question: A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.
Options:
(A) 1/7
(B) 1/2
(C) 3/7
(D) 2/3
(E) 1/3
answer: Stream of consciousness: Since the coin is a fair coin, every toss is independent of any other toss. Hence, the probability of appearance of tail on the fifth toss is = 1/2 The answer is (B).

q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
(A) Rs.8082
(B) Rs.7800
(C) Rs.8100
(D) Rs.8112
(E) none of these
a: Stream of consciousness: A = 7500(26/25)2 = 8112 The answer is (D).

question: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
(A) 5/5
(B) 5/9
(C) 5/1
(D) 1/3
(E) 5/2
answer: Stream of consciousness: Total number of outcomes possible when a die is rolled, n(S) = 6 ( 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
The probability = 2/6 = 1/3. The answer is (D).

q: A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph
a: Stream of consciousness: S = 160/6 * 18/5 = 96 kmph The answer is (A).

question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) Rs.345
(B) Rs.270
(C) Rs.275
(D) Rs.324
(E) Rs.325
answer: Stream of consciousness: I = (500*9*6)/100 = 270 The answer is (B).

question: Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together?
Options:
(A) 11 days
(B) 9 days
(C) 8 days
(D) 12 days
(E) 10 days
answer:
Stream of consciousness: 1/15 + 1/30 = 3/30
10/1 = 10 days The answer is (E).