q: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 140 sec
(B) 160 sec
(C) 176 sec
(D) 150 sec
(E) 170 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 140 sec The answer is (A).

question: A car traveled from San Diego to San Francisco at an average speed of 51 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 34.
(C) 36.
(D) 42.
(E) 44.
answer: Stream of consciousness: Let the time taken be = x
One way distance = 51x
Total distance traveled = 2 * 51x = 102x
Total time taken = x + 2x = 3x
Average speed = 102x/3x = 34 The answer is (B).

q: The average of seven numbers is 15. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 6
(B) 29
(C) 31
(D) 34
(E) 35
a: Stream of consciousness: The total of seven numbers = 7X15 = 105
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (105 - 99 ) = 6 The answer is (A).

question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2560
(B) 3400
(C) 3690
(D) 4500
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

q: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 7!*3!
(B) 7!*2!
(C) 6!*3!
(D) 5!*2!
(E) 8!*3!
a: Stream of consciousness: Total number of ways = 7!*2!. The answer is (B).

q: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?
Options:
(A) 16.5
(B) 16.0
(C) 15
(D) 16.8
(E) 16.1
a:
Stream of consciousness: D = 110 + 140 = 250 m
S = 60 * 5/18 = 50/3
T = 250 * 3/50 = 15 se The answer is (C).