If x^3y^4z^5 0?

Question

If  x^3y^4z^5<0 , is  xyz>0 ?

(1)  y<0 
(2)  x<0

gmatophobia · Answer

Given x^3y^4z^5<0 Inference: y can be positive or y can be negative. We can't determine the sign of y. Either x is negative or z is negative, however both are NOT negative. Question xyz>0 Statement 1 y<0 As either x or z is negative, and this statement tells us that y is negative the product xyz will therefore be positive. To visualize this , let's take the below cases Case 1: x = -ve ; z = +ve ; y = -ve xyz = +ve Case 2: x = +ve ; z = -ve ; y = -ve xyz = +ve The statement is sufficient to answer the question "is xyz>0 ". Statement 2 x<0 Using statement 2, we can conclude that x = -ve and z = +ve. However we don't know the sign of y. Hence we cannot conclude whether xyz is positive. Option A

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

If x^3y^4z^5 < 0, is xyz > 0?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions