q: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 70, 10 kmph
(B) 35, 27 kmph
(C) 110, 10 kmph
(D) 45, 55 kmph
(E) 45, 65 kmph
a: Stream of consciousness: Speed of the boat in still water = (100+120)/2 = 110 kmph. Speed of the stream = (120-100)/2 = 10 kmph The answer is (C).

question: If n is an integer, then the least possible value of |8 - 9n| is?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 11
answer: Stream of consciousness: |8 - 9n| represents the distance between 8 and 9n on the number line. Now, the distance will be minimized when 9n, which is multiple of 9, is closest to 8. Multiple of 9 which is closest to 8 is 9 (for n = 1), so the least distance is 1: |8 - 9| = 1. The answer is (B).

q: What number comes next in the following number series? 12, 50, 202, 810, 3242, _____
Options:
(A) 12400
(B) 12800
(C) 12970
(D) 13015
(E) 16000
a: Stream of consciousness: 12
12 4 + 2 = 50
50 4 + 2 = 202
202 4 + 2 = 810
810 4 + 2 = 3242
3242 4 + 2 = 12970 The answer is (C).

question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 1680
(B) 1800
(C) 2000
(D) 2100
(E) 2300
answer: Stream of consciousness: 8p4 = 8 7 6 x 5 = 1680 The answer is (A).

q: A certain league has two divisions. The respective divisions had 7 and 9 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A) 30
(B) 31
(C) 34
(D) 36
(E) 38
a: Stream of consciousness: Overall, there can be 31 minuses. Tus, it is The answer is (B).

q: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Options:
(A) 128
(B) 150
(C) 882
(D) 272
(E) 121
a:
Stream of consciousness: 1/2 * 20(9 + 6) = 150 cm2 The answer is (B).