Reasoning: 91 is divisible by 7. So, it is not a prime number.
Ans: (E)
Question: Which one of the following is not a prime number?
Options:
(A) 51
(B) 61
(C) 71
(D) 82
(E) 91
Rationale: Answer = C
Please refer diagram below
95 - 10 = 85
The answer: (C)
Question: 95 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Options:
(A) 75
(B) 80
(C) 85
(D) 90
(E) 95
Reasoning: P(B|A) = P(A B)/P(A)
P(B|A) = (16/15)/(8/15) = 2.
Ans: (D)
Question: If P(A) = 8/15, P(B) = 4/15, and P(A B) = 16/15 Find P(B|A)
Options:
(A) 1/2
(B) 2/3
(C) 3/2
(D) 2
(E) 4/7
Rationale: Total number of letters = 8
Using these letters the number of 8 letters words formed is P = 8!.
The answer: (B)
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Options:
(A) 7
(B) 8!
(C) 9
(D) 3
(E) 1
Reasoning: A perfect square will never end in 2, 3, 7 or 8. (last digit cannot be 2, 3, 7 or 8)
Here E is the odd one out.
Ans: (E)
Question: If x is a positive integer, which of the following could NOT be the square of x?
Options:
(A) 5,008,644
(B) 5,004,169
(C) 4,999,696
(D) 4,995,225
(E) 4,990,752
Reasoning: 1/6 1/15 = 1/10
B can do the work in 10 days
Ans: (D)
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Options:
(A) 7
(B) 13
(C) 19
(D) 10
(E) None