question: Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?
Options:
(A) 200
(B) 992
(C) 772
(D) 552
(E) 312
answer: Stream of consciousness: 1/2:1/2:1/4 = 2:2:1
1/5*1000 = 200
400-200 = 200 The answer is (A).


q: Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^9
(B) 2^11
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10
a: Stream of consciousness: Fix the third coin as H. The remaining 11 coins have 2^11 outcomes. The answer is (B).


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: The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Options:
(A) 4
(B) 3
(C) 5
(D) 8
(E) 2
a: Stream of consciousness: If the number is divisible by 9, it must also be divisible by 3. Only 3 yields such a number. The answer is (B).


question: Rs. 5600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/7:1/7:1/14?
Options:
(A) 300
(B) 992
(C) 1120
(D) 552
(E) 312
answer: Stream of consciousness: 1/7:1/7:1/14 = 2:2:1
1/5*5600 = 1120
2240-1120 = 1120 The answer is (C).


question: The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?
Options:
(A) 19
(B) 35
(C) 20
(D) 32
(E) 23
answer:

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: Age of B = Age of (A + B + C) â€“ Age of (A + C) = 29 Ã— 3 â€“ 32 Ã— 2 = 87 â€“ 64 = 23 years The answer is (E).