Home >> NUMBER THEORY PART 3 >> q10-remainders

Q10 REMAINDERS

What is the remainder when 4^96 is divided by 6?

  a. 0

  b. 2

  c. 3

  d. 4

You can solve this question by observing the pattern.

Remainder when 4 is divided by 6 = 4

Remainder when 42 (=16) is divided by 6 = 4

Remainder when 43 (=64) is divided by 6 = 4

Thus, any power of 4 when divided by 6 leaves a remainder of 4.

The correct option is D.

Write Here

Video Explanation

Share the solution with your mates: