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| Mastermind cat sampler The following questions are from past papers of CAT. They will give an indication as to how you should proceed with your preparations. Note that the questions are not difficult, but just require some thought to hit the right answer. The complete set of CAT papers from 1990-2004 (15 years) are available from us on order. For solutions and answers, please order the papers from us by sending a DD for the full amount! _____________________________________________________________________________ 1. Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes? 1. 2 Kg 2. 2.4 Kg 3. 2.5 Kg 4. None of these 2. A ladder leans against a vertical wall. The top of the ladder is 8m above the ground. When the bottom of the ladder is moved 2m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder? 1. 10m 2. 15m 3. 20m 4. 17m 3. Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all elements of S. With how many consecutive zeros will the product end? a) 1 b) 4 c) 5 d) 10 4. What is the number of distinct triangles with integral valued sides and perimeter 14? a) 6 b) 5 c) 4 d) 3 5. Let S be the set of integers x such that: i) 100 x 200 ii) x is odd iii) x is divisible by 3 but not by 7. How many elements does S contain? a) 16 b) 12 c) 11 d) 13 6. There are ten animals -- two each of lions, panthers, bison, bears, and deer -- in a zoo. The enclosures in the zoo are named X, Y, Z, P and Q and each enclosure is allotted to one of the following attendants: Jack, Mohan, Shalini, Suman and Rita. Two animals of different species are housed in each enclosure. A lion and a deer cannot be together. A panther cannot be with either a deer or a bison. Suman attends to animals from among bison, beer and panther only. Mohan attends to a lion and a panther. Jack does not attend to deer, lion or bison. X, Y and Z are allotted to Mohan, Jack and Rita respectively. X and Q enclosures have one animal of the same species. Z and P have the same pair of animals. The animals attended by Shalini are: a) bear & bison b) bison & deer c) bear & lion d) bear & panther 7. Eighty kilograms (kg) of store material is to be transported to a location 10 km away. Any number of couriers can be used to transport the material. The material can be packed in any number of units of 10, 20 or 40 kg. Couriers charges are Rs. 10 per hour. Couriers travel at the speed of 10 km/hr if they are not carrying any load, at 5 km/hr if carrying 10 kg, at 2 km/hr if carrying 20 kg and at 1 km/hr if carrying 40 kg. A courier cannot carry more than 40 kg of load. The minimum cost at which 80 kg of store material can be transported to its distinction will be: a) Rs. 180 b) Rs. 160 c) Rs. 140 d) Rs. 120 Arrange the following into meaningful paragraphs. 8. A. Both parties use capital and labour in the struggle to secure property rights. B. The thief spends time and money in his attempt to steal (he buys wire cutters) and the legitimate property owner expends resources to prevent the theft (he buys locks). C. A social cost of theft is that both the thief and the potential victim use resources to gain or maintain control over property. D. These costs may escalate as a type of technological arms race unfolds. E. A bank may purchase more and more complicated and sophisticated safes, forcing safecrackers to invest further in safecracking equipment. a) ABCDE b) CABDE c) ACBED d) CBEDA 9. A. The likelihood of an accident is determined by how carefully the motorist drives and how carefully the pedestrian crosses the street. B. An accident involving a motorist and a pedestrian is such a case. C. Each must decide how much care to exercise without knowing how careful the other is. D. The simplest strategic problem arises when two individuals interact with each other, and each must decide what to do without knowing what the other is doing. a) ABCD b) ADCB c) DBCA d) DBAC 10. The theory of games is suggested to some extent by parlour games such as chess and bridge. Friedman illustrates two distinct features of these games. First, in a parlour game played for money, if one wins the other (others) loses (lose). Second, these games are games involving a strategy. In a game of chess, while choosing what action is to be taken, a player tries to guess how his/her opponent will react to the various actions he or she might take. In contrast, the card-pastime, ‘patience’ or ‘solitaire’ is played only against chance. Which one of the following can best be described as a “game”? a) The team of Tenzing Norgay and Edmund Hillary climbing Mt. Everest for the first time in human history. b) A national level essay writing competition. c) A decisive war between the armed forces of India and Pakistan over Kashmir. d) Oil Exporters’ Union deciding on world oil prices, completely disregarding the countries which have at most minimal oil production. Comprehension Passage The narrative of Dersu Uzala is divided into two major sections, set in 1902 and 1907, that deal with separate expeditions which Areseniev conducts into the Ussuri region. In addition, a third time frame forms a prologue to the film. Each of the temporal frames has a difference focus, and by shifting them Kurosawa is able to describe the encroachment of settlements upon the wilderness and the consequent erosion of Dersu's way of life. As the film opens, that erosion has already begun. The first image is a long shot of a huge forest, the trees piled upon one another by the effects of the telephoto lens so that the landscape becomes an abstraction and appears like a huge curtain of green. A title informs us that the year is 1910. This is as close into the century as Kurosawa will go. After this prologue, the events of the film will transpire even farther back in time and will be presented as Arseniev's recollections. The character of Dersu Uzala is the heart of the film, his life the example that Kurosawa wishes to affirm. Yet the formal organisation of the film works to contain, to close, to circumscribe that life by erecting a series of obstacles around it. The file itself is circular, opening and closing by Dersu's grave, thus sealing off the character from the modern world to which Kurosawa once so desperately wanted to speak. The multiple time frames also work to maintain a separation between Dersu and the contemporary world. We must go back farther even than 1910 to discover who he was. But this narrative structure has yet another implication. It safeguards Dersu's example, inoculates it from contamination with history, and protects it from contact with the industrialised, urban world. Time is organised by the narrative into a series of barriers, which enclose Dersu in a kind of vacuum chamber, protecting him from the social and historical dialectics that destroyed the other Kurosawa heroes. Within the film, Dersu does die, but the narrative structure attempts to immortalise him and his example, as Dersu passes from history into myth. We see all this at work in the enormously evocative prologue. The camera tilts down to reveal felled trees littering the landscape and an abundance of construction. Roads and houses outline the settlement that is being built; Kurosawa cuts to a medium shot of Arseniev standing in the midst of the clearing, looking uncomfortable and disoriented. A man passing in a wagon asks him what he is doing, and the explorer says he is looking for a grave. The driver replies that no one has died here, the settlement is too recent. These words enunciate the temporal rupture that the film studies. It is the beginning of things (industrial society) and the end of things (the forest), the commencement of one world so young that no one has had time yet to die and the eclipse of another, in which Dersu has died. It is his grave for which the explorer searches. His passing symbolises the new order, the development that now surrounds Arseniev. The explorer says he buried his friend three years ago, next to huge cedar and fir trees, but now they are all gone. The man on the wagon replies they were probable chopped down when the settlement was built, and he drives off. Arseniev walks to a barren, treeless spot next to a pile of bricks. As he moves, the camera tracks and pans to follow, revealing a line of freshly built houses and a woman hanging her laundry to dry. A distant train whistle is heard, and the sounds of construction in the clearing vie with the cries of birds and the rustle of wind in the trees. Arseniev pauses, looks around for the grave that once was, and murmurs desolately, "Dersu". The image now cuts farther into the past, to 1902, and the first section of the film commences, which describes Arseniev's meeting with Dersu and their friendship. Kurosawa defines the world of the film initially upon a void, a missing presence. The grave is gone, brushed aside by a world rushing into modernism, and now the hunter exists only in Arseniev's memories. The hallucinatory dreams and visions of Dodeskaden are succeeded by nostalgic, melancholy ruminations. Yet by exploring these ruminations, the film celebrates the timelessness of Dersu's wisdom. The first section of the film has two purposes: to describe the magnificence and inhuman vastness of nature and to delineate the code of ethics by which Dersu lives and which permits him to survive in these conditions. When Dersu first appears, the other soldiers treat him with condescension and laughter, but Arseniev watches him closely and does not share their derisive response. Unlike them, he is capable of immediately grasping Dersu's extraordinary qualities. In camp, Kurosawa frames Arseniev by himself, sitting on the other side of the fire from his soldiers. While they sleep or joke among themselves, he writes in his diary and Kurosawa cuts in several point-of-view shots from his perspective of trees that appear animated and sinister as the fire light dances across their gnarled, leafless outlines. This reflective dimension, this sensitivity to the spirituality of nature, distinguishes him from the others and forms the basis of his receptivity to Dersu and their friendship. It makes him a fit pupil for the hunter. 11. According to the author the section of the film following the prologue: 1. serves to highlight the difficulties that Dersu faces that eventually kills him. 2. shows the difference in thinking between Arseniev and Dersu. 3. shows the code by which Dersu lives that allows him to survive his surroundings. 4. serves to criticise the lack of understanding of nature in the pre-modern era. 12. Arseniev's search for Dersu's grave: 1. is part of the beginning of the film. 2. symbolises the end of the industrial society. 3. is misguided since the settlement is too new. 4. symbolises the rediscovery of modernity. 13. In the film, Kurosawa hints at Arseniev's reflective and sensitive nature: 1. by showing him as not being derisive towards Dersu, unlike other soldiers. 2. by showing him as being aloof from other soldiers. 3. through shots of Arseniev writing his diary, framed by trees. 4. all of the above 14. The film celebrates Dersu's wisdom: 1. by exhibiting the moral vacuum of the pre-modern world. 2. by turning him into a mythical figure. 3. through hallucinatory dreams and visions. 4. through Arseniev’s nostalgic, melancholy ruminations 15. How is Kurosawa able to show the erosion of Dersu’s way of life? 1. by documenting the ebb and flow of modernisation. 2. by going back farther and farther in time 3. by using three different time frames and shifting them. 4. through his death in a distant time. 16. According to the author, which of these statements about the film are correct? 1. The film makes its arguments circuitously. 2. The film highlights the insularity of Arseniev. 3. The film begins with the absence of its main protagonist. 4. None of the above. Fill in the blanks. 17. The Darwin who ___________ is most remarkable for the way in which he _________the attributes of the world class thinker and head of the household. 1. comes, figures 2. arises, adds 3. emerges, combines 4. appeared, combines 18. Since her face was free of __________ there was no way to __________ if she appreciated what had happened. 1. make-up, realise 2. expression, ascertain 3. emotion, diagnose 4. scars, understand Vocabulary: Pick out the most inappropriate usage of the given word. 19. Parsimonious: The evidence was constructed from very parsimonious scraps of information. 1. Frugal 2. Penurious 3. Thrifty 4. Altruistic Match the dictionary usage with the usage of the given word. 20. Relief Dictionary Definition usage A. Removal or lightening of something distressing E. A ceremony follows the relief of a sentry after the morning shift B. Aid in the form of necessities for the indigent F. It was a relief to take off the tight shoes. C. Diversion G. The only relief I get is by playing cards D. Release from the performance of duty H. Disaster relief was offered to the victims. Answer choices: 1. A F 2. A F 3. A H 4. A G B H B H B F B E C E C G C G C H D G D E D E D F |
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