Question

A positive integer in divided by 11 gives remainder 6 if 4m + 5 is divided by 11 the remainder is

Answer 1

Answer:

If m is divided by 7, the remainder is 4, that can be written as:

m=7x+4  for some integer x.

Then m+26 can be written as,

(7x+4)+26

⇒   7x+30

⇒   7x+7×4+2.

⇒  7(x+4)+2.

As you see, if the m +26 is divided by 7, then the (x+7) is factor and the remainder is 2.