question: The average of first 14 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 11
(E) 15
answer: Stream of consciousness: Sum of 14 even numbers = 14 * 15 = 210
Average = 210/14 = 15 The answer is (E).


q: Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 13 3/7 min
(E) 17 5/7 min
a: Stream of consciousness: 1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7 The answer is (D).


question: A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?
Options:
(A) 144
(B) 108
(C) 278
(D) 126
(E) 112
answer: Stream of consciousness: S = 400/10 * 18/5 = 144 kmph The answer is (A).


q: A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 84
(D) 188
(E) 211
a: Stream of consciousness: S = 140/6 * 18/5 = 84kmph The answer is (C).


question: A small company employs 5 men and 3 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Options:
(A)  1/14
(B)  1/7
(C)  2/7
(D) 1/2
(E)  3/7
answer: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C4
Two women = 3C2
Two Men = 5C2
P = (5C2 * 3C2)/8C2 = 3/7 hence The answer is (E).


question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 2
answer:
Stream of consciousness: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9 The answer is (A).