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

Then the 3rd customer also buys half the remaining amount plus half a kg of rice.
Thereafter, no rice is left in the shop. Which of the subsequent best defines the
value of x?

(1) 2=x=6 (2) 5=x=8 (3) 9=x=12 (4) 11=x=14 (5) 13=x=18



Directions for ques. 10 and 11:

Let f(x) = ax2+bx+c, where a,b and c are certain constants and a?0. It is known that f(5) = -3f(2) and that three is a root of f(x) =0

10. What is the other root of f(x) = 0?

(1) -7 (2) -4 (3) two (4) six (5) cannot be determined


11. What is the value of a+b+c?

(1)9 (2) 14 (3) 13 (4) 37 (5) cannot be determined





12. the number of common terms in the 2 sequences 17,21,25,….417 and 16, 21,
26,….. 466 is

(1) 78 (2) 19 (3) 20 (4) 77 (5) 22

13. Let f(x) be a function satisfying f(x)f(y) = f(xy) for all real x,y. If f(2) = 4, then
what is the value of f(1/2)?

(1) 0 (2) ¼ (3) ½ (4) one (5) cannot be determined.



14. If the roots of the formula x3-ax2+bx-c=0 are 3 consecurive integers, then
what is the smallest possible value of b?

(1) -1/v3 (2) -1 (3) 0 (4) one (5) 1/v3



Directions for ques. 15 and 16:

Mark (1) if Q can be answered from A alone but not from B alone.
Mark (2) if Q can be answered from B alone but not from A alone.
Mark (3) if Q can be answered from A alone as well as from B alone.
Mark (4) if Q can be answered from A and B together but not from any of them
alone.
Mark (5) if Q cannot be answered even from A and B together.

In a single elimination tournament, any player is eliminated with a single loss. The tournament is played in multiple rounds subject to the subsequent rules:

(a) if the number of players, say n, in any round is even, then the players are grouped in to n/2 pairs. The players in every pair play a match against every other and the winner moves on to the next round.

Earning:   Approval pending.