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IIM MBA Entrance Exam : Common Admission Test Question Paper CAT 2005

31 pages, 90 questions, 31 questions with responses, 32 total responses,

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CAT 2005 Examination duration: 2 hours SECTION I Sub-section I-A: Number of Questions = 10 Note: Questions 1 to 10 carry one mark each. Directions for Questions 1 to 5: Answer the questions independently of each other. 1. If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of (1) 0 (2) 1 (3) 69 (4) 35 2. A chemical plant has four tanks (A, B, C and D), each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows: From A to B @ 20 litres/minute From C to A @ 90 litres/minute From A to D @ 10 litres/minute From C to D @ 50 litres/minute From B to C @ 100 litres/minute From D to B @ 110 litres/minute Which tank gets emptied first and how long does it take (in minutes) to get empty after pumping starts? (1) A, 16.66 (2) C, 20 (3) D, 20 (4) D, 25 3. Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq. cm of the portion that is common to the two circles is (1) (2) (3) (4) 4. A jogging park has two identical circular tracks touching each other, and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the circles. Two friends, A and B, start jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track. A jog 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% Page 1 of 31

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