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If x and y are positive integers, is x a multiple of y? (1)

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by prab.sahi06 » Tue Jul 16, 2019 5:45 am
If x and y are positive integers, is x a multiple of y?

(1) y^2 + y is not a factor of x.
(2) x^3 + x is not a multiple of y.

Can someone please explain the faster and efficient approach to solve such problems!!
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by Gmatbuddy » Mon Jul 22, 2019 1:42 am
You can frame the question as
x = n"¢y ? where n is some integer.

(1) $$^{y^2+y}$$ is NOT a factor of x. Rephrase this as y(y+1) is NOT a factor of x.
Would this necessarily mean that y is Not a factor of x? Try numbers to see.

(2) This can be rephrased as x(x^2 + 1) is NOT a multiple of y. This is like saying x"¢m is not a multiple of y.
Would this necessarily mean that x is Not a multiple of y? Try numbers to see.
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