Quantitative Aptitude Ques 465
Question: The remainder when $ 17^{200} $ is divided by 18, is
Options:
A) 0
B) 1
C) 2
D) 3
Show Answer
Answer:
Correct Answer: B
Solution:
- We know that, $ (x^{m}-a^{m}) $ is divisible by $ (x+a) $ for even value of m.
$ \therefore $ $ (17^{200}-1^{200}) $ is divisible by $ (17+1) $ $ (17^{200}-1) $ is divisible by 18. When $ 17^{200} $ is divisible by 18, then the remainder is 1.
BETA
