Question

$(66666{)}^2=$

• A. 2 2 2 2 3 7 7 7 7 6
• B. 4 4 4 4 3 5 5 5 5 6
• C. 4 4 4 4 6 5 5 5 5 6
• D. 5 5 4 4 5 5 4 4 5 5

Answer 1

The correct option is B 4 4 4 4 3 5 5 5 5 6

$6^2$ = 36

${666}^2$ = 4 4 3 5 5 6

Using 3, 6, 9 pattern, if there are n number of 6s, its square is given as (((n-1) 4s) 3 ((n-1)5s) 6)

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

$(66666{)}^2$ = (four 4s-3-four 5s-6) = 4 4 4 4 3 5 5 5 5 6.