Reasoning: Divisibility rule of 8: Last three digits of the number should be divisible by 8
Option A: 10032, last three digits = 032. Divisible by 8
Option B: 21192, last three digits = 192. Divisible by 8
Option C: 47816, last three digits = 816. Divisible by 8
Option D: 91232, last three digits = 232. Divisible by 8
Option E: 72034, last three digits = 034. Not divisible by 8. Hence 72034 is not divisible by 8
Ans: (E)
Question: Which of the following is not divisible by 8?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72034
Rationale: Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).
The answer: (D)
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 87
(B) 15
(C) 17
(D) 19
(E) 16
Reasoning: 343^10 = (7^3)^10 = 7^30
Ans: (E)
Question: What is the greatest positive integer x such that 7^x is a factor of 343^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30
Rationale: T = 40/36 * 18/5 = 4 sec
The answer: (B)
Question: In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec
Reasoning: All others are equal except (C).
Ans: (B)
Question: Which of the following expressions are different in value?
(A) (2x + 3y)2
(B) (2x + y)2 + 8y(x + y)
(C) (2x y)2 8y(x + y)
(D) 22(x + y)2 + 4xy + 5y2
Options:
(A) A and B
(B) B and C only
(C) A, B and D only
(D) B and D only
(E) All are different
Reasoning: P = (P*30*R)/100
R = 3 1/3%
Ans: (A)
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 1/6%
(C) 3 1/5%
(D) 3 5/3%
(E) 7 1/3%