q: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of C?
Options:
(A) 2250
(B) 3000
(C) 3018
(D) 3019
(E) 3012
a: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
75/247 * 7410 = 2250 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) 1/8
(B) 1/4
(C) 1/5
(D) 1/9
(E) 1/1
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 average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?
Options:
(A) 195
(B) 175
(C) 184
(D) 201
(E) 188
a: Stream of consciousness: The total of 21 numbers = 21X25 = 525
The total of first 10 and last 10 numbers is = 10 X 14+10 X 19 = 330
So, the middle number is (525 - 330 ) = 195 The answer is (A).

question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 56.67 mph
(C) 52 mph
(D) 64 mph
(E) 66.67 mph
answer: Stream of consciousness: Average Speed = Total distance/ Total time = (40 * 2 + 60 * 3)/(2 + 3) = 260/5 = 52 The answer is (C).

q: There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31
Options:
(A) 17
(B) 29
(C) 23
(D) 31
(E) 33
a: Stream of consciousness: (7429/12673) = 17/29 Fourth Number is 29 The answer is (B).

q: The edge of a cube is 3a cm. Find its surface?
Options:
(A) 64a2 cm2
(B) 54a2 cm2
(C) 84a2 cm2
(D) 24a2 cm2
(E) 34a2 cm2
a:
Stream of consciousness: 6a2 = 6 * 3a * 3a = 54a2 The answer is (B).