2017 · Q100
If the product of n positive numbers is unity, then their sum is
general-mental-abilityquantitative-aptitude
- Aa positive integer
- Bdivisible by n
- Cequal to n+1
- Dnever less than n
Explanation
By the AM–GM inequality, for n positive numbers with product 1 the arithmetic mean is at least 1, so their sum is at least n – it can never be less than n. Equality holds when all the numbers are 1; any deviation raises the sum above n. Hence (D).