As you requires I am here giving you sample question paper with answer for Karnataka Management Aptitude Test (KMAT) for admission in MCA program.

KMAT MCA exam: sample question paper

1.How many proper subsets of {1, 2, 3, 4, 5, 6, 7} contain the numbers 1 and 7?
(1) 7 (2) 31 (3) 32 (4) 62

2. Identify the wrong statement from the following:
(1) If A and B are two sets, then A – B = A  B (2) If A, B and C are sets, then (A – B) – C = (A – C) – (B – C) (3) If A and B are two sets, then BABA (4) If A, B and C are sets, then A B CC A B

3. A survey shows that 63% of the Americans like cheese where as 76% like apples. If x% of the Americans lie both cheese and apples, then we have
(1) x  39 (2) x ≤ 63 (3) 39 ≤ x ≤ 63 (4) None of these

4. Set A has 3 elements and set B has 4 elements. The number of injection that can be defined from A to B is
(1) 144 (2) 12 (3) 24 (4) 64 5. If (1 + x)n = a0 + a1x + a2 x2 +….an xn, then 1nn231201aa1......aa1aa1aa1 (1) !nnn (2) !n)1n(n (3) )!1n(n1n (4) !n)1n(n

6. India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of india getting at least 7 points is
(1) 0.8750 (2) 0.0875 (3) 0.0625 (4) 0.0250

7. A coin is tossed three times. The probabilities of getting head and tail alternatively is
(1) 111 (2) 32 (3) 43 (4) 41

8. One hundred identical coins, each with probability p of showing up a head, are tossed. If 0 < p < 1 and if the probability of heads on exactly 50 coins is equal to that of heads on exactly 51 coins then the value of p, is
(1) 21 (2) 10149 (3) 10150 (4) 10151

9. In a Poisson distribution if P[X = 3] = ]4X[P41then P[X = 5] = kP[X = 7] where k equals to
(1) 71 (2) 12821 (3) 21128 (4) 25621

10. The average marks per student in a class of 30 students were 45. On rechecking it was found that marks had been entered wrongly in two cases. After correction these marks were increased by 24 and 34 in the two cases. The correct average marks per student are
(1) 75 (2) 60 (3) 56 (4) 47

11. The value of ‘a’ for which the system of equations a3 x + (a + 1)3 y + (a + 2)3 z = 0 ax + (a +
1) y +(a + 2) z = 0 x + y + z = 0 has a non zero solution, is (1) 1 (2) 0 (3) –1 (4) none of these

12. The value of X4 + 9X3 + 35X2 – X + 4 for X = – 5 + 24is
(1) 0 (2) –160 (3) 160 (4) –164

13. If y = a log x + bx2 + x has its extremum value at x = – 1 and x = 2, then
(1) a = 2, b = –1 (2) a = – 2, b =21 (3) a = 2, b = –21 (4) a = 1, b = –21

14. If a, b, c are in A.P., p, q, r are in H.P. and ap, bq, cr in G.P., then prrpis equal to
(1) acca (2) acca (3) paqb (4) paqb

15. If a  p, b q, c r and rccbqbaap= 0, then the value of crrbqqappis
(1) 0 (2) 1 (3) –1 (4) 2

1. (2)
2. (*)
3. (3)
4. (3)
5. (2)
6. (2)
7. (4)
8. (4)
9. (2)
10. (4)
11. (3)
12. (2)
13. (3)
14. (2)
15. (4)