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Question

A number having non-terminating and recurring decimal expansion is _____

A
An integer
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B
A rational number
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C
An irrational number
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D
A whole number
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Solution

The correct option is C A rational number
A number having non-terminating and recurring decimal expansion is a Rational Number

For example,

27 is a rational number

27=0.285714285714285714..........

or 27=0.¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯285714

The number has non-terminating decimal expansion but recurring after every 6 digits after decimal.

So, option B is correct.

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