## Solution
Clearly, 31 is a prime number. So choice E is correct.
## What the question and answer could be
Which oif the following is a prime number?
Options:
(A) 45
(B) 39
(C) 27
(D) 33
(E) 31
(E)

## Solution
2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189
## What the question and answer could be
The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 4/189
(D) 1/96
(E) 1/68
(C)

## Solution
Number of mens = 8
Number of womens = 5
Different ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways
## What the question and answer could be
In how many different ways could couples be picked from 8 men and 5 women?
Options:
(A) 8
(B) 5
(C) 13
(D) 40
(E) 20
(D)

## Solution
3!4! Required probability = 3!4!/6! = 1/5
## What the question and answer could be

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
If six persons sit in a row, then the probability that three particular persons are always together is -.
Options:
(A) 1/5
(B) 1/7
(C) 1/9
(D) 1/2
(E) 2/7
(A)