Question

When I asked Mr. Bose about his age he said My age is neither a perfect square nor a perfect cube. My age is either less than 50 years or more than 80 years. What is Mr. Bose's age if it is known that Mr. Bose always lies?

Answer 1

64 years

As mr.boss telling lies. he telling lie his age either lass than 50 years or more than 80 years. truth is his age between 50 years and 80 years.

And between 50 and 80 64 is only no which is perfect square and cube

Answer 2

The age of Mr. Bose is 64 years.

Step-by-step explanation:

In this question the most important point to note is that Mr. Bose always lies. This means that we need to reverse all the mathematical equations/inequalities that he told us.

This means that (i)His age is a perfect square AND a perfect cube.

(ii)His age is between 50 and 80 years.

The detailed explanation is given in the attached images.