Nik11 wrote:
ashikaverma13 wrote:
Bunuel wrote:
What is the remainder when \(\frac{(3^{84})}{26}\)
(A) 0
(B) 1
(C) 2
(D) 24
(E) 25
Hi Bunuel,
Will it be possible for you to provide an approach to this type of questions? or could you guide me to a post where you have already posted an explanation to such questions? I read the entire thread and I was unable to understand the approaches and frankly it seemed like a really time consuming approaches.
Kindly help,
thanks in advance!
For this type of questions for me the best approach is to use cycles. Even though sometimes could take you instead of 50 sec 1:50. This simply because is the only one among the 3 that you can apply in "many" others mid-high level problems, but just my tought.
3^1 when divided by has remainder equal to 26
3^2 9
3^3 1
3^4 3 probably cycle yet finished
3^5 9 I would be sufficiently sure and I wouldn't go ahead but your choice
so the pattern is 9, 1,
384 is divisible by 3 hence r =
3I want to ask to the experts what is the binomial method and if it worth to study it