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.