Question

Which of the following will be the sum of n positive numbers, given that their product is unity?

• A. a positive integer
• B. divisible by n
• C.
• D. never less than n

Answer 1

The correct option is D

never less than n

Take 2 and $\frac{1}{2}$ as the two positive numbers whose product is unity. Here n=2, only option (c) and (d) is satisfied. The other two can never be true.

Take the 4 positive numbers as 1,1,1 and 1. Here n=4, option (c) is not true. Hence, answer is option (d).