q: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 7 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) 60
(D) 180
(E) 630
a: Stream of consciousness: 7C3 * 4C2 * 3C2 = 35*6*3 = 630. The answer is (E).

question: What is the are of an equilateral triangle of side 8 cm?
Options:
(A) 645
(B) 649
(C) 163
(D) 643
(E) 642
answer: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 8, Area of triangle = 3/4 * 8 * 8 = 163 cm2; The answer is (C).

q: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m
a: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m The answer is (D).

question: A 49 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 20
(C) 88
(D) 77
(E) 14
answer: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 49 = 14 The answer is (E).

q: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 45 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17 minutes
(B) 87 minutes
(C) 36 minutes
(D) 27 minutes
(E) 11 minutes
a: Stream of consciousness: 1/20 - 1/45 = 1/36
36 minutes The answer is (C).

q: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?
Options:
(A) 1/52
(B) 1/26
(C) 1/13
(D) 1/4
(E) 5/13
a:
Stream of consciousness: There are 13 spades, the probability that the spade we already have is an ace is therefore 1/13. The answer is (C).