Binomial Theorem And Its Simple Applications Question 98

Question: The remainder when $ 5^{4n} $ is divided by 13, is

Options:

A) 1

B) 8

C) 9

D) 10

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] For $ n=1;5^{4}=625=(624+1)=(48\times 13)+1, $ i.e., $ 5^{4} $ leaves 1 as remainder when divided by 13.