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Re: If x and y are positive integers, is x a multiple of y?
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25 Mar 2017, 03:04

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4

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

Is \(\frac{x}{y}=integer\)?

(1) 2x is a multiple of y --> \(\frac{2x}{y}=integer\) --> \(\frac{x}{y}=\frac{integer}{2}\). If that integer is even then the answer will be YES but if that integer is odd then the answer will be NO (for example, consider x=2 and y=2 AND x=1 and y=2). Not sufficient.

(2) 2(y^2) + y = 2x --> divide by 2y: \(y + \frac{1}{2} = \frac{x}{y}\). Thus \(\frac{x}{y}=y+ \frac{1}{2}=integer+noninteger=noninteger\). Sufficient.

If x and y are positive integers, is x a multiple of y?
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24 Mar 2017, 19:58

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Omar7235 wrote:

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

(1) 2x is a multiple of y. (2) 2(y^2) + y = 2x

Answer must be B

(1) if x= 4 && y=2 then YES if x=3 && y=2 then NO

(2) y(2y+1)=2x two options (a) if y =odd then 2y+1 is odd then odd*odd never equals 2*odd

(2)y=even then 2y+1 =odd even*odd=even....satisfying lets opt some values if y=2 ,the least value ,then 2(y)*5(2y+1)= 2*5(x)...So we have x=5,y=2 for every y to be even , x must be odd it is not a multiple..

Re: If x and y are positive integers, is x a multiple of y?
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16 Aug 2018, 21:24

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