Question

The cube of a two digit number may be a three digit number.

• A. True
• B. False
• C. Insufficient Data
• D. None of these

Answer 1

Answer: (B)

Multiplying a number with $n$ digits with a number with $m$ digits, will give another number with $m+n$ or less digits.

Then, the cube of a two digit number will clearly have more than three digits.

Eg. The smallest two digit number is $10$, whose cube is ${10}^3=1000$, which is a four digit number.

That is, the given statement is false.

Hence, option $B$ is correct.