Rationale: I will go with E (pending elements to match is 2^2*3^2*13^1 = 468
The answer: (E)
Question: If 2^4, 3^3, and 13^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 396
(E) 468
Reasoning: 20000(11/10)4 - 20000(6/5)2 = 482
Ans: (A)
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 887
(C) 299
(D) 277
(E) 200
Rationale: A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days
The answer: (B)
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 9 days
(B) 8 days
(C) 5 days
(D) 54 days
(E) 2 days
Reasoning: S = (120 + 60)/2 = 90 kmph
Ans: (C)
Question: The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
(A) 89 kmph
(B) 92 kmph
(C) 90 kmph
(D) 65 kmph
(E) 77 kmph
Rationale: 1/7:1/7:1/14 = 2:2:1
1/5*5600 = 1120
2240-1120 = 1120
The answer: (C)
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
Rationale: The length of cube Q = 1;
The length of cube P = 2;
The ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8.
The answer: (A)

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
Question: If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?
Options:
(A) 1/8
(B) 1/4
(C) 1/3
(D) 1/7
(E) 1/9