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Question

The sum of any positive number and its reciprocal is always greater than or equal to

A
5
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B
2
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C
3
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D
4
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Solution

The correct option is B 2
Let the positive number be x.
So, its reciprocal will be 1x
We know that the arithmetic mean of two numbers is always greater than or equal to its geometric mean.
x+1x2x×1x
x+1x21
x+1x2
Thus, the sum of any positive number and its reciprocal is always greater than or equal to 2.
Hence, the correct answer is option (2).

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