Question

Match the following with their values.

• A. 998000
• B. 443555
• C. 110890

Answer 1

The squares of numbers with only 3's follow a pattern that is decrease of unit digit by 1 and increase of tens digit by 1 and writing them over and over on to the left of the digits respectively,
$3^2=09$
${33}^2=1089$
${333}^2=110889$
$\text{So,}{333}^2+1=110890$
Similar pattern is followed by numbers with only 6's.
$6^2=36$
${66}^2=4356$
${666}^2=443556$
$\text{So,}{666}^2-1=443555$
Even the numbers with only 9's follow this pattern in their squares.
$9^2=81$
${99}^2=9801$
${999}^2=998001$
$\text{So,}{999}^2-1=998000$