half Hyderabd Dynamos had scored 2 goals more than Chennai Veerans B. In the second half Chennai Veerans scored 3 goals.

62. What is the radius of the circle?

A. Ratio of its area to circumference is > 5.B. Diameter of the circle is � 24.

63. Triangle PQR has angle PRQ equal to 90o, what is the value of PR + RQ?

A. Diameter of the inscribed circle of the triangle PQR is equal to 10 cm. B. Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm.

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64. A rectangle is inscribed in a circle. What is the area of the portion of the circle not covered by the rectangle?

A. The radius of the circle is 6 cm.B. The rectangle has the largest possible area that can be inscribed in the circle, and the sum of itstwo adjacent .

Directions for Questions (65- 69):Four families decided to visit Zoo at Hazratganj in Lucknow and agreed to meet at stadium before moving for Zoo. One family has no kid, while the others have at least one kid each. Amongst each family with kids, at least one kid goes to the Zoo. Following are the information about the families.

(1) The family with two kids came just before the family with no kids.(2) N who does not have any kids reaches just before M’s family.(3) V and his wife reached last with their only kid.(4) W is not husband of L.(5) W and Y are fathers.(6) M’s and K’s daughters go to the same school.(7) L came before N and met K when she reached the fixed place.(8) X stays farthest from the place and he is a good singer.(9) Y explained that his son could not come because of exams.

65. Who amongst the females arrived third?

(1) K (2) L (3) M (4) N (5) Cannot be determined

66. Which is the correct pair of husband and wife?

(1) Y and N (2) V and M (3) W and M (4) Y and K (5) Cannot be determined

67. Whose daughters go to the same school?

(1) W and X (2) V and X (3) V and W (4) W and Y (5) Cannot be determined

68. Whose family has definitely more than one kid?

(1) X’s (2) Y’s (3) W’s (4) V’s (5) Cannot be determined

69. Among the males, who arrived second?

(1) V (2) W (3) X (4) Y (5) Cannot be determined

Direction for Questions(70– 75)

Five television actors namely Amitabh, Shehbaz, Anees, Sumit and Akram are engaged in the shooting of five different serials with five different actresses Madhu, Kavita, Arpita, Shikha and Julie not necessarily in the same order, in different studios.

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The director of each serial decided to set record by making the serials as early as possible.

(1) Arpita’s studio is between Amitabh’s and Akram’s studios.(2 ) Shehbaz’s director who doesn’t have Arpita as an actress in the shooting took three fourths as many as the number of days taken by Sumit’s director.(3) Akram’s studio number is 317.(4) Anees’s serial took more day’s than Amitabh’s , while Amitabh’s serial took more days than Arpita’s to get finalized.(5) The director from studio number 318 took 16 days lesser than the director from studio number 315 to complete a serial.(6) Shikha’s serial took 8 days more than Amitabh’s and two days more than Julie’s.(7) Madhu’s studio number is 316.

(70) Who is the opposite of Kavita in her serial?

(1) Amitabh (2)Shehbaz (3)Akram (4)Sumit (5) Cannot be determined

71) Which of the following pair is correct for the serial shooted in studio number 318?

(1) Akram and Shikha (2) Anees and Apita (3)Shehbaz and Arpita(4) none of these (5) Cannot be determined

72) The director of which studio made the serial in the least number of days?

(1) Studio No. 315 (2) Studio No. 316 (3)Studio No. 317 (4) Studio No. 318 (5) Cannot be determined

73) Name the actress of studio no. 317.

(1) Kavita (2) Arpita (3)Julie (4) Shikha (5) Cannot be determined

74) Sumit’s serial was completed in :

(1) 44 days (2) 40 days (3) 32 days (4) 50 days (5) Cannot be determined

75) Anees’s opposite was:

(1) Julie (2) Shikha (3)Arpita (4) Madhu (5) Cannot be determined