q: If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 189
(D) 168
(E) 122
a: Stream of consciousness: 14 m/s = 14 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 14 * 18/5 * 15/4 km = 189 km. The answer is (C).

question: Which one of the following is not a prime number?
Options:
(A) 31
(B) 61
(C) 71
(D) 73
(E) 91
answer: Stream of consciousness: 91 is divisible by 7. So, it is not a prime number. The answer is (D).

q: 85 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Options:
(A) 75
(B) 80
(C) 85
(D) 90
(E) 95
a: Stream of consciousness: Answer = A
Please refer diagram below
85 - 10 = 75 The answer is (A).

question: The average of seven numbers is 20. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 29
(C) 31
(D) 41
(E) 35
answer: Stream of consciousness: The total of seven numbers = 7X20 = 140
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (140 - 99 ) = 41 The answer is (D).

q: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.157. Find the unknown rate of two blankets?
Options:
(A) 420
(B) 550
(C) 490
(D) 450
(E) 520
a: Stream of consciousness: 10 * 157 = 1570
3 * 100 + 5 * 150 = 1050
1570 1050 = 520 The answer is (E).

q: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?
Options:
(A) (x + y) /z
(B) (y + z) /x
(C) yz/x
(D) (2y + 3z) /x
(E) (xy + z) /y
a:
Stream of consciousness: As per the question, let x = 2, y = 6, and z = 12. Plugging these into the answer choices, only A does not yield an integer. The answer is (A).