Question

$\text{Find the value of}(66666{)}^2.$

• A. 222237776
• B. 4444355556
• C. 4444655556
• D. 445544554455

Answer 1

The correct option is B

4444355556

$\text{If there are n}\text{number of sixes, its square is given as :}\left(\right((n-1)\text{fours}\left)3\right((n-1)\text{fives}\left)6\right)$

$\text{As, the number of 6's in}(66666{)}^2\text{is}\text{five; therefore, using the above}\text{pattern,}$

$(66666{)}^2=(\left(\text{four fours}\right)3\left(\text{four fives}\right)6)=4444355556$