    Question

# Which one of the following numbers is a non-terminating and repeating decimal?

A

3924

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B

4956

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C

7832

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D

311

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Solution

## The correct option is D 311 The decimal expansion of a rational number, pq is terminating If q is in the form of : 2m×5n,2m,5n 3924=13×38×3=138 The denominator of 138 is 8 which is 23 Thus, the decimal expansion of 3924 is terminating 4956=7×78×7=78 The denominator of 78 is 8 which is 23 Thus, the decimal expansion of 4956 is terminating 7832=39×216×2=3916 The denominator of 3916 is 16 which is 24 Thus, the decimal expansion of 7832 is terminating The denominator of 311 is 11 which is 111. Thus, the decimal expansion of 311 is recurring.  Suggest Corrections  0      Similar questions  Explore more