q: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/9
(B) 1/6
(C) 1/5
(D) 1/2
(E) 1/3
a: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 120 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 150 m
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).

q: A pipe can fill a cistern in 14 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 28
(D) 13
(E) 12
a: Stream of consciousness: 1/14 - 1/28 = 1/28
28 minutes The answer is (C).

question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
Options:
(A) 686
(B) 672
(C) 652
(D) 642
(E) 721
answer: Stream of consciousness: 8 * 87 = 696 10 = 686 The answer is (A).

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.154. Find the unknown rate of two blankets?
Options:
(A) 420
(B) 550
(C) 490
(D) 450
(E) 457
a: Stream of consciousness: 10 * 154 = 1540
3 * 100 + 5 * 150 = 1050
1540 1050 = 490 The answer is (C).

q: 1,2,4,7,_,16
Options:
(A) 11
(B) 9
(C) 10
(D) 12
(E) 13
a:
Stream of consciousness: Each new number is the same as the last number with the adder growing by 1. This would yield 11. The answer is (A).