Reasoning: 10 * 170 = 1700
3 * 100 + 5 * 150 = 1050
1700 1050 = 650
Ans: (B)
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.170. Find the unknown rate of two towels?
Options:
(A) A) 400
(B) B) 650
(C) C) 500
(D) D) 550
(E) E) 600
Rationale: Let's assume that a is an even prime integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer.
The answer: (C)
Question: If a and b are unique prime integers, which of the following must be even?
Options:
(A) ab
(B) a2b
(C) 2a2b
(D) 2ab
(E) ab^2
Reasoning: The given information gives no indication regarding the comparison of x and y.
Ans: (D)
Question: A = 10% of x, B = 10% of y, C = 10% of x + 10% of y. On the basis of the above equalities, what is true in the following?
Options:
(A) A is equal to B
(B) A is greater than B
(C) B is greater than A
(D) Relation cannot be established between A and B
(E) None of these
Rationale: P(at least one blue) = 1 - P(0 blue) = 1 - 10/18*9/17 = 12/17.
The answer: (E)
Question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Options:
(A) 25/153
(B) 28/153
(C) 5/17
(D) E=4/9
(E) E=12/17
Reasoning: 2 persons can do work in 1 day = 1/8
First person can do work in 1 day = 1/24
Second person can do work in 1 day = 1/8-1/24 = 1/12
So Second person can finish work in 12 days
Ans: (B)
Question: 2 persons can finish a job in 8 days. First person alone can finish the work in 24 days. How many days does the second person take to finish the job?
Options:
(A) 10 days
(B) 12 days
(C) 14 days
(D) 16 days
(E) 18 days
Reasoning: 1 to 11 = 11 * 46 = 506
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 506 = 100
Ans: (C)
Question: The average of 11 results is 46, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 100
(D) 25
(E) 23