Question

Square of $113$ by Upsutra Yavadunam Tavadunam Vargecha Yojayet is :

• A. $34569$
• B. $12769$
• C. $54639$
• D. $34359$

Answer 1

The correct option is B $12769$

To find the square of $113$,

This is closer to $100$ (base of 10). Write it as $100+13$.

From this method, we can write,

$\frac{(113+13)}{{13}^2}$ i.e., $\frac{Number+deficiency}{deficienc{y}^2}$

$=\frac{126}{169}$

As we are using base $100$. Digit in hundred's place gets carryforwarded and added to $126$

ie., $(126+1)69=12769$

$12769$ is the square of $113$.