Assertion :133125 is a terminating decimal fraction. Reason: If q=2n⋅5m where n,m are non-negative integers, then pq is a terminating decimal fraction.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
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B
Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.
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C
Assertion is correct, but Reason is incorrect.
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D
Assertion is incorrect, but Reason is correct.
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Solution
The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. In a fraction, if the denominator is of the form 2n×5m then the fraction is always terminating. In case of 3125, it can be written as,
3125=20×55
So it is terminating and reason is the correct explanation to assertion.