q: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Options:
(A)  1
(B)  2
(C)  46
(D)  50
(E)  97
a: Stream of consciousness: We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave. The answer is (B).


question: If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 3/2 %
(C) 21 3/7 %
(D) 22 1/2 %
(E) 22 1/2 %
answer: Stream of consciousness: 9 = (1*42*R)/100
R = 21 3/7 % The answer is (C).


q: Three grades of milk are 1 percent, 5 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 5 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 7 percent grade, what is x in terms of y and z?
Options:
(A) -1y - 2z
(B) (y +z)  / 4
(C) 2y + 3z
(D) 3y + z
(E) 3y + 4.5z
a: Stream of consciousness: Based on the given information, the following equation could be dervied: 1% * x + 5% * y + 3% * z = 7% * (x+y+z)
Then use algebra to figure out 6%*x = -2%*y - 4%*z. Thus, 3x = -1y - 2z. The answer is (A).


question: Last year, Company X made q dollars in profit. One thrid of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/4
(B) q/5
(C) q/8
(D) q/6
(E) q/7
answer: Stream of consciousness: Profit = q
Profit to company founder = q/3
Profit to other partners = 2q/3
Number of other partners = 4
Profit to each partner = (2q/3)/4 = q/6 The answer is (D).


q: The length R of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%
a: Stream of consciousness: Let the length R of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence The answer is (D).


q: What should come in place of the question mark (?) in the following equation?
9568 – 6548 – 1024 = ?
Options:
(A) 2086
(B) 1996
(C) 2293
(D) 1896
(E) None of these
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: ? = 9568 – 6548 – 1024 = 1996. The answer is (B).