q: If f(x)=1/x and x is a natural number, what CANNOT be the answer for f(f(x))?
Options:
(A) 1/7
(B) 3
(C) 12/3
(D) 6/6
(E) 1
a: Stream of consciousness: Answer A is impossible because the invers of 1/x is x, and the only way to have something other than a natural number is to input something other than a natural number. With the specification that only natural numbers may be used 1/7 is not a possibility for f(f(x)) The answer is (A).

question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
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Options:
(A) 12
(B) 19
(C) 72
(D) 180
(E) 720
answer: Stream of consciousness: 4C3 * 4C2 * 3C2 = 4*6*3 = 72. The answer is (C).

q: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Options:
(A) 5/16
(B) 5/12
(C) 5/19
(D) 5/17
(E) 5/15
a: 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).

question: What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 645
(B) 649
(C) 644
(D) 643
(E) 642
answer: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 16, Area of triangle = 3/4 * 16 * 16 = 643 cm2; The answer is (D).

q: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 88 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches
a: Stream of consciousness: E 87 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 87 matches were played. The answer is (E).

q: Find the product of the localvalue and absolutevalue of 5 in 20568?
Options:
(A) 1000
(B) 2500
(C) 1200
(D) 5000
(E) 1600
a:
Stream of consciousness: Local value of 5 = 5 x 100 = 500
Place value of 5 = 5
There fore = 5 x 500 = 2500 The answer is (B).