Question

Which of the following will have $4$ at the unit's place?

• A. ${14}^2$
• B. ${62}^2$
• C. ${27}^2$
• D. ${35}^2$

Answer 1

The correct option is B

${62}^2$

Determine the unit's place at 4.

The explanation for the correct option:

Option (B): ${62}^2$

The unit place is the place just to the left of the decimal point in a number expressed in the Arabic system of writing numbers.

$\begin{array}{rcl}{62}^2& =& 62\times 62\\ & \Rightarrow & =3844\end{array}$

In digit $3844$ the unit digit is $\mathbf{4}$,

Hence, Option B is the correct option .

The explanation for incorrect options:

Option (A): ${14}^2$

$\begin{array}{rcl}{14}^2& =& 14\times 14\\ & \Rightarrow & =196\end{array}$

In digit $196$ the unit digit is $\mathbf{6}$, hence, it's wrong.

Option (C): ${27}^2$

$\begin{array}{rcl}{27}^2& =& 27\times 27\\ & \Rightarrow & =729\end{array}$

In digit $729$ the unit digit is $\mathbf{9}$, hence, it's wrong.

Option (D): ${35}^2$

$\begin{array}{rcl}{35}^2& =& 35\times 35\\ & \Rightarrow & =1225\end{array}$

In digit $1225$ the unit digit is $\mathbf{5}$, hence, it's wrong.

Hence, Option A ,Option C, option D are incorrect options

Hence, the correct option is “Option B”.