Question

If $a^2$ends in $5,$then $a^3$ end in $25.$

State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

Verify the given statement

Given that if $a^2$ends in $5,$then $a^3$ end in $25.$

Case 1: Let $a$ be $35$

$\therefore a^2={\left(35\right)}^2=1225$

$a^3={\left(35\right)}^3=42875$

Here, $a^2$ends in$5,$ and$a^3$ do not end in $25$

Case 2: Let $a$ be $5$

$\therefore a^2={\left(5\right)}^2=25$

$a^3={\left(5\right)}^3=125$

Here, $a^2$ends in$5,$ and$a^3$ end in $25$

Considering the above two cases we can say that the given statement is not always true

Hence, the given statement is false.