If n divided by 11 has a remainder of 1, what is the remainder when 5 times n is divided by 11?	Select the correct option
A) 1 B) 2 C) 3 D) 9 E) 5
As per question =&gt; N=11P+1 for some integer p   hence 5N =&gt; 55Q + 5 =&gt; remainder =&gt; 5 for some integer Q   hence 5
<result>E</result>
If n divided by 11 has a remainder of 1, what is the remainder when 5 times n is divided by 11?