Question

Write true $\left(T\right)$ or false $\left(F\right)$ for the following statements:
There is no perfect cube which ends in $4$

Answer 1

Step: State true or false

Given statement: There is no perfect cube which ends in $4$

Let us consider a number, $64$
Resolving $64$ into prime factors:
$64=\{2\times 2\times 2\}\times \{2\times 2\times 2\}$
i.e., $64=(4{)}^3$
Clearly, $64$ is a perfect cube of $4$ and it ends in $4.$

Hence, the given statement is false.