Question

Write true $\left(T\right)$ or false $\left(F\right)$ for the following statements:
If $a^2$ ends in an even number of zeros, then $a^3$ ends in an odd number of zeros.

• A. True
• B. False

Answer 1

The correct option is B False

Consider $a=100$, then $a^2=10000$

i.e. $a$ ends with even $\left(2\right)$ numbers of zeroes, and $a^2=10000$ ends with even number of zeroes $\left(4\right)$ but $a^3=100,000$, which also ends with an even $\left(6\right)$ numbers of zeroes.

Hence, the given statement is false.

Therefore, option $B$ is correct.