# The cube of a two digit number may be a three digit number. Enter 1 for true and 0 for false.

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Hint- to solve these types of questions, we will proceed by taking a two digit number and cubing it to see whether the number cube is a three digit number or not. Proceed with the smallest two digit number.

Complete step-by-step answer:

Let us take the example of the number $10$ , which is the smallest two digit number.

We have to check whether its cube is a three digit number or not. If its cube is greater than three digit number then the above statement is false. If its cube is equal to a three digit number then the above statement is true.

So, we take the cube of 10, we get

$ \Rightarrow {10^3} = 1000$

The cube of 10 is a four digit number.

Hence, the answer is false. We have to return 0 as our answer.

Note- To solve these types of questions, first take the smallest number, three conditions will arise. First result is less than the required number, so take the next number. Second number satisfies the given condition, so the given statement is true. Third number is greater than the given statement, that is it does not satisfy the statement.

Complete step-by-step answer:

Let us take the example of the number $10$ , which is the smallest two digit number.

We have to check whether its cube is a three digit number or not. If its cube is greater than three digit number then the above statement is false. If its cube is equal to a three digit number then the above statement is true.

So, we take the cube of 10, we get

$ \Rightarrow {10^3} = 1000$

The cube of 10 is a four digit number.

Hence, the answer is false. We have to return 0 as our answer.

Note- To solve these types of questions, first take the smallest number, three conditions will arise. First result is less than the required number, so take the next number. Second number satisfies the given condition, so the given statement is true. Third number is greater than the given statement, that is it does not satisfy the statement.

Last updated date: 29th Sep 2023

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