If n divided by 7 has a remainder of 2, what is the remainder when 6 times n is divided by 7?  Choose the correct choice from the following options.
A) 1  B) 2  C) 3  D) 5  E) 6
As per question =&gt; N=7P+2 for some integer p   hence 6N =&gt; 42Q + 12 =&gt; remainder =&gt;12 for some integer Q   Alternatively =&gt; N=2 &gt; 6N=&gt; 12 =&gt;12 divided by 7 will leave a remainder 5   hence 5
<result>D</result>
If n divided by 7 has a remainder of 2, what is the remainder when 6 times n is divided by 7?