q: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 4
(D) 5
(E) 6
a: Stream of consciousness: If he draws any combination of 3 socks he will definitely have the matching pair of either colour. The answer is (A).

question: In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 5
(C) 9
(D) 4
(E) 7
answer: Stream of consciousness: T = 40/36 * 18/5 = 4 sec The answer is (D).

q: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 420 feet in circumference.After how many minutes are the three of them together again?
Options:
(A) 5 mins
(B) 10 mins
(C) 15 mins
(D) 3 mins
(E) 7 mins
a: Stream of consciousness: The time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 7 mins. The answer is (E).

question: Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^9
(B) 2^11
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10
answer: Stream of consciousness: Fix the third coin as H. The remaining 11 coins have 2^11 outcomes. The answer is (B).

q: Q is a set of nine distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 7
a: Stream of consciousness: 2 + 3 + 5 + 7 +11 + 13 + 17 + 23 + 29 = 100 ( sum is even)
Least number = 2 The answer is (A).

q: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2134
(B) 2245
(C) 3450
(D) 4500
(E) 5184
a:
Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).