q: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
Options:
(A) 276
(B) 299
(C) 322
(D) 345
(E) 355
a: Stream of consciousness: Clearly, the numbers are (23 * 13) and (23 * 14). Larger number = (23 * 14) = 322. The answer is (C).

question: Jerry covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
(A) 29 Kmph
(B) 15 Kmph
(C) 23 Kmph
(D) 22 Kmph
(E) 19 Kmph
answer: Stream of consciousness: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distance of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph The answer is (B).

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) 4
(B) 3
(C) 5
(D) 7
(E) 9
a: Stream of consciousness: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec = 3 mins The answer is (B).

question: Every year an amount increases by 1/6th of itself. How much will it be after two years if its present value is Rs.64000?
Options:
(A) 87111
(B) 81007
(C) 81008
(D) 81066
(E) 81022
answer: Stream of consciousness: 64000* 7/6 * 7/6 = 87111 The answer is (A).

q: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 112 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 70, 10 kmph
(B) 106, 6 kmph
(C) 50, 60 kmph
(D) 45, 55 kmph
(E) 45, 65 kmph
a: Stream of consciousness: Speed of the boat in still water = (100+112)/2 = 106 kmph. Speed of the stream = (100-112)/2 = 6 kmph The answer is (B).

q: A can do a piece of work in 15 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 11 6/7days
(B) 12 6/7days
(C) 13 6/7days
(D) 14 6/7days
(E) 15 6/7days
a:
Stream of consciousness: 8/15 + 6/x = 1
X = 12 6/7days The answer is (B).