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Answers for CAT 1998 Sets

Production and Transportation 1. c 2. b Cow in a field 1. d 2. a Seating Arrangement 1. a 2. c 3. b Coin Distribution 1. a 2. c 3. d Amar, Akbar and Anthony 1. a 2. b International Price Change 1. a 2. b Beauty contest 1. b 2. c 3. a 4. c Land Distribution 1. b 2. a 3. a 4. b 5. d

Land Distribution

(CAT 1998) Krishna distributed 10-acre land to Gopal and Ram who paid him the total amount in the ratio 2 : 3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon trees in the ratio 5 : 1 on equal areas of land. There were a total of 100 lemon trees. The cost of one coconut was Rs. 5. The crop took 7 years to mature and when the crop was reaped in 1997, the total revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue generated from the coconut and lemon trees was in the ratio 3 : 2 and it was shared equally by Gopal and Ram as the initial amount spent by them were equal. 1. What was the total output of coconuts? a. 24,000  b. 36,000  c. 18,000  d. 48,000 2. What was the value of output per acre of lemon trees planted? a. 0.24 lakh per acre  b. 2.4 lakh per acre  c. 24 lakh per acre  d. Cannot be determined 3. What was the amount received by Gopal in 1997? a. R...

Beauty contest

(CAT 1998) Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows: All of them were sitting in a row. All of them wore sarees of different colours, viz. green, yellow, white, red. There was only one runner-up and she was sitting beside Ms. Maharashtra. The runner-up was wearing the green saree. Ms West Bengal was not sitting at the ends and was not the runner up. The winner and the runner-up are not sitting adjacent to each other. Ms Maharashtra was wearing white saree. Ms Andhra Pradesh was not wearing the green saree. Participants wearing yellow saree and white saree were at the ends. 1. Who wore...

International Price Change

(CAT 1998) A company purchases components A and B from Germany and USA respectively. A and B form 30% and 50% of the total production cost. Current gain is 20%. Due to change in the international scenario, cost of the German mark increased by 30% and that of USA dollar increased by 22%. Due to market conditions, the selling price cannot be increased beyond 10%. 1. What is the maximum current gain possible? a. 10%  b. 12.5%  c. 0%  d. 7.5% 2. If the USA dollar becomes cheap by 12% over its original cost and the cost of German mark increased by 20%, what will be the gain? (The selling price is not altered.) a. 10%  b. 20%  c. 15%  d. 7.5% For Answers  click here .

Amar, Akbar and Anthony

(CAT 1998) Amar, Akbar and Anthony are three friends. Only three colors are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt. 1. If Akbar and Anthony wear the same color of shirts, then which of the following is not true? a. Amar wears blue and Akbar wears green b. Amar wears green and Akbar wears red c. Amar wears blue and Akbar does not wear blue d. Anthony wears red 2. If two of them wear the same color, then how many of the following must be false? I. Amar wears blue and Akbar does not wear green II. Amar does not wear blue and Akbar wears blue III. Amar does not wear blue and Akbar does not wear blue IV. Amar wears green, Akbar does not wear red, Anthony does not wear green a. None b. One c. Two d. Three For Answers  click here .

Coin Distribution

(CAT 1998) A, B, C and D collected one-rupee coins following the given pattern. Together they collected 100 coins. Each one of them collected even number of coins. Each one of them collected at least 10 coins. No two of them collected the same number of coins. 1. The maximum number of coins collected by any one of them cannot exceed a. 64  b. 36  c. 54  d. None of these 2. If A collected 54 coins, then the difference in the number of coins between the one who collected maximum number of coins and the one who collected the second highest number of coins must be at least a. 12  b. 24  c. 30  d. None of these 3. If A collected 54 coins and B collected two more coins than twice the number of coins collected by C, then the number of coins collected by B could be a. 28  b. 20  c. 26  d. 22 For Answers  click here .

Seating Arrangement

(CAT 1998) A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place. 1. Which of the following must be false? a. A is at the first place  b. A is at the second place c. A is at the third place  d. A is at the fourth place 2. If A is not at the third place, then which of the following options does C have? a. The first place only  b. The third place only c. The first and third place only  d. Any of the places 3. If A and B are together, then which of the following must be necessarily true? a. C is not at the first place  b. A is at the third place c. D is at the first place  d. C is at the first place For Answers  click here .

Cow in a field

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(CAT 1998) A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ΔABC. ∠BAC = 30° I(AB) = I(AC) = 10 m 1. What is the area that can be grazed by the cow if the length of the rope is 8 m? a. 134π 1/3 sq.m b. 121π sq. m c. 132π sq. m d. (176/3)π sq. m 2. What is the area that can be grazed by the cow if the length of the rope is 12 m? a. 133π 1/6 sq.m b. 121π sq. m c. 132π sq. m d. (176/3)π sq. m For Answers  click here .

Production and Transportation

(CAT 1998) Production pattern for number of units (in cubic feet) per day. Day                          1        2       3       4       5        6         7 Number of units   150   180    120    250   160    120     150 For a truck that can carry 2,000 cubic ft, hiring cost per day is Rs. 1,000. Storing cost per cubic feet is Rs. 5 per day. 1. If all the units should be sent to the market, then on which days should the trucks be hired to minimize the cost? a. 2nd, 4th, 6th, 7th b. 7th c. 2nd, 4th, 5th, 7th d. None of these 2. If the storage cost is reduced to Re 0.80 per cubic feet per day, then on which day(s), should the truck be hired? a. 4th b. 7th c. 4th and 7th d. None of these For Answers click her...