What is the remainder when 72 times 82 is divided by 6 ........

Quantitative Aptitude ( CCS) Number System

What is the remainder when 7²×8² is divided by 6?

7²×8²=(7×8)²=56²

The number immediately before 56 that is divisible by 6 is 54.

Now, writing 56²

as (54+2)²

56²=(54+2)²=54²+2(2)(54)+2²

by the formula (a+b)²=a²+2ab+b²

=54[54+2(2)]+2²

=6×9[54+(2×2)]+4

here, the remainder is 4

Hence, option 2 is the correct answer.

Submit Error

if we do like (7-1)2*(8)2/6,,, i.e 98)2/6 ....64/6...remainder 4