q: There are 5person 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) 4!*2!
(B) 2!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!
a: Stream of consciousness: Total number of ways = 2!*2!. The answer is (B).

question: There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 42 + 28 - 12 = 58. The answer is (D).

q: The length of a rectangle is increased by 45% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 1299
(C) 1000
(D) 10000
(E) 11600
a: Stream of consciousness: 100 * 100 = 10000
145 * 80 = 11600 The answer is (E).

question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 48 kmph
(B) 52 kmph
(C) 108 kmph
(D) 100 kmph
(E) 98 kmph
answer: Stream of consciousness: S = 180/6 * 18/5 = 108 kmph The answer is (C).

q: At what rate percent on simple interest will a sum of money double itself in 60 years?
Options:
(A) 3 1/3%
(B) 3 1/9%
(C) 1 2/3%
(D) 3 2/3%
(E) 3 6/3%
a: Stream of consciousness: P = (P*60*R)/100
R = 1 2/3% The answer is (C).

q: Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations?
Options:
(A) 88%
(B) 78%
(C) 98%
(D) Cannot be determined
(E) None of these
a:
Stream of consciousness: Since the weight age of eighth examination is not known, hence can not be determine The answer is (D).