In Hockey game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Options:
(A) 1/3
(B) 4/9
(C) 5/9
(D) 2/3
(E) 3/4

In Hockey game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:
P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9. So the answer is: (C).

The distance between West-Town to East-Town is 10 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Options:
(A) 3.
(B) 8.
(C) 10.
(D) 12.
(E) 15.

Time taken by the birds to meet = 10/(4 + 1) = 2 mins
Distance traveled by the bird traveling from West-Town = 4 * 2 = 8 So the answer is: (B).

Which one of the following is not a prime number?
Options:
(A) 31
(B) 61
(C) 71
(D) 91
(E) 101

91 is divisible by 7. So, it is not a prime number. So the answer is: (D).

What should come in the place of the question mark(?) in the following equation?
2125 920 512 1017
Options:
(A) 7 77125
(B) 11 910
(C) 119450
(D) 1 2990
(E) None of these
? = 2125 209 512 1710 = 11990 = 12990 So the answer is: (D).