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Question

The rational number between 14 and 13 is .
  1. 18
  2. 725
  3. 15


Solution

The correct option is B 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) The decimal expansion of 18 is 0.125 which does not lie between 0.25 and 0.333.... .

b) The decimal expansion of 725 is 0.28, so it lies between 14 and 13 .

c) The decimal expansion of 15 is 0.2, which does not lie between 0.25 and 0.333.... .

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