Question

What must be subtracted from 1729 to get a perfect square?

• A. 78
• B. 58
• C. 68
• D. 48

Answer 1

The correct option is D

48

$\text{Given number: 1729}\text{By grouping the given number, we get}\overline{17}\overline{29}.$

$\text{Applying the long division method:}$
$$\begin{array}{cc}& 41\\ 4& \overline{17}\overline{29}\\ & 16\\ 81& 129\\ & 81\\ & 48\end{array}$$

$\text{Here, the remainder is 48.}$
$\text{Hence, (1729 - 48) will be a perfect square.}$

$\text{So, 48 must be subtracted from 1729}\text{to get a perfect square.}$