Question

$\text{If}{11}^2=121,{101}^2=10201\text{find the square of 1001.}$

• A. 1002001
• B. 1002
• C. 100001
• D. 10021

Answer 1

The correct option is A 1002001

$\text{Given:}{11}^2=121,{101}^2=10201$
$\text{To find:}{1001}^2$

From the given pattern, we can see that the number of zeros in the LHS is counted and placed the same number of zeros between each one and two of RHS.

Here, there are 2 zeroes in between the ones in LHS.

$\therefore {1001}^2\text{= 1 followed by two zeroes, then 2 and}\text{again two zeroes and 1 at the units}\text{place.}\Rightarrow {1001}^2=1002001$