Indian Institue of Management 2008 Entrance Exams Other Entrance Exams CAT - Question Paper

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 avg. Age (years) avg. Basic Pay (Rs.) Allowances (% of Basic Pay)
HR five 45 5000 70
Marketing 30 35 6000 80
Finance 20 30 6500 60
Business Development 35 42 7500 75
Maintenance 10 35 5500 50

There are limited numbers of employees considered for transfer/promotion across departments. Whenever a person is transferred/promoted from a department of lower avg. age to a department of higher avg. age, he/she will get an additional allowance of 10% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher avg. age to a department with lower avg. age.
ques. beneath are independent of every other.


26. There was a mutual transfer of an employee ranging from Marketing and Finance
departments and transfer of 1 employee from Marketing to HR. As a result, the
avg. age of Finance department increased by 1 year and that of Marketing
department remained the identical. What is the new avg. age of HR department?

(1) 30 (2) 35 (3) 40 (4) 45 (5) cannot be determined


27. What is the approximate percentage change in the avg. gross pay of the HR

Earning:   Approval pending.