q: Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?
Options:
(A) AC/B
(B) (A+C) /B
(C) (A+B) /C
(D) AB/C
(E) (A-C) /B
a: Stream of consciousness: Since today's is Daniel's birthday, his age must be an integer. As per the question, let A = 12, B = 2, and C = 6. Plugging these into the answer choices, only C does not yield an integer. The answer is (C).

question: If 4 men can color 48 m long cloth in 2 days, then 6 men can color 36 m long cloth in
Options:
(A) 2 days
(B) 1 day
(C) 3 days
(D) 4 days
(E) 5 days
answer: Stream of consciousness: The length of cloth painted by one man in one day = 48 / 4 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 6 = 1 day. The answer is (B).

q: If f(x) = x^2/(x^5 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) 1/f(x)
(B) -f(x)
(C) 2/f(x)
(D) f(x)
(E) 3*f(x)
a: Stream of consciousness: If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x) The answer is (B).

question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/54
(B) 5/12
(C) 5/17
(D) 5/18
(E) 5/14
answer: Stream of consciousness: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12 The answer is (B).

q: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 5
a: Stream of consciousness: (30*30)/100 = 9%loss The answer is (A).

q: There are 23 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
a:
Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 23 + 28 - 12 = 39. The answer is (A).