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Question

# Which of the following rational numbers has non terminating and repeating decimal expansion?

A
151600
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B
176
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C
238
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D
3550
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Solution

## The correct option is B 176A fraction can be expressed in the form terminating decimal if denominator can be expressed in the form of 2n×5m whee n amd m are integer.Here we see that denominator all option except B can be expressed in the given form.For example denominator of option A=1600=26×52 denominator of option C=8=23×50 denominator of option D=50=21×52But we can express 6 in above format so correct answer will be option B

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