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# If xy>0, which of the following must be positive?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5600
GMAT 1: 800 Q59 V59
GPA: 3.82
If xy>0, which of the following must be positive? [#permalink]

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14 Apr 2017, 07:39
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Difficulty:

5% (low)

Question Stats:

98% (00:30) correct 2% (01:55) wrong based on 45 sessions

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If xy>0, which of the following must be positive?

A. $$x$$
B. $$y$$
C. $$x^2y$$
D. $$y^2x$$
E. $$x^3y$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 18 Jan 2017 Posts: 84 Location: India Concentration: Finance, Economics GMAT 1: 700 Q50 V34 Re: If xy>0, which of the following must be positive? [#permalink] ### Show Tags 14 Apr 2017, 08:05 xy>0, implies both x and y are of the same sign Only option E satisfies, remaining are dependent on sign of x,y x^3y is positive provided both x and y are of the same sign Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5600 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: If xy>0, which of the following must be positive? [#permalink] ### Show Tags 16 Apr 2017, 18:30 ==> Squares are always positive, so the inequality sign doesn’t change even if you multiply or divide. Thus, from xy>0 and $$(x^2)xy>(x^2)0$$, you get $$x^3y>0$$. The answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: If xy>0, which of the following must be positive?   [#permalink] 16 Apr 2017, 18:30
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