q: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 7 kmph
(B) 4 kmph
(C) 4 kmph
(D) 8 kmph
(E) 5 kmph
a: Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph The answer is (D).


question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 340 m long?
Options:
(A) 56 sec
(B) 42 sec
(C) 45 sec
(D) 48 sec
(E) 50 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 340 = 700 m
Required time = 700 * 2/25 = 56 sec The answer is (A).


q: The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?
Options:
(A) 17
(B) 35
(C) 20
(D) 32
(E) 21
a: Stream of consciousness: Age of B = Age of (A + B + C) â€“ Age of (A + C) = 25 Ã— 3 â€“ 29 Ã— 2 = 75 â€“ 58 = 17 years The answer is (A).


question: A man purchased 3 blankets @ Rs.200 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.150. Find the unknown rate of two blankets?
Options:
(A) 100
(B) 200
(C) 300
(D) 400
(E) 500
answer: Stream of consciousness: 10 * 150 = 1500
3 * 200 + 5 * 150 = 1350
1350 – 1050 = 300 The answer is (C).


q: A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph
a: Stream of consciousness: S = 160/6 * 18/5 = 96 kmph The answer is (A).


q: 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
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
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).