Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer: (E)
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2356
(B) 3454
(C) 4656
(D) 3456
(E) 5184
Reasoning: Sum of 15 even numbers = 15 * 16 = 240
Average = 240/15 = 16
Ans: (D)
Question: The average of first 15 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 16
(E) 14
Rationale: It's a simple geometry problem. Look at the diagram below:
The answer: (D)
Question: Efrida and Frazer who live 12 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(E) 11
Reasoning: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
Ans: (E)
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 4567
(B) 3435
(C) 5667
(D) 4567
(E) 5184
Rationale: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300
The answer: (C)
Question: Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Options:
(A) 387
(B) 736
(C) 300
(D) 345
(E) 635
Rationale: 45 + 31 = 76/15 = 1 (Remainder)
The answer: (D)

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.
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Question: A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
Options:
(A) 13
(B) 11
(C) 9
(D) 1
(E) 3