Dear readers,

This quiz consists of questions from
various past actual Cat papers. Leave your answers/ responses in the
comments section below and soon we’ll let you know the correct answers!

1. The integers 1, 2, …, 40 are written on
a blackboard. The following operation is then repeated 39 times: In each
repetition, any two numbers, say a and b, currently on the blackboard are
erased and a new number a + b – 1 is written. What will be the number left on
the board at the end?

(a) 820             (b)
821             (c) 781             (d) 819            

2. What are the last two digits of 7^(2008)?

(a) 21               (b)
61               (c) 01               (d) 41              

3. The number of common terms in the two sequences 17,
21, 25,…, 417 and 16, 21, 26,…, 466 is

(a) 78               (b)
19               (c) 20              (d) 77              

4. The number of ways in which the digits of the
number 125453752 can be arranged such that no two 5’s come together is:

(a) 9! * 3! * 2!                  (b) 7! * 3! * 2!                    (c) 6! * 2!                    (d) None of these

5. How many integers, greater than 999 but not greater
than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of
digits is allowed?

(a) 499             (b)
500             (c) 375             (d) 376           

6. Consider obtuse-angled triangles with sides 8 cm,
15 cm and x cm. If x is an integer, then how many such triangles exist?

(a) 5                 (b)
21               (c) 10              (d) 15              

7. What is the number of distinct terms in
the expansion of (a + b + c)^20?

(a) 231             (b)
253             (c) 242             (d) 210            

8. There are n players in an elimination
type singles tournament. How many matches must be played (or defaulted to
determine the winner).

(a) n + 1             (b) n -1                   (c) n – 2                   (d) n + 2

9. If -1 ≤  X ≤
2 and 1 ≤ Y ≤ 3, then least possible value of (2y – 3x)  is

(a) 0                    (b) -3                      (c) -4                         (d) -5

10. When n is divided by 4, the remainder is 3. What
is the remainder when 2n is divided by 4?

(a) 1                    (b) 2                (c) 3                   (d) 6

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