Write True or false for a natural number $a$:If $a^2$ ends in $9$; then $a^3$ ends in $7$.

 Solution:

Given, $a^2$ ends in $9$.


Therefore, $a$ will end in $3$.

$\Rightarrow a^3=( 3)^3=27$, which ends in $7$.

Therefore, $a^3$ end in $7$.

Thus, the statement: "If $a^2$ ends in $9$; then $a^3$ ends in $7$."  is "True".

Updated on: 10-Oct-2022

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