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Question
Which of the following is a rational number between 14 and 13
Options:
A .  0
B .  18
C .  725
D .  15
Answer: Option C
:
C
The decimal expansion of 14 is 0.25 and the decimal expansion of13 is 0.333...
Now comparing with the decimal expansion 0.25 and 0.333... with the options:
a) Clearly, 0 is out of therange.
b) The decimal expansionof 18 is 0.125which is also out of therange.
c) The decimal expansionof 725 is 0.28, so itlies between14and 13 .
d) The decimal expansionof 15 is 0.2, so it isout of therange.

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