q: Find the mean proportional between 36 & 49?
Options:
(A) A) 42
(B) B) 61
(C) C) 63
(D) D) 65
(E) E) 67
a: Formula = √a×b
A = 36 and B = 49
√36×49 = 6 × 7 = 42 The answer is (A).
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q: A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 6 min
(D) 9 min
(E) 5 min
a: S = 600/60 = 10 mps
S = 3600/10 = 360 sec = 6 min The answer is (C).
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q: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
(A) 5 mins
(B) 3 mins
(C) 7 mins
(D) 9 mins
(E) 2 mins
a: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec = 3 mins The answer is (B).
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q: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Options:
(A) Two
(B) Five
(C) Six
(D) Four
(E) One
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
Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2 The answer is (A).
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