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Question

Product of n positive numbers is unity. The sum of these numbers can not be less than

A
1
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B
n
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C
n2
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D
None of these
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Solution

The correct option is B n
Let x1,x2,xn are n positive numbers such that

x1×x2××xn=1 ...(1)
Now, A.M.G.M.

So x1+x2+.....+xnn(x1×x2×........×xn)1/n

x1+x2+.....+xnn by (1)

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