Free Mock CAT

Total Time alloted for Test = 140 Minutes, Timer : 00:00

SECTION 1 - Quantitative Aptitude & Data Interpretation

Quantitative Aptitude - Questions 1 - 25

Q1. How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?





Q2. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats? ?





Q3. What is the probability of getting a sum 9 from two throws of a dice?





Q4. What are the last two digits of 7^2008 (7^2008 means 7 to the power of 2008) ?





Q5. In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD =3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?





Q6. A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?





Q7. The number of common terms in the two sequences 17, 21, 25,……,417 and 16, 21, 26,….,466 is:





Q8. Let f(x) be a function satisfying f(x) f(y) = f(xy) for all real x, y. If f(2) = 4, then what is the value of f(1/2)?





Q9. The integers 1, 2,…….., 40 are written on a blackboard. The following operation is then repeated 39 times: in each repetition, any two numbers say a and b, currently on the blackboard are erased and a new number a+b-1 is written. What will be the number left on the board at the end?





Q10. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?





Q11. Three consecutive positive integers are raised to the first, second and third powers respectively and then added. The sum so obtained is a perfect square whose square root equals the total of the three original integers. Which of the following best describes the minimum, say m, of these three integers?





Q12. Ten years ago, the ages of the members of a joint family of eight people added up to 231 years.Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a





Q13. Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?





Q14. A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?





Q15. How many pairs of positive integers m, n satisfy
(1/m) + (4/n) = 1/12
where n is an odd integer less than 60?





Q16. In a tournament, there are n teams T1 , T2 . . . . . , Tn with n > 5. Each team consists of k players, k > 3.
The following pairs of teams have one player in common:
T1& T2 , T2 & T3 ,......, Tn _ 1 & Tn , and Tn & T1 .
No other pair of teams has any player in common. How many players are participating in the tournament, considering all the n teams together?





Q17. Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?





Q18. The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the nth day of 2007 (n=1,2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal?





Q19. Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?





Q20. A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f (x) at x = 10?





Q21. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?





Q22. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine did the cask originally hold?





Q23. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?





Q24. A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is





Q25. When two dice are tossed, what is the probability that the total score is a prime number?







Data Interpretation - Questions 26 - 50

Directions for Questions 26 to 29: Answer the following questions based on the information given below:

The bar chart below shows the revenue received, in million US Dollors (USD), from subscribers to a particular internet service. The data covers the period 2003 to 2007 for the United States (US) and Europe. The bar chart also shows the estimated revenues from subscription to this service for the period 2008 to 2010

Q26. In 2003, sixty percent of subscribers in Europe were men. Given that women subscribers increase at the rate of 10 percent per annum and men at the rate of 5 percent per annum, what is the approximate percentage growth of subscribers between 2003 and 2010 in Europe? The subscription prices are volatile and may change each year.





Q27. Consider the annual percent change in the gap between subscription revenues in the US and Europe. What is the year in which the absolute value of this change is the highest?





Q28. While the subscription in Europe has been growing steadily towards that of the US, the growth rate in Europe seems to be declining. Which of the following is closest to the percent change in growth rate of 2007(over 2006) relative to the growth rate of 2005(over 2004)?





Q29. The difference between the estimated subscription in Europe in 2008 and what it would have been if it were computed using the percentage growth rate of 2007(over 2006), is closest to:





Directions for Questions 30 to 33: Answer the following questions based on the information given below:
A health-drink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P, Q, R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50, Q: 200, R: 500, S: 100.

Q30. For a recuperating patient, the doctor recommended a diet containing 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients?





Q31. Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients.





Q32.In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?





Q33. The company is planning to launch a balanced diet required for growth needs of adolescent children. This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?





Directions for Questions 34 to 37: 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.

Q34. In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?
A. Sixty per cent of the top academic performers were not athletes.
B. All the top academic performers were not necessarily athletes.






Q35. Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank as compared to Ernesto, while Bala got a higher rank as compared to Chetan. Chetan’s rank was lower than the median. Who among the five got the highest rank?
A. Atul was the last rank holder.
B. Bala was not among the top two rank holders.






Q36. Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?
A. Twenty five per cent of the employees have engineering background.
B. Number of male employees having an engineering background is 20% more than the number of female employees
having an engineering background.






Q37. In a football match, at the half-time, Mahindra and Mahindra Club was trailing by three goals. Did it win the match?
A. In the second-half Mahindra and Mahindra Club scored four goals.
B. The opponent scored four goals in the match.






Directions for Questions 88 to 90: Answer the following questions based on the information given below:
For admission to various affiliated colleges, a university conducts a written test with four different sections, each with a maximum of 50 marks. The following table gives the aggregate as well as the sectional cut-off marks fixed by six different colleges affiliated to the university. A student will get admission only if he/she gets marks greater than or equal to the cut-off marks in each of the sections and his / her aggregate marks are at least equal to the aggregate cut-off marks as specified by the college.

Q38. Charlie got calls from two colleges. What could be the minimum marks obtained by him in a section?





Q39. Aditya did not get a call from even a single college. What could be the maximum aggregate marks obtained by him?





Q40. Bhama got calls from all colleges. What could be the minimum aggregate marks obtained by her?





Directions for Questions 41 to 43: Answer the following questions based on the information given below:
The graph below shows the end of the month market values of 4 shares for the period from January to June. Answer the following questions based on this graph.

Q41. Which share showed the greatest percentage increase in market value in any month during the entire period?





Q42. In which month was the greatest absolute change in market value for any share recorded?





Q43. In which month was the greatest percentage increase in market value for any share recorded?





Directions for Questions 44 to 48: Answer the following questions based on the pie chart given below:

Q44. The operating profit in 1991-92 increased over that in 1990-91 by?





Q45. The interest burden in 1991-92 was higher than that in 1990-91 by?





Q46. If on an average, 20% rate of interest was charged on borrowed funds, then the total borrowed funds used by this company in the given two years amounted to?





Q47. The retained profit in 1991-92, as compared to that in 1990-91 was?





Q48. The equity base of these companies remained unchanged. Then the total dividend earning by the share holders in 1991-92 is:





Directions for Questions 49 to 500: Answer the following questions based on the information given below:
Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. She has three options, each of which can be utilized fully or partially in conjunction with others.
Option A: Invest in a public sector bank. It promises a return of +0.10%.
Option B: Invest in mutual funds of ABC Ltd. A rise in the stock market will result in a return of +5%, while a fall will entail a return of – 3%.
Option C: Invest in mutual funds of CBA Ltd. A rise in the stock market will result in a return of – 2.5%, while a fall will entail a return of + 2%.

Q49. The maximum guaranteed return to Shabnam is





Q50. What strategy will maximize the guaranteed return to Shabnam?





SECTION 1 - Verbal Ability & Logical Reasoning

Verbal Ability - Questions 51 - 75

Directions for questions 51 – 55: Passage given below is followed by 5 questions. Choose the best answer to each question.

A remarkable aspect of art of the present century is the range of concepts and ideologies which it embodies. It is almost tempting to see a pattern emerging within the art field- or alternatively imposed upon it a posteriori - similar to that which exists under the umbrella of science where the general term covers a whole range of separate, though interconnecting, activities. Any parallelism is however- in this instance at least – misleading. A scientific discipline develops systematically once its bare tenets have been established, named and categorized as conventions. Many of the concepts of modern art, by contrast, have resulted from the almost accidental meetings of group of talented individuals at certain times and certain places. The ideas generated by these chance meetings had twofold consequences. Firstly, a corpus of work would be produced which, in great part, remains as a concrete record of the events. Secondly, the ideas would themselves be disseminated through many different channels of communication- seeds that often bore fruit in contexts far removed from their generation. Not all movements were exclusively concerned with innovation. Surrealism, for instance, claimed to embody a kind of insight which can be present in the art of any period. This claim has been generally accepted so that a sixteenth century painting by Spranger or a mysterious photograph by Atget can legitimately be discussed in surrealist terms. Briefly, then, the concept of modern art are of many different (often fundamentally different) kinds and resulted from the exposures of painters, sculptors and thinkers to the more complex phenomena of the twentieth century, including our ever increasing knowledge of the thought and products of earlier centuries. Different groups of artists would collaborate in trying to make sense of a rapidly changing world of visual and spiritual experience. We should hardly be surprised if no one group succeeded completely, but achievements, though relative, has been considerable. Landmarks have been established – concrete statements of position which give a pattern to a situation which could easily have degenerated into total chaos. Beyond this, new language tools have been created for those who follow – semantic systems which can provide a springboard for further explorations.

The codifying of the art is often criticized. Certainly one can understand that artists are wary of being pigeon-holed since they are apt to think of themselves as individuals – sometimes with good reason. The notion of self-expression, however, no longer carries quite the weight it once did; objectivity has its defenders. There is good reason to accept the ideas codified by artists and critics, over the past sixty years or so, as having attained the status of independent existence – an independence which is not without its own value. The time factor is important here. As an art movement slips into temporal perspective, it ceases to be a living organism- becoming, rather, a fossil. This is not to say that it becomes useless or uninteresting. Just as a scientist can reconstruct the life of a prehistoric environment from the massage codified into the structure of a fossil, so can an artist decipher whole webs of intellectual and creative possibility from the recorded structure of a ‘dead’ art movement. The artist can match the creative patterns crystallized into this structure against the potentials and possibilities of his own time. As T.S.Eliot observed, no one starts anything from scratch; however consciously you may try to live in the present, you are still involved with a nexus of behavior patterns bequeathed from the past. The original and creative person is not someone who ignores these patterns, but someone who is able to translate and develop them so that they conform more exactly to his- and our – present needs.

Q51.Many of the concepts of modern art have been the product of




Q52.In the passage, the word ‘fossil’ can be interpreted as




Q53.In the passage, which of the following similarities between science and art may lead to erroneous conclusions?




Q54. The range of concepts and ideologies embodied in the art of the twentieth century is explained by




Q55.The passage uses an observation by T.S.Eliot to imply that






Directions for questions 56 – 60: Passage given below is followed by 5 questions. Choose the best answer to each question.

Passage:

To summarize the Classic Maya collapse, we can tentatively identify five strands. I acknowledge, however, that Maya archaeologists still disagree vigorously among themselves – in part, because the different strands evidently varied in importance among different parts of the Maya realm; because detailed archaeological studies are available for only some Maya sites; and because it remains puzzling why most of the Maya heartland remained nearly empty of population and failed to recover after the collapse and after re-growth of forests.

With those caveats, it appears to me that one strand consisted of population growth outstripping available resources: a dilemma similar to the one foreseen by Thomas Malthus in 1798 and being played out today in Rwanda , Haiti and elsewhere. As the archaeologist David Webster succinctly puts it, “Too many farmers grew too many crops on too much of landscape.” Compounding the mismatch between population and resources was the second stand: the effects of deforestation and hillside erosion, which caused a decrease in the amount of useable farmland at a time when more rather than less farmland was needed, and possibly exacerbated by an anthropogenic drought resulting from deforestation, by soil nutrient depletion and other soil problems, and by the struggle to prevent bracken ferns from overrunning the fields.

The third strand consisted of increased fighting, as more and more people over fewer resources. Maya warfare, already endemic, peaked just before the collapse. That is not surprising when one reflects that at least five million people, perhaps many more, were crammed into an area smaller than the state of Colorado (104,000 square miles).That warfare would have decreased further the amount of land available for agriculture, by creating no-man’s lands between principalities where it was now unsafe to farm. Bringing matters to a head was the strand of climate change. The drought at the time of the Classic Collapse was not the first drought that the Maya had lived through, but it was the most severe. At the time of previous droughts, there were still uninhabited parts of the Maya landscape, and people at a site affected by drought could save themselves by moving to another site. However, by the time of the classic collapse the landscape was now full, there was no useful unoccupied land in the vicinity on which to begin anew, and the whole population could not be accommodated in the few areas that continued to have reliable water supplies.

As our fourth strand, we have to wonder why the kings and nobles failed to recognize and solve these seemingly obvious problems undermining their society. Their attention was evidently focused on their short-term concerns of enriching themselves, waging wars, erecting monuments, competing with each other, and extracting enough food from the peasants to support all those activities. Like most leaders throughout human history, the Maya kings and nobles did not heed long-term problems, in so far as they perceived them.

Finally, while we still have some other past societies to consider before we switch our attention to the modern world, we must already be struck by some parallels between the Maya and the past societies.As on Mangareva, the Maya environmental and population problems led to increasing warfare and civil strife. Similarly, on Easter Island and at Chaco Canyon, the Maya peak population numbers were followed swiftly by political and social collapse. Paralleling the eventual extension of agriculture from Easter Island’s coastal lowlands to its uplands, and from the Mimbres floodplain to the hills, Copan’s inhabitants also expanded from the floodplain to the more fragile hill slopes, leaving them with a larger population to feed when the agricultural boom in the hills went bust.Like Easter Island chiefs erecting ever larger statues, eventually crowned by Pukao, and like Anasazi elite treating themselves to necklaces of 2000 turquoise beads, Maya kings sought to outdo each other with more and more impressive temples, covered with thicker and thicker plaster – reminiscent in turn of the extravagant conspicuous consumption by modern American CEOs. The passivity of Eater chiefs and Maya Kings in the face of the real big threats to their societies completes our list of disquieting parallels.

Q56.According to the passage, which of the following best represents the factor that has been cited by the author in the contest of Rwanda and Haiti?




Q57.By an anthropogenic drought, the author means




Q58.According to the passage, the drought at the time of Maya collapse had a different impact compared to the drought earlier because




Q59. According to the author, why is it difficult to explain the reasons for Maya collapse?




Q60.Which factor has not been cited as one of the factors causing the collapse of Maya society?






Directions for Questions 61 to 65: The passage given below is followed by a set of five questions. Choose the most appropriate answer to each question.

When I was little, children were bought two kinds of ice cream, sold from those white wagons with canopies made of silvery metal; either the two-cent cone or the four-cent ice-cream pie. The two-cent cone was very small, in fact it could fit comfortably into a child’s hand, and it was made by taking the ice cream from its container with a special scoop and piling it on the cone. Granny always suggested I eat only a part of the cone, then throw away the pointed end, because it had been touched by the vendor’s hand (though that was the best part, nice and crunchy, and it was regularly eaten in secret, after a pretence of discarding it).

The four-cent pie was made by a special little machine, also silvery, pressed two discs of sweet biscuit against a cylindrical section of ice cream. First you had to thrust your tongue into the gap between the biscuits until it touched the central nucleus of ice cream; then, gradually, you ate the whole thing, the biscuit surfaces softening as they become soaked in creamy nectar. Granny had no advice to give here: in theory the pies had been touched only by the machine; in practice, the vendor had held them in his hand while giving them to us, but it was impossible to isolate the contaminated area.

I was fascinated, however, by some of my peers, whose parents bought them not a four-cent pie but two two-cent cones. These privileged children advanced proudly with one cone in their right hand and one in their left; and expertly moving their hand from side to side, they licked first one, then the other. This liturgy seemed to me so sumptuously enviable, that many times I asked to be allowed to celebrate it. In vain. My elders were inflexible: a four-cent ice, yes; but two two-cent ones, absolutely no.

As anyone can see, neither mathematics nor economics not dietetics justified this refusal. Nor did hygiene, assuming that in due course the tips of both cones were discarded. The pathetic, and obviously mendacious, justification was that a boy concerned with turning his eyes from one cone to the other was more inclined to stumble over stones, steps, or cracks in the pavement. I dimly sensed that there was another secret justification, cruelly pedagogical, but I was unable to grasp it.

Today, citizen and victim of a consumer society, a civilization of excess and waste (which the society of the thirties was not), I realize that those dear and now departed elders were right. Two two-cent cones instead of one at four cents did not signify squandering, economically speaking, but symbolically they surely did. It was for this precise reason that I yearned for them: because two ice creams suggested excess. And this was precisely why they were denied to me; because they looked indecent, an insult to poverty, a display of fictitious privilege, a boast of wealth. Only spoiled children ate two cones at once, those children who in fairy tales were rightly punished, as Pinocchio was when he rejected the skin and the stalk. And parents who encouraged this weakness, appropriate to little parvenus, were bringing up their children in the foolish theatre of “I’d like to but I can’t.” they were preparing them to turn up at tourist-class check-in with a fake Gucci bag bought from a street peddler on the beach at Rimini.

Nowadays the moralist risks seeming at odds with morality, in a world where the consumer civilization now wants even adults to be spoiled, and promise them always something more, from the wristwatch in the box of detergent to the bonus bangle sheathed, with the magazine it accompanies, in a plastic envelope. Like the parents of those ambidextrous gluttons I so envied, the consumer civilization pretends to give more, but actually gives, for four cents, what is worth four cents. You will throwaway the old transistor radio to purchase the new one, that boasts an alarm clock as well, but some inexplicable defect in the mechanism will guarantee that the radio lasts only a year. The new cheap will have leather seats, double side mirrors adjustable from inside, and a paneled dashboard, but it will not last nearly so long as the glorious old Fiat 500,which , even when it broke down, could be started again with a kick.

The morality of the old days made Spartans of us all, while today’s morality wants all of us to be Sybarites.

Q61. Which of the following cannot be inferred from the passage?




Q62. In the passage, the phrase “little parvenus” refers to




Q63. The author pined for two two-cent cones instead of one four-cent pie because




Q64. What does the author mean by “nowadays the moralist risks seeming at odds with morality”?




Q65. According to the author, the justification for refusal to let him eat two cones was plausibly






Directions for Questions 16 to 19: In each question, there are five sentences/paragraphs. The sentence/paragraph labelled A is in its correct place. The four that follow are labelled B, C, D and E, and need to be arranged in the logical order to form a coherent paragraph/passage. From the given options, choose the most appropriate option.

Q66. A. In America, highly educated women, who are in stronger position in the labour market than less qualified ones, have higher rates of marriage than other groups.
B. Some work supports the Becker thesis, and some appears to contradict it.
C. And, as with crime, it is equally inconclusive.
D. But regardless of the conclusion of any particular piece of work, it is hard to establish convincing connections between family changes and economic factors using conventional approaches.
E. Indeed, just as with crime, an enormous academic literature exists on the validity of the pure economic approach to the evolution of family structures,




Q67. A. Personal experience of mothering and motherhood are largely framed in relation to two discernible or “official” discourses: the “medical discourse and natural childbirth discourse”. Both of these tend to focus on the “optimistic stories” of birth and mothering and underpin stereotypes of the ”good mother”.
B. At the same time, the need for medical expert guidance is also a feature for contemporary reproduction and motherhood. But constructions of good mothering have not always been so conceived - and in different contexts may exist in parallel to other equally dominant discourses.
C. Similarly, historical work has shown how what are now taken-for-granted aspects of reproduction and mothering practices result from contemporary “pseudoscientific directives” and “managed constructs”. These changes have led to a reframing of modern discourses that pattern pregnancy and motherhood leading to an acceptance of the need for greater expert management.
D. The contrasting, overlapping, and ambiguous strands within these frameworks focus to varying degrees on a woman’s biological tie to her child and predisposition to instinctively know and be able to care for her child.
E. In addition, a third, “unofficial popular discourse” comprising “old wives” tales and based on maternal experiences of childbirth has also been noted. These discourses have also been acknowledged in work exploring the experiences of those who apparently do not “conform” to conventional stereotypes of the “good mother”.




Q68. A. Indonesia has experienced dramatic shifts in its formal governance arrangements since the fall of President Soeharto and the close of his centralized, authoritarian “New Order” regime in 1997.
B. The political system has taken its place in the nearly 10 years since Reformasi began. It has featured the active contest for political office among a proliferation of parties at central, provincial and district levels; direct elections for the presidency (since 2004); and radical changes in centre-local government relations towards administrative, fiscal, and political decentralization.
C. The mass media, once tidily under Soeharto’s thumb, has experienced significant liberalization, as has the legal basis for non-governmental organizations, including many dedicated to such controversial issues as corruption control and human rights.
D. Such developments are seen optimisticaJly by a number of donors and some external analysts, who interpret them as signs of Indonesia’s political normalization.
E. A different group of analysts paint a picture in which the institutional forms have changed, but power relations have not. Vedi Hadiz argues that Indonesia’s “democratic transition” has been anything but linear.





Q69. A I had six thousand acres of land, and had thus got much spare land besides the coffee plantation. Part of the farm was native forest, and about one thousand acres were squatters’ land, what [the KikuyuJ called their shambas.
B. The squatters’ land was more intensely alive than,the rest of the farm, and was changing with the seasons the year round. The maize grew up higher than your head as you walked on the narrow hard-trampled footpaths in between the tall green rustling regiments.
C. The squatters are Natives, who with their families (hold a few acres on a white man’s farm, and in return have to work for him a certain number of days in the year. My squatters, I think, saw the relationship in a different light, for many of them were born on the farm, and their fathers before them, and they very likely regarded me as a sort of superior squatter on their estates.
D. The Kikuyu also grew the sweet potatoes that have a vine like leaf and spread over the ground like a dense entangled mat, and many varieties of big yellow and green speckled pumpkins.
E. The beans ripened in the fields, were gathered and thrashed by the women, and the maize stalks and coffee pods were collected and burned, so that in certain seasons thin blue columns of smoke rose here and there all over the farm.







Direction for Questions 70 to 73: Each of the following questions has a sentence with two blanks. Given below each question are five pairs of words. Choose the pair that best completes the sentence.

Q70. The genocide in Bosnia and Rwanda apart from being mis-described in the most sinister and …………….manner as ‘ethnic cleansing’ were also blamed , in further hand-washing rhetoric , on something dark and interior to ……………and perpetrators alike.





Q71. As navigators, calendar markers, and other…………..of the night sky accumulated evidence to the contrary, ancient astronomers were forced to …………that certain bodied might move in circles about points, which in turn moved in circles about the earth.





Q72. Every human being, after the first few days of his life, is a product of two factors: on the one hand, there is his ……..endowment; and on the other hand, there is the affect of environment, including…………..





Q73. Exhaustion of natural resources , destruction of individual initiative by governments, control over men’s mind by central…………………..of the education and propaganda are some of the major evils which appear to be on the increase as a result of the impact of science upon minds suited by………to an earlier kind of world.







Direction for Questions 74 to 75: in each of the following questions there are sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are correct in terms of grammar and usage (including spelling, punctuation and logical consistency). Then, choose the most appropriate option.

Q74. A. In 1849, a poor Bavarian immigrant named Levi Strauss
B. landed in San Francisco, California,
C. at the invitation of his brother – in – law David Stern
D. Owner of dry goods business.
E. This dry goods business would later





Q75. A. In response to the allegations and condemnation pouring in, B. Nike implemented comprehensive changes in their labour policy. C. Perhaps sensing the rising tide of global labour concerns, D. from the public would become a prominent media issue, E. Nike sought to be a industry leader in employee relations.









Logical Reasoning - Questions 76 - 100

Directions for Questions 76 and 77: Five horses, Red, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get four times the bet amount and those betting on the horse that came in second get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 and Rs. 1000 on Red, White and Black horses respectively and ends up with no profit and no loss.

Q76. Which of the following can not be true?





Q77. Suppose, in addition, it is known that Grey came in fourth. Then which of the following cannot be true?





Directions for Questions 78 to 82: Answer the following questions based on the information given below:

Abdul, Bikram and Chetan are three professional traders who trade in shares of a company XYZ Ltd. Abdul follows the strategy of buying at the opening of the day at 10 am and selling the whole lot at the close of the day at 3 pm. Bikram follows the strategy of buying at hourly intervals: 10 am, 11 am, 12 noon, 1 pm and 2 pm, and selling the whole at the close of the day. Further he buys an equal number of shares in each purchase. Chetan follows a similar pattern as Bikram but his strategy is somewhat different. Chetan’s total investment amount is divided equally among his purchases. The profit or loss made by each investor is the difference between the sale value at the close of the day less the investment in purchase. The “return” for each investor is defined as the ratio of the profit or loss to the investment amount expressed as a percentage.

Q78. Which one of the following statement is always true?





Q79. On a “boom” day the share price of XYZ Ltd. keeps rising throughout the day and peaks at the close of the day. Which trader got the minimum return on that day?





Q80. Share price was at its highest at





Directions for Questions 81 to 82: Answer the following questions based on the information given below:

Five men Ram, Shyam, Tanmay, Umesh, and Vishesh each work in a hotel and do one out of the following job: mopping, sweeping, laundry, vacuuming, or dusting. They do these jobs one day a week, Monday through Friday. 1. Vishesh does not vacuum and doesn’t work on on Tuesday.
2. Shyam does the dusting, and doesn’t work on Monday or Friday.
3. The mopping is done on Thursday.
4. Tanmay does his task, which is not vacuuming, on Wednesday.
5. The laundry is done on Friday, and not by Umesh.
6. Ram does his task on Monday.

Q81. What task does Tanmay do on Wednesday?





Q82. What task does Vishesh do?





Directions for Questions 83 to 85: Answer the following questions based on the statements given below:

(1) There are three houses on each side of the road.
(2) These six houses are labeled as P,Q,R,S,T and U
(3) The houses are of different colours, namely, Red, Blue, Green, Orange, Yellow and White.
(4) The houses are of different heights.
(5) T, the tallest house, is exactly opposite to the Red coloured house.
(6) The shortest house is exactly opposite to the Green coloured house.
(7) U, the Orange coloured house, is located between P and S.
(8) R, the Yellow coloured house, is exactly opposite to P.
(9) Q, the Green coloured house, is exactly opposite to U.
(10) P, the white coloured house, is taller than R, but shorter than S and Q.

Q83. Which is the second tallest house?





Q84. What is the colour of the tallest house?





Q85. What is the color of the house diagonally opposite to the Yellow colored house?





Directions for Questions 86 to 89: Answer the following questions based on the information given below: In a sports event, six teams (A,B,C,D,E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in stage – 1 and two matches in stage -2. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion if stage-1 and stage-2 are as given below.

Stage -1.
- One team won all the three matches
- Two teams lost all the matches.
- D lost to A but won against C and F.
- E lost to B but won against C and F.
- B lost at least one match.
- F did not play against the top team of stage-1.

Stage-2.
- The leader of Stage-1 lost the next two matches.
- Of the two teams at the bottom after stage-1, one team won both matches, while the other lost both matches.
- One more team lost both matches in stage-2.

Q86. The only teams that won both the matches in stage-2 is (are):





Q87. The teams that won exactly two matches in the event are:





Q88. The team(s) with the most wins in the event is (are):





Q89. The two teams that defeated the leader of stage-1 are:





Directions for Questions 90 to 91: Study the information below and answer questions based on it.
The Head of a newly formed government desires to appoint five of the six elected members A, B, C, D, E and F to portfolios of Home, Power, Defence, Telecom and Finance. F does not want any portfolio if D gets one of the five. C wants either Home or Finance or no portfolio. B says that if D gets either Power or Telecom then she must get the other one. E insists on a portfolio if A gets one.

Q90. Which is a valid assignment?





Q91. If A gets Home and C gets Finance, then which is NOT a valid assignment of Defence and Telecom?





Directions for Questions 92 and 93: Study the information below and answer questions based on it.

Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x units is 240 + bx + cx2 , where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the daily production cost by 66-|%. However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit.

Q92. How many units should Mr. David produce daily?





Q93. What is the maximum daily profit, in rupees, that Mr. David can realize from his business?





Directions for Questions 94 to 97: Study the information below and answer questions based on it.

H, K, L, M, J, D, F, T and W are sitting around a circle facing the centre. L is second to the right of T and third to the left of W. H is second to the left of T. J is fourth to the left of M who is not neighbour of L. F is to the immediate left of J. D is not neighbour of W.

Q94. Who is second to the right of D?





Q95. Who is to the immediate left of H?





Q96. Which of the following pairs of persons have the first person sitting to the immediate right of second person?





Q97. Which of the following is the correct position of W with respect to L?





Directions for Questions 98 to 100: Study the information below and answer questions based on it.

The proportion of male students and the proportion of vegetarian students in a school are given below. The school has a total of 800 students, 80% of whom are in the Secondary Section and rest equally divided between Class 11 and 12.

Q98. What is the percentage of male students in the secondary section?





Q99. In Class 12, twenty five per cent of the vegetarians are male. What is the difference between the number of female vegetarians and male non-vegetarians?





Q100. What is the percentage of vegetarian students in Class 12?








 

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Posted by Tips For CAT/MBA at 8:00 PM

14 comments:

  1. Neeraj AgrawalOctober 4, 2013 at 11:09 PM

    An amazing one!!!! Hats off to the effort you put in for us....Serving humanity(future entrepreneurs) in one of the best ways.... :) 10 on 10 from my side....and yeah, i've got benefitted by this test :) Thanks once again....

    ReplyDelete
    Replies
    1. Tips For CAT/MBAOctober 5, 2013 at 12:48 AM

      Thanks Neeraj for your feedback....it gives immense satisfaction.
      Lot of hard work, sleepless nights has been putted to bring up this test in short time.... Your feedback is motivating and encourages us to do better and better. :)

      Thank you so much!

      Cheers!

      Delete
    2. Neeraj AgrawalOctober 6, 2013 at 6:05 AM

      Can you please spend a few more sleepless nights and create a few more mock CATs before the exam ? I think i'm bothering you a lot but still....? And I wanted to ask a question that was being asked in an interview, it is-- How do we cut a cuboid with just two straight lines so that it gets divided into 7 equal parts? Can you please help with that as well...Thanks for you support :)

      Delete
    3. Tips For CAT/MBAOctober 6, 2013 at 11:18 AM

      Cannot promise you..but will try our best to get another online test..... Currently I have not been able to find a solution for your question, if something strikes in will surely let you know

      Cheers!

      Delete
  2. DipakOctober 10, 2013 at 8:36 AM

    it was good,,,,,and thank you for your hard word to make this kind of platform for us!!!

    ReplyDelete
  3. DipakOctober 10, 2013 at 8:40 AM

    where wld i get the soln??

    ReplyDelete
  4. parthOctober 11, 2013 at 5:53 AM

    i think q no 18 is wrong plz verify

    ReplyDelete
  5. UnknownJanuary 7, 2014 at 10:26 PM

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    ReplyDelete
  6. SwapnilMarch 11, 2014 at 11:15 PM

    hi

    ReplyDelete
  7. Anvesha ShahSeptember 26, 2014 at 4:35 AM

    The mock test was great for revising especially question no. 28, 33, it would be great if you can provide even more similar papers for preparing several other MBA exams.

    Thanks for your work and hard effect.

    ReplyDelete
    Replies
    1. Tips For CAT/MBANovember 21, 2014 at 9:55 AM

      Thanks for your encouraging feedback.... We will try our best to help the aspirants!

      Delete
  8. examhoursMarch 29, 2015 at 9:12 PM

    India No.1 free online mock test website - www.examhours.com

    ReplyDelete

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