Question

The remainder when 2 ^2005 is divided by 9 is
A) 4
B) 6
C) 2​

Answer 1

Answer:

When a power of 2 is divided by 9, the remainder start repeating itsel after 2^6 means from 2^1 to 2^6 the remainder goes like, 2,4,8,7,5,1 and then from 2^7 it start repeating itself. so if we divide 86 by 6 it gives 2 as remainder that means only 2*2 left which give 4 as remainder for the question.

Answer 2

answer : c

334 complete cycles of 6 leaves 1/6 of cycle. for first remainder . 2