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Question

# Let x be a rational number whose simplest form is expressed as pq, where p and q are co-prime integers and q≠0 and also, x is a terminating decimal, then q can be expressed in the form of _____________ (where m and n are non-negative integers).

A

2n5m

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B

3n7m

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C

11n1m

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D

2n3m

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Solution

## The correct option is A 2n5m Any real number which has a decimal expansion that terminates, can be expressed as a rational number whose denominator is a power of 10. Also, the only prime factors of 10 are 2 and 5. Example: 13125=1353=13×2353×23=104103=0.104 Therefore, the denominator should be in the form of 2n5m.

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