question: What is the probability of rolling a nine with two, fair, six-sided dice?
Options:
(A) 1/6
(B) 1/9
(C) 2/13
(D) 1/12
(E) 5/36
answer: Stream of consciousness: There are 4 ways to roll a nine: 3 and 6, 6 and 3, 4 and 5, 5 and 4 with two six-sided dice. There are 6 times 6 = 36 ways to roll two dice. The probability of rolling a 9 is thus 4/36 = 1/9. The answer is (B).

q: If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 3/2 %
(C) 21 3/7 %
(D) 22 1/2 %
(E) 22 1/2 %
a: Stream of consciousness: 9 = (1*42*R)/100
R = 21 3/7 % The answer is (C).

question: What is the difference between 62% of 150 nd 20% of 250.
Options:
(A) 16
(B) 17
(C) 43
(D) 19
(E) 20
answer: Stream of consciousness: (62/100) * 150 (20/100) * 250
93 - 50 = 43 The answer is (C).

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 A?
Options:
(A) 30229
(B) 3000
(C) 278
(D) 274
(E) 287
a: Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 The answer is (B).

question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?
Options:
(A) 5/18
(B) 1/6
(C) 1/4
(D) 1/9
(E) 2/6
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 5 days = 5 (1/18) = 5/18. The answer is (A).

question: A can do a piece of work in 14 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) 18
(B) 77
(C) 66
(D) 55
(E) 14
answer:
Stream of consciousness: 8/14 + 6/x = 1
X = 14 days The answer is (E).