[JEE Advanced 1991] the product of n positive numbers is unity then their sum is
The product of $n$ positive numbers is unity. Then their sum is
(a) a positive integer
(b) divisible by $n$
(c) equal to $n+\frac1n$
(d) never less than $n$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 3d ago
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Correct answer: (d) never less than $n$
By AM–GM, the sum $\ge n\,(\text{product})^{1/n}=n$, so it is never less than $n$.
JEE Advanced 1991 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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