Question

$\begin{array}{cc}(Number{)}^2& Value\\ {11}^2& 121\\ {101}^2& 10201\\ {1001}^2& 1002001\\ {100001}^2& 10000200001\\ {10000001}^2& ?\end{array}$
By analyzing the pattern, find the missing number in the table.

• A. 100002000001
• B. 10000020000001
• C. 100000020000001
• D. 10000002000001

Answer 1

The correct option is C 100000020000001

$\begin{array}{cc}(Number{)}^2& Value\\ {11}^2& 121\\ {101}^2& 10201\\ {1001}^2& 1002001\\ {100001}^2& 10000200001\\ {10000001}^2& 100000020000001\end{array}$
The number of zeroes each to the left and right of the digit 2 in the squares is equal to the number of zeroes between the ones of the number being squared.