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Question

# Among the following, the terminating rational number is .

A
18
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B
113
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C
111
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Solution

## The correct option is A 18A decimal is terminating only when the denominators can be prime factored in the form of 2m×5n. If the denominator has any other prime factor, then the decimal becomes non-terminating and repeating. In 18,8 is equivalent to 23×50. Hence, it is terminating. In 113, 13 cannot be expressed in the form of 2m×5n. Hence, it is non terminating and repeating. In, 111,11 cannot be expressed in the form of 2m×5n. Hence, it is non terminating and repeating.

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