If n divided by 7 has a remainder of 2, what is the remainder when 2 times n is divided by 7?  Choose the correct option
A) 1  B) 2  C) 3  D) 4  E) 6
As per question =&gt; N=7P+2 for some integer p   hence 2N =&gt; 14Q + 4 =&gt; remainder =&gt; 4 for some integer Q   Alternatively =&gt; N=2 &gt; 2N=&gt; 4 =&gt;4 divided by 7 will leave a remainder 4   hence 4
<result>D</result>
If n divided by 7 has a remainder of 2, what is the remainder when 2 times n is divided by 7?