If n divided by 11 has a remainder of 1, what is the remainder when 5 times n is divided by 11?  Choose the correct choice from the following answers:
A) 1	B) 2	C) 3	D) 9	E) 5

Rationale: "as per question = > n = 11 p + 1 for some integer p hence 5 n = > 55 q + 5 = > remainder = > 5 for some integer q hence e"
Answer: E