q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 27
(C) 26
(D) 29
(E) 21
a: Stream of consciousness: (60/100) * 50 (40/100) * 30
30 - 12 = 18 The answer is (A).

question: If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?
Options:
(A) $3500
(B) $5000
(C) $3150
(D) $7000
(E) $10000
answer: Stream of consciousness: Saving = (40-33)% of 45000 = 3150. The answer is (C).

q: Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?
Options:
(A) AC/B
(B) (A+C) /B
(C) (A+B) /C
(D) AB/C
(E) (A-C) /B
a: Stream of consciousness: Since today's is Daniel's birthday, his age must be an integer. As per the question, let A = 12, B = 2, and C = 6. Plugging these into the answer choices, only C does not yield an integer. The answer is (C).

question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/50
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
answer: Stream of consciousness: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 40/100 = 2/5
Three are independent;probability of rich and fair complexioned girl is:
(1/4) (1/5) (2/5) = 1/50 The answer is (A).

q: a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
a: Stream of consciousness: Total 4 members minimum required to serve only on one committee. The answer is (A).

q: Consider a quarter of a circle of radius 20. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
Options:
(A) 20*(sqr2 -1)
(B) 8*(sqr3 -1)
(C) 4*(sqr7 - 1)
(D) 12* (sqr7 -1)
(E) None of these
a:
Stream of consciousness: I got 20/(sqr2 +1) and just forgot to multiply by (sqr2 -1). The answer is (A).