If x and y are positive integers, what is the remainder when x is divided by y ?
1) When x is divided by 2y, the remainder is 4.
2) when x+y is divided by y, the remainder is 4.
answ b
This is from the Kaplan 800 book and the only solution they give is by picking numbers. I know there's an algebraic way to get the answ, but it's not completely clear in my head. Can one of the experts clarify it?
I remember reading in one of the Manhattan guides that:
if: a/n gives a remainder of 2 and b/n gives a remainder of 3
then: (a+b)/n gives a remainder of 2+3
and: (a*b)/n gives a remainder of 2*3
Is that correct? If so then this could be a way of deducing that 2 is sufficient. I'm not sure how to be certain about 1 though.
1) When x is divided by 2y, the remainder is 4.
2) when x+y is divided by y, the remainder is 4.
answ b
This is from the Kaplan 800 book and the only solution they give is by picking numbers. I know there's an algebraic way to get the answ, but it's not completely clear in my head. Can one of the experts clarify it?
I remember reading in one of the Manhattan guides that:
if: a/n gives a remainder of 2 and b/n gives a remainder of 3
then: (a+b)/n gives a remainder of 2+3
and: (a*b)/n gives a remainder of 2*3
Is that correct? If so then this could be a way of deducing that 2 is sufficient. I'm not sure how to be certain about 1 though.
