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) 5
(D) 8
(E) 9
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: A man rows his boat 90 km downstream and 5' km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 7 kmph
(B) 5 kmph
(C) 2 kmph
(D) 8 kmph
(E) 1 kmph
answer: Stream of consciousness: Speed downstream = d/t = 90/(3) = 30 kmph
Speed upstream = d/t = 51/(3) = 17 kmph
The speed of the stream = (30 - 17)/2 = 7 kmph The answer is (A).

q: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Options:
(A) 245000
(B) 367500
(C) 196000
(D) 171500
(E) None of these
a: Stream of consciousness: Number of females = 156800 10080 = 196000
\ Number of males = 78 196000 = 171500
\ Total population = 196000 + 171500 = 367500 The answer is (B).

question: If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 122
(D) 84
(E) 168
answer: Stream of consciousness: 12x = 16y = 28z
3x = 4y = 7z
3(4*7) = 4(3*7) = 7(3*4)
Addition = 28+21+12 = 61
Answer would be multiple of 61 which is 122 The answer is (C).

q: Ravi can do a piece of work in 50 days while Prakash can do it in 75 days. In how many days will they finish it together?
Options:
(A) 30 days
(B) 35 days
(C) 25 days
(D) 27 days
(E) 29 days
a: Stream of consciousness: 1/50 + 1/75 = 5/150
30/1 = 30 days The answer is (A).

q: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 750?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 15
a:
Stream of consciousness: 750 = 3*222 + (22*3) + 9*2
K weight of 600 = 3 +3+9 = 15 The answer is (E).