Question

The product of $n$ positive numbers is unity. Their sum is.

• A. A positive integer
• B. Equal to $n + \frac { 1 } { n }$
• C. Divisible by $n$
• D. Never less than

Answer 1

Answer: (D)

Never less than

Answer 2

Given

∴

$= ( 1 ) ^ { \frac { 1 } { n } } = 1$

∴

∴ $x _ { 1 } + x _ { 2 } + x _ { 3 } + \ldots \ldots + x _ { n }$ can never be less than n.