question: Find the mean proportional between 64 & 81?
Options:
(A) A) 59
(B) B) 61
(C) C) 63
(D) D) 72
(E) E) 67
answer: Stream of consciousness: Formula = √a×b
A = 64 and B = 81
√64×81 = 8 × 9 = 72 The answer is (D).


q: A train 460 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 87
(C) 48
(D) 21
(E) 14
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 460 + 140 = 600 m
Required time = 600 * 2/25 = 48 se The answer is (C).


question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?
Options:
(A) 220044
(B) 145778
(C) 220400
(D) 220014
(E) 220040
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220040 The answer is (E).


q: Two trains are moving at 90 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 42/5 sec
(B) 45/8 sec
(C) 40/6 sec
(D) 37/6 sec
(E) 42/4 sec
a: Stream of consciousness: 70 + 90 = 150 * 5/18 = 400/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/400 = 45/8 sec The answer is (B).


question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 32
(E) 34
answer: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (B).


question: A train 455 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 17 sec
(D) 39 sec
(E) 12 sec
answer:

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: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 455 * 2/35 = 39 sec The answer is (D).