CAT 2002QA Question 21

Remainder of a to the power n, divided by b.Easy

The remainder when 2256 is divided by 17 is

Answer & solution

  • A

    7

  • B

    13

  • C

    11

  • 1

Solution

24 = −1 (mod 17)

∴ (24)64 = [−1 (mod 17)]64 = (−1)64 = 1

Hence, option (d).

CAT 2002 QA Q21: The remainder when 2 256 is divided by 17 is — Solution | TheCATExam