question: 70 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 105
(D) 30
(E) 160
answer: Stream of consciousness: Final number = Initial number + 50%(original number) = 70 + 50%(70) = 70 + 35 = 105. The answer is (C).

q: A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 26%
(C) 45%
(D) 52%
(E) 56%
a: Stream of consciousness: (10/108)/(5/20) = 20/27 = 74% it means that 10/108 represents only 74%. Therefore a decrease of 26%. The answer is (B).

question: If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office.
Options:
(A) 12 hr
(B) 1 hr
(C) 34 hr
(D) 2 hrs
(E) None of these
answer: Stream of consciousness: If new speed is ab of original speed, then usual time (ba - 1) = change in time
usual time (43 - 1) = 13
usual time = 13 3 = 1 hr The answer is (B).

q: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3
(B) 4
(C) 5
(D) 8
(E) 9
a: Stream of consciousness: Speed in still water = (11 + 5)/2 kmph = 8 kmph. The answer is (D).

question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?
Options:
(A) They are both even numbers.
(B) At least one of them is even
(C) At least one of them is odd.
(D) They are both odd.
(E) Nothing can be said surly on A and B
answer: Stream of consciousness: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (A+1) or (B+1) needs to be Even
So either A or B needs to be odd
Or At Least one of them is odd. The answer is (C).

question: In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
answer:
Stream of consciousness: 7f/30 tells us that f is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).