q: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 480, then the other is:
Options:
(A) 11
(B) 10
(C) 8
(D) 15
(E) 12
a: Stream of consciousness: Other number = (12 x 600)/480 = 15. The answer is (D).

question: Two trains are moving at 50 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) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 8/2 sec
(D) 7 1/9 sec
(E) 7 2/2 sec
answer: Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).

q: The total price of a kilogram each of Shimla apples and Red Delicious apples is 250 rupees more than the total price of a kilogram each of Red Delicious apples and Fuji apples. Fuji apples is how much cheaper than Shimla apples?
Options:
(A) 250
(B) 125
(C) 500
(D) 100
(E) 80
a: Stream of consciousness: (Shimla + Red Delicious) - (Red Delicious + Fuji) = 250
Shimla - Fuji = 250 The answer is (A).

question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
(A) 1/7
(B) 1/9
(C) 1/5
(D) 1/8
(E) 1/2
answer: Stream of consciousness: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5 The answer is (C).

q: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 22 kmph
(B) 40 kmph
(C) 20 kmph
(D) 15 kmph
(E) 23 kmph
a: Stream of consciousness: Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph The answer is (C).

q: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 1/6%
(C) 3 1/5%
(D) 3 5/3%
(E) 7 1/3%
a:
Stream of consciousness: P = (P*30*R)/100
R = 3 1/3% The answer is (A).