a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is :
let x = 6 q + 3 . then , x 2 = ( 6 q + 3 ) 2 = 36 q 2 + 36 q + 9 = 6 ( 6 q 2 + 6 q + 1 ) + 3 . so , when 2 n is divided by 4 , remainder = 3 . answer : d
divide(multiply(6, 3), 6)