Reasoning: Average of the first 'n' natural numbers = (n + 1)/2
We get (23 + 1)/2 = 12
Ans: (E)
Question: Find the average of the first 23 natural numbers?
Options:
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Rationale: Money paid in cash = Rs. 2500
Balance payment = (40000- 2500) = Rs. 37500.
The answer: (D)
Question: The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 2500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 29997
(B) 28088
(C) 27098
(D) 37500
(E) 2799
Reasoning: Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.
Ans: (B)
Question: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Options:
(A) 22
(B) 7
(C) 8
(D) 6
(E) 51
Rationale: Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;
The answer: (D)
Question: What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 64√5
(B) 64√9
(C) 64√4
(D) 64√3
(E) 64√2
Reasoning: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
Ans: (C)
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 26
(C) 40
(D) 42
(E) 49
Reasoning: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
Ans: (E)

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: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 4556
(B) 2354
(C) 4576
(D) 6768
(E) 5184