Question

The cube of two digit number may be a three digit number
A. True
B. False
C. Ambiguous
D. Data insufficient

Answer 1

Hint – In order to solve this problem one needs to calculate the cube of the smallest two digit number and then one can determine the solution to this problem and get the right answer.

Complete answer:
As the smallest two digits number is 10 and cube of 10 = 10x10x10=1000 which is not a two digit number. Then how can the cube of two digit numbers greater than 10 can be a three digit number.

Cube of 2 digit number $ \geqslant $1000.

And 1000 is not a two digit number.

So, the correct answer is B.

Note – When you get to solve this problem then you always have to check the extreme condition that if the extreme condition is not true then the rest of the conditions cannot be true in these types of problems. Like here we have calculated the cube of 10 which is the smallest two digit number. Doing this will solve your problem.