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Here is the exam paper

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is
(a) A function
(b) Transitive
(c) Not symmetric
(d) Reflexive

The probability that the same number appear on throwing three
dice simultaneously, is
(a) 1/36
(b) 5/36
(c) 1/6
(d) 4/13

Number of solutions of y = ex and y = sin x is
(a) 0
(b) 1
(c) 2
(d) infinite

A coin is tossed n times. The probability of getting head at least
once is greater than 0.8, then the least value of n is
(a) 2
(b) 3
(c) 5
(d) 4

For all complex numbers z1, z2 satisfying |z1| = 12 and | z2 - 3 –
4|1 = 5, the minimum value of | z1 - z2| is
(a) 4
(b) 3
(c) 1
(d) 2

49n + 16n - 1 is divisible by
(a) 3
(b) 29
(c) 19
(d) 64

The minimum value of 2x + 3y, when xy = 6, is
(a) 9
(b) 12
(c) 8
(d) 6




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