remainder question

by **Guest** Sat Oct 13, 2007 5:42 pm

Each of the following numbers has a remainder of 2 when divided by 11 except:
2
13
24
57
185

(A) 2 Ã· 11 has a quotient of 0 and a remainder of 2. - - Can you please explain this? Why does this have a remainder of 2?

by **Guest** Mon Oct 15, 2007 12:03 pm

When an integer x is divided by an integer y the result is an integer K (the quotient) and a remainder R.

The equation is therefore:
X/Y=K + R

To "reconstruct" X you multiply the K with the quotient and you add the remainder R, hence
2 = 0 (the quotient) *11 ("Y") + 2 (the remainder).

by **StaceyKoprince** Thu Oct 18, 2007 5:27 pm

Good explanation (second guest). This concept is a bit more rare on the test, but a good one to know if you are trying to get an exceptionally high score.