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Fractional part function

Given two dis...

Question

Given two distinct non-zero whole numbers $a$ and $b$ , we have $a \div b = b \div a$

A

True

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B

False

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Solution

The correct option is B False
Let us assume that, $a = 2 a n d b = 3$ .
L.H.S $= 2 \div 3 = \frac{2}{3}$ . ( Based on equation $a \div b$ )
R.H.S $= 3 \div 2 = \frac{3}{2}$ ( Based on equation $b \div a$ )
Here, L.H.S is not equal to R.H.S.
Hence, the given statement is false.

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