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Q.

A number is an irrational if and only if its decimal representation is


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a

  Non terminating

b

  Non terminating and repeating

c

  Non terminating and non repeating

d

  Terminating 

answer is C.

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Detailed Solution

It is given an irrational number.
According to definition of irrational number,  if written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without recurring digits.
Hence, a number having non terminating and non-repeating decimal representation is an irrational number.
So, option 3 is correct.
 
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