Rationale: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300
The answer: (C)
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 277
(B) 266
(C) 300
(D) 767
(E) 211
Reasoning: Here both numbers are less than 100. So they are deficient of - 4 and - 3 compared with 100. So
Ans: (B)
Question: Find 96 97
Options:
(A) 91/198
(B) 91/12
(C) 91/13
(D) 91/10
(E) 91/11
Rationale: 14m - n = p
Add n to both sides:
14m = n + p
Add m to both sides:
15m = n + p + m
Now, divide both sides by 3
5m = (n + p + m)/3 = the average of n, p, and m
The answer: (C)
Question: If 14m n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m 1
(B) 4m
(C) 5m
(D) m/5
(E) 6m/5
Reasoning: Since the coin is a fair coin, every toss is independent of any other toss. Hence, the probability of appearance of tail on the fifth toss is = 1/2
Ans: (B)
Question: A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.
Options:
(A) 1/7
(B) 1/2
(C) 3/7
(D) 2/3
(E) 1/3
Rationale: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3
The answer: (B)
Question: Which of the following is not divisible by 3?
Options:
(A) 10,395
(B) 41,714
(C) 15,354
(D) 30,708
(E) 29,313
Rationale: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
7(B + G) = 7[(x/y) + (y/x)] = 7[(x2 + y2)/xy] > 7
The answer: (A)
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 7 (B + G) is ?
Options:
(A) more than 7
(B) Less than 3
(C) More than 3
(D) Less than 1/3
(E) none of these