Question

The numbers 7.478478.... and 1.101001000100001.....are

• A. Rational and irrational respectively
• B. Both rationals
• C. Both irrationals
• D. None of these

Answer 1

The correct option is A Rational and irrational respectively

In 7.478478....... we can see that after decimal the digits 478 are repeating itself again and again.

Hence it is a non-terminating and repeating decimal. Therefore it is a rational number.

In 1.101001000100001........ it is a non-terminating and non-repeating decimal.

Therefore it is an irrational number.

Hence option A is correct.