question: What is the difference between 80% of 170 and 35% of 300.
Options:
(A) 30
(B) 29
(C) 37
(D) 36
(E) 31
answer: Stream of consciousness: (80/100) * 170 (35/100) * 300
136 - 105 = 31 The answer is (E).

q: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a green shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 22
(B) 42
(C) 52
(D) 62
(E) 71
a: Stream of consciousness: The correct answer should not take the form: 5x + 2. Hence, it is The answer is (E).

question: What is the greatest positive integer x such that 4^x is a factor of 64^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
answer: Stream of consciousness: 64^10 = (4^3)^10 = 4^30 The answer is (E).

q: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?
Options:
(A) 7
(B) 8
(C) 9
(D) 11
(E) 10
a: Stream of consciousness: The total of seven numbers = 7X9 = 63
The total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54
So, the middle number is (63 - 54 ) = 9 The answer is (C).

question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
Options:
(A) 6
(B) 8
(C) 12
(D) 15
(E) 20
answer: Stream of consciousness: 4/10+9/X = 1/x = 15
1/10+1/15 = 1/6 = 6 days The answer is (A).

question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 120 gallons
(D) 180 gallons
(E) 130 gallons
answer:
Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 3 gallonsVolume of whole = 3 * 40 = 120 gallons. The answer is (C).