GPL - CAT MBA Question | CAT | XAT | FMS | IIFT | SNAP | NMAT | CET | JMET

Company

217.

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
1). 1/4
3). 1/2
4). 1
5). Cannot be determined

last reply by CpjJwWHV • 13 years ago • asked in CAT

View Comments [2 Reply]

218.

[1]	Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can choose is (1) 60 (2) 75 (3) 45 (4) 90 (5) 72

[2]	Neelam rides her bicycle from her house at A to her club at C, via B taking the shortest path. Then the number of possible shortest paths that she can choose is (1) 1170 (2) 630 (3) 792 (4) 1200 (5) 936

asked in CAT

219.

The number of common terms in the two sequences 17, 21, 25, … , 417 and 16, 21, 26, … , 466 is
(1) 78
(2) 19
(3) 20
(4) 77
(5) 22

last reply by CpjJwWHV • 13 years ago • asked in CAT

View Comments [4 Reply]
220.

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 3 is a root of f(x) = 0.

[1] What is the other root of f(x) = 0?
(1) −7
(2) − 4
(3) 2
(4) 6
(5) cannot be determined
[2] What is the value of a + b + c?
(1) 9
(2) 14
(3) 13
(4) 37
(5) cannot be determined

asked in CAT

View Comments [0 Reply]
221.

A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?
(1) 2 ≤ x ≤ 6
(2) 5 ≤ x ≤ 8
(3) 9 ≤ x ≤ 12
(4) 11≤ x ≤ 14
(5) 13 ≤ x ≤ 18

last reply by CpjJwWHV • 14 years ago • asked in CAT

View Comments [2 Reply]