Indian Institue of Management 2008 COMMON APTITUDE TEST (CAT ) - Question Paper

21. Which of the subsequent cannot be true?
(1) at lowest 2 horses finished before spotted
(2) Red finished last
(3) There were 3 horses ranging from black and spotted
(4) There were 3 horses ranging from white and red
(5) Grey came in second

22. Suppose, in addition, it is known that grey came in fourth. Then which of the subsequent cannot be true?
(1) spotted came in first
(2) Red finished last
(3) White came in second
(4) Black came in second
(5) There was 1 horse ranging from Black and white

23. Two circles, both of radii one cm, intersect such that the circumference of every 1 passes through the centre of the other. What is the are ( in sq cm) of the intersecting region?
(1) A/3 - v3/4 (2) 2A/3 +v3/2 (3) 4A/3 -v3/2 (4) 4A/3 + v3/2 (5) 2A/3 -v3/2

24. Rahim plans to drive from city A to station C at the speed of 70 km per hour, to catch a train arriving there from B. He must reach C at lowest 15 minutes before the arrival of the train. The train leaves B, located 500 km south of A, at 8:00 am and travels at a speed of 50 km per hour. It is known that C is located ranging from west and northwest of B, with BC at 600 to AB. Also C is located ranging from south and southwest of A with AC at 300 to AB. The recent time by which Rahim must leave A and still catch the train is nearest to
(1) 6:15am (2) 6:30am (3) 6:45am (4) 7:00am (5) 7:15am





25. Suppose, the seed of any positive integer n is described as follows:
Seed(n) = n, if n<10 = seed(s(n)), otherwise,
Where s(n) shows the sum of digits of n. For example, seed(7) = 7, seed(248) = seed(2+4+8) = seed(14) = seed(1+4) = seed(5) = five etc. How many positive integers n, such that n<500, will have seed(n) = 9?
(1) 39 (2) 72 (3) 81 (4) 108 (5) 55

part II

This part contains 25 ques..
Directions for ques. 26 to 28: ans the subsequent ques. based on the info provided below:

There are 100 employees in an organization across 5 department. The subsequent table provide the department – wise distribution of avg. age, avg. basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances.
Department Number of employees Average Age (years) Average Basic Pay (Rs.) Allowances (% of Basic Pay)

Earning:   Approval pending.