JEE Main On 8 April 2017 Question 1
Question: If $ {{(27)}^{999}} $ is divided by 7, then the remainder is: [JEE Online 08-04-2017]
Options:
A) 3
B) 1
C) 6
D) 2
Show Answer
Answer:
Correct Answer: C
Solution:
- $ \frac{{{(28-1)}^{999}}}{7}=\frac{28\lambda -1}{7} $
$ \Rightarrow \frac{28\lambda -7+1-1}{7}=\frac{7(4\lambda -1)+6}{7} $
$ \therefore $ Rem = 6
