q: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Options:
(A) 1/14
(B) 1/7
(C) 2/7
(D) 5/7
(E) 1/2
a: Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C3
Two women = 5C2
Two Men = 3C1
P = (5C2 * 3C1)/8C2 = 5/7 hence The answer is (D).

question: Company Z spent 1/4 of its revenues last year on marketing and 1/7 of the remainder on maintenance of its facilities. What fraction of last year's original revenues did company Z have left after its marketing and maintenance expenditures?
Options:
(A) 5/14
(B) 1/2
(C) 17/28
(D) 9/14
(E) 9/11
answer: Stream of consciousness: Total revenues = x
Spent on marketing = x/4
Remaining amount = x-x/4 = 3x/4
1/7 of the remainder on maintenance of its facilities = 3x/4*1/7 = 3x/28
Amount left = 3x/4-3x/28 = 9x/14 The answer is (D).

q: John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 100%
a: Stream of consciousness: Increase = (40/40)*100 = (1)*100 = 100%. The answer is (E).

question: Find the largest 6 digit number which is exactly divisible by 88?
Options:
(A) 998765
(B) 998907
(C) 999944
(D) 999954
(E) 999990
answer: Stream of consciousness: Largest 6 digit number is 999999
After doing 999999 88 we get remainder 55
Hence largest 6 digit number exactly divisible by 88 = 999999 - 55 = 999944 The answer is (C).

q: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/45
(B) 1/42
(C) 1/46
(D) 1/48
(E) 1/43
a: Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/8 = 1/42 The answer is (B).

q: Which of the following is equal to the average (arithmetic mean) of (x+5)^2 and (x-5)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2 +30
(D) x^2+20
(E) x^2+25
a:
Stream of consciousness: Avg = [(x+5)^2 + (x-5)^2] / 2
Expanding and simplifying, (x^2 + 10x + 25 + x^2 - 10x + 25) / 2 = x^2 + 25 The answer is (E).