q: If x is a positive odd integer and y is a negative even integer, which of the following must be true?
Options:
(A) x^3 + y is a positive odd integer
(B) x^2 + y^2 is a negative odd integer
(C) x^0 + y^11 is a negative odd integer
(D) x + y is a positive odd integer
(E) x + y is a negative odd integer
a: Stream of consciousness: Anything power 0 is always 1 and given that Y is even and negative, then
1 + (-2) will be negative with odd power values for Y. The answer is (C).

question: In digging a grave 200 m * 100 m * 3 m the volumes of the dirt to be extracted will be?
Options:
(A) 600 cu.m
(B) 12000 cu.m
(C) 6000 cu.m
(D) 60000 cu.m
(E) 4000 cu.m
answer: Stream of consciousness: 200 * 100 * 3 = 60000 The answer is (D).

q: 90 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 135
(D) 140
(E) 160
a: Stream of consciousness: Final number = Initial number + 50%(original number) = 90 + 50%(90) = 90 + 45 = 135. The answer is (C).

question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 46
(B) 82
(C) 45
(D) 43
(E) 53
answer: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46. The answer is (A).

q: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Options:
(A) 19
(B) 28
(C) 30
(D) 32
(E) 44
a: Stream of consciousness: Using Speed Formula: Speed = Distance / Time
Distance to be covered = 51-11 = 40
Speed of approach = 57 + 63 floors/min
Time = 40/120 = 1/3
So Steve will cover 57x 1/3 floors in that time = 19
So he will be in 19 + 11 floor = 30th Floor The answer is (C).

q: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company's founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/9
(B) q/5
(C) q/6
(D) q/7
(E) q/8
a:
Stream of consciousness: Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9 The answer is (A).