If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7?
Choose the correct choice from the following answers:
A) 1
B) 2
C) 3
D) 5
E) 6
As per question =&gt; N=7P+1 for some integer p   hence 3N =&gt; 21Q + 3 =&gt; remainder =&gt; 6 for some integer Q   Alternatively =&gt; N=2 &gt; 3N=&gt; 3 =&gt; 3 divided by 7 will leave a remainder 3   hence 3
<result>C</result>
If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7?