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Fractional Part Function

If a=1 and ...

Question

If $a = 1$ and $1 > b > 0$ , then which of the following statement is not true?

a = b

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b > a

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\frac{1}{b} > a

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\frac{1}{a} < b

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Solution

The correct option is D $\frac{1}{b} > a$
Since $b$ is a +ve fraction less than $1$ , therefore $\frac{1}{b}$ is a positive fraction greater than $1$ . Hence $\frac{1}{b} > a$

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