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Question

The product of n positive numbers is 1. Their sum is

A
a positive integer
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B
divisible by n
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C
equal to n+1n
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D
greater than or equal to n
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Solution

The correct option is D greater than or equal to n
Let the numbers be a1,..,an
For positive numbers,AMGM
a1+a2+.....+ann(a1.a2......an)1n=1
a1+a2+.....+ann
Hence, option D is correct.

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