Cat 2005 Paper with Answers
MANAGEMENT
CAT 2005 EXAM
SOLVED PAPER
SECTION—I
Sub-section I-A Number of Questions: 10 Note: Questions 1 to 10 carry one mark each. Directions for questions 1 to 8: Answer the questions independently of each other. 1. If R = jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track. A jogs along the rectangular track, while B jogs along the two circular tracks in a figure of eight. Approximately, how much faster than A does B have to run, so that they take the same time to return to their starting point? (1) 3.88% (2) 4.22% (3) 4.44% (4) 4.72% 8. In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls, and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is: (1) 200 (2) 216 (3) 235 (4) 256 Directions for questions 9 and 10: Answer the questions on the basis of the information given below. Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9 : 45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. 9. At what time do Ram and Shyam first meet each other? (1) 10 a.m. (2) 10 : 10 a.m. (3) 10 : 20 a.m. (4) 10 : 30 a.m. 10. At what time does Shyam overtake Ram? (1) 10 : 20 a.m. (2) 10 : 30 a.m. (3) 10 : 40 a.m. (4) 10 : 50 a.m. Sub-section I-B Number of Questions: 20 Note: Questions 11 to 30 carry two marks each. Directions for questions 11 to 30: Answer the questions independently of each other. 11. Let x =
3065 – 2965 3064 + 2964
, then (2) 0.1 < R ≤ 0.5 (4) R > 1.0
(1) 0 < R ≤ 0.1 (3) 0.5 < R ≤ 10 .
2. What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm? (1) 1 or 7 (2) 2 or 14 (3) 3 or 21
CAT 2005 EXAM
SOLVED PAPER
SECTION—I
Sub-section I-A Number of Questions: 10 Note: Questions 1 to 10 carry one mark each. Directions for questions 1 to 8: Answer the questions independently of each other. 1. If R = jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track. A jogs along the rectangular track, while B jogs along the two circular tracks in a figure of eight. Approximately, how much faster than A does B have to run, so that they take the same time to return to their starting point? (1) 3.88% (2) 4.22% (3) 4.44% (4) 4.72% 8. In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls, and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is: (1) 200 (2) 216 (3) 235 (4) 256 Directions for questions 9 and 10: Answer the questions on the basis of the information given below. Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9 : 45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. 9. At what time do Ram and Shyam first meet each other? (1) 10 a.m. (2) 10 : 10 a.m. (3) 10 : 20 a.m. (4) 10 : 30 a.m. 10. At what time does Shyam overtake Ram? (1) 10 : 20 a.m. (2) 10 : 30 a.m. (3) 10 : 40 a.m. (4) 10 : 50 a.m. Sub-section I-B Number of Questions: 20 Note: Questions 11 to 30 carry two marks each. Directions for questions 11 to 30: Answer the questions independently of each other. 11. Let x =
3065 – 2965 3064 + 2964
, then (2) 0.1 < R ≤ 0.5 (4) R > 1.0
(1) 0 < R ≤ 0.1 (3) 0.5 < R ≤ 10 .
2. What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm? (1) 1 or 7 (2) 2 or 14 (3) 3 or 21