q: A certain league has two divisions. The respective divisions had 11 and 13 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) 41
(B) 42
(C) 45
(D) 47
(E) 49
a: Stream of consciousness: Overall, there can be 47 minuses. Tus, it is The answer is (D).

question: If 14m n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m 1
(B) 4m
(C) 5m
(D) m/5
(E) 6m/5
answer: Stream of consciousness: 14m - n = p
Add n to both sides:
14m = n + p
Add m to both sides:
15m = n + p + m
Now, divide both sides by 3
5m = (n + p + m)/3 = the average of n, p, and m The answer is (C).

q: The difference between the local value and the face value of 7 in the numeral 32675149 is
Options:
(A) 69950
(B) 69993
(C) 69997
(D) 70000
(E) 01000
a: Stream of consciousness: (Local value of 7) - (Face value of 7) = (70000 - 7) = 69993 The answer is (B).

question: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 7890
(B) 8900
(C) 9944
(D) 9976
(E) 10000
answer: Stream of consciousness: Largest 4 digit number is 9999
After doing 9999 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944 The answer is (C).

q: What percent is 36 paisa's of 12 rupees?
Options:
(A) 2 %
(B) 3 %
(C) 4 %
(D) 5 %
(E) 6 %
a: Stream of consciousness: 12 Rupees = 1200 paisa's
36/1200 100 = 3/12
12/3 = 3 % The answer is (B).

q: The average of seven numbers is 4. The average of first three numbers is 2 and the average of last three numbers is 6. What is the middle number?
Options:
(A) 3
(B) 4
(C) 6
(D) 7
(E) 8
a:
Stream of consciousness: The total of seven numbers = 7X4 = 28
The total of first 3 and last 3 numbers is = 3 X 2+3 X 6 = 24
So, the middle number is (28 - 24 ) = 4 The answer is (B).