If x and y are integers greater than 1, is x a multiple of y?
1. 3y^2 + 7y = x
2. x^2 - x is a multiple of y.
Answer is A.
1. 3y^2 + 7y = x
2. x^2 - x is a multiple of y.
Answer is A.
Statement 1: y^2 is y times y, therefore a multiple of y. Three times that (3y^2) will still be a multiple of y. Adding 7 more y will still make it a multiple of y, and that's what x equals . . . SUFFICIENT.ruthm_24 wrote:If x and y are integers greater than 1, is x a multiple of y?
1. 3y^2 + 7y = x
2. x^2 - x is a multiple of y.
Answer is A.
Statement 2: x (x-1) is a multiple of y, therefore x (x-1) = [a positive integer]*y. IF (and only if) you can divide both sides by (x-1) and be left with a positive integer coefficient of y (being left with x = [a positive integer]*y) is x a multiple of y. We don't know whether that's the case, so INSUFFICIENT.
