Question

# Which of the following is a rational number between 14 and 13?

A

0

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B

18

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C

725

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D

15

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Solution

## The correct option is C 725 The decimal expansion of 14 is 0.25 and the decimal expansion of 13 is 0.333... Now comparing with the decimal expansion 0.25 and 0.333... with the options: a) Clearly, 0 is out of the range. b) The decimal expansion of 18 is 0.125 which is also out of the range. c) The decimal expansion of 725 is 0.28, so it lies between 14 and 13 . d) The decimal expansion of 15 is 0.2, so it is out of the range.

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