q: Find the simple interest on Rs.520 for 7 months at 8 paisa per month?
Options:
(A) 277
(B) 270
(C) 291
(D) 266
(E) 121
a: Stream of consciousness: I = (520*7*8)/100 = 291 The answer is (C).

question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?
Options:
(A) 1/3
(B) 1/6
(C) 1/4
(D) 1/8
(E) 1/5
answer: Stream of consciousness: Must be once on heads and twice on tails
1/2*1/2*1/2 = 1/8 The answer is (D).

q: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?
Options:
(A) 8
(B) 13
(C) 16
(D) 24
(E) 27
a: Stream of consciousness: A intersect B intersect C = 4
A intersect B but not C = 1
B intersect C but not A = 1
C intersec A but not B = 1
A only is 2; B only is 2; C only is 2
Therefore, total 13 members serve on one or more boards of directors. The answer is (B).

question: 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
answer: 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).

q: The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 50%
(B) 25%
(C) 35%
(D) 40%
(E) 45%
a: Stream of consciousness: Cost price of article = 48$
% of overhead cost = 25
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 25 = 50% The answer is (A).

q: A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
(A) 5/5
(B) 5/9
(C) 5/1
(D) 1/3
(E) 5/2
a:
Stream of consciousness: Total number of outcomes possible when a die is rolled, n(S) = 6 ( 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
The probability = 2/6 = 1/3. The answer is (D).