If $a$ and $b$ are positive integers, then the solution of the equation $a x = b$ has to be always ______.

zero

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positive

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negative

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one

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Solution

The correct option is B positive
If $a x = b$ , then $x = \frac{b}{a}$
Since, a and b are positive integers.
So, $\frac{b}{a}$ is also positive rational number.
Hence, the solution of the given equation has to be always positive.

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