CAT 1999 Question Paper


DIRECTIONS for the following questions: These questions are based on the situation given below: Rajiv reaches city B from city A in 4 hours, driving at the speed of 35 km per hour for the first 2 hours and at 45 km per hour for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 km per hour, covering an equal distance in each speed segment. The two cars are similar with petrol consumption characteristics (km per litre) shown in the figure below.


Question 51

The amount of petrol consumed by Aditi for the journey is

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Question 52

Zoheb would like to drive Aditi's car over the same route from A to B and minimize the petrol consumption for the trip. The amount of petrol required by him is

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DIRECTIONS for questions:

These questions are based on the situation given below:

Recently, Ghosh Babu spent his winter vacation on Kyakya Island. During the vacation, he visited the local casino where he came across a new card game. Two players, using a normal deck of 52 playing cards, play this game. One player is called the Dealer and the other is called the Player. First, the Player picks a card at random from the deck. This is called the base card. The amount in rupees equal to the face value of the base card is called the base amount. The face values of Ace, King, Queen and Jack are ten. For other cards, the face value is the number on the card. Once, the Player picks a card from the deck, the Dealer pays him the base amount. Then the dealer picks a card from the deck and this card is called the top card. If the top card is of the same suit as the base card, the Player pays twice the base amount to the Dealer. If the top card is of the same colour as the base card (but not the same suit) then the Player pays the base amount to the Dealer. If the top card happens to be of a different colour than the base card, the Dealer pays the base amount to the Player. Ghosh Babu played the game 4 times. First time he picked eight of clubs and the Dealer picked queen of clubs. Second time, he picked ten of hearts and the dealer picked two of spades. Next time, Ghosh Babu picked six of diamonds and the dealer picked ace of hearts. Lastly, he picked eight of spades and the dealer picked jack of spades. Answer the following questions based on these four games.

Question 53

If Ghosh Babu stopped playing the game when his gain would be maximized, the gain in Rs. would have been

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Question 54

The initial money Ghosh Babu had (before the beginning of the game sessions) was Rs. X. At no point did he have to borrow any money. What is the minimum possible value of X?

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Question 55

If the final amount of money that Ghosh Babu had with him was Rs. 100, what was the initial amount he had with him?

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For the following questions answer them individually

Question 56

A. In rejecting the functionalism in positivist organization theory, either wholly or partially, there is often a move towards a political model of organization theory.

B. Thus the analysis would shift to the power resources possessed by different groups in the organization and the way they use these resources in actual power plays to shape the organizational structure.

C. At the extreme, in one set of writings, the growth of administrators in the organization is held to be completely unrelated to the work to be done and to be caused totally by the political pursuit of self- interest.

D. The political model holds that individual interests are pursued in organizational life through the exercise of power and influence.

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Question 57

A. Group decision making, however, does not necessarily fully guard against arbitrariness and anarchy, for individual capriciousness can get substituted by collusion of group members.

B. Nature itself is an intricate system of checks and balances, meant to preserve the delicate balance between various environmental factors that affect our ecology.

C. In institutions also, there is a need to have in place a system of checks and balances which inhibits the concentration of power in only some individuals.

D. When human interventions alter this delicate balance, the outcomes have been seen to be disastrous.

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Question 58

A. He was bone-weary and soul-weary, and found himself muttering, "Either I can't manage this place, or it's unmanageable."

B. To his horror, he realized that he had become the victim of an amorphous, unwitting, unconscious conspiracy to immerse him in routine work that had no significance.

C. It was one of those nights in the office. when -the office clock was moving towards four in the morning and Bennis was still not through with the incredible mass of paper stacked before him.

D. He reached for his calendar and ran his eyes down each hour, half-hour, and quarter-hour, to see where his time had gone that day, the day before, the month before.

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Question 59

The following sentences when arranged in the proper order form a coherent paragraph. Find the correct order.

1. With that, I swallowed the shampoo, and obtained most realistic results almost on the spot.

2. The man shuffled away into the back regions to make up a prescription, and after a moment I got through on the shop-telephone to the Consulate, intimating my location.

3. Then, while the pharmacist was wrapping up a six-ounce bottle of the mixture, I groaned and inquired whether he could give me something for acute gastric cramp.

4. I intended to stage a sharp gastric attack, and entering an old-fashioned pharmacy, I asked for a popular shampoo mixture, consisting of olive oil and flaked soap.

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Question 60

A. Since then, intelligence tests have been mostly used to separate dull children in school from average or bright children, so that special education can be provided to the dull.

B. In other words, intelligence tests give us a norm for each age.

C. Intelligence is expressed as Intelligence quotient, and tests are developed to indicate what an average child of a certain age can do-what a 5-year-old can answer, but a 4year-old cannot, for instance.

D. Binet developed the first set of such tests in the early 1900s to find out which children in school needed special attention.

E. Intelligence can be measured by tests.

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