Question

Which number must be subtracted from 1786 to make it a perfect square?

• A. 20
• B. 24
• C. 22
• D. 26

Answer 1

The correct option is C

22

$\text{Given number = 1786}\text{By grouping the numbers, we get,}\overline{17}\overline{86}$

$\text{By using the division method, we get}$
$$\begin{array}{cc}& 42\\ 4& \overline{17}\overline{86}\\ & 16\\ 82& 186\\ & 164\\ & 22\end{array}$$

$\text{Remainder = 22.}$

$\text{Hence,}(1786-22)\text{is a perfect square.}$

Hence, 22 must be subtracted from 1786 to make it a perfect square.