A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Options:
(A) 1/19
(B) 1/11
(C) 1/12
(D) 1/17
(E) 1/14
Answer and stream of consciousness: (C)
Stream of consciousness: A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/3;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12
B's 1 hour work = (7/12 + 1/2) = 1/12
B alone will take 12 hours to do the work.

How much 45% of 60 is greater than 35% of 40?
Options:
(A) 18
(B) 13
(C) 15
(D) 17
(E) 71
Answer and stream of consciousness: (B)
Stream of consciousness: (45/100) * 60 (35/100) * 40
27 - 14 = 13

John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 75%
Answer and stream of consciousness: (E)
Stream of consciousness: Increase = (30/40)*100 = 75%.

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. 86 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
Answer and stream of consciousness:
(D)
Stream of consciousness: D 85 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 85 matches were playe