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Is x positive?

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Is x positive?  [#permalink]

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New post 19 Aug 2015, 01:53
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Is x positive?

(1) \(xy^2z^3\) = 800

(2) \(xy^2z^4\) = 1600

Source : Aristotle Prep

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Re: Is x positive?  [#permalink]

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New post 19 Aug 2015, 03:45
Gnpth wrote:
Is x positive?

(1) \(xy^2z^3\) = 800

(2) \(xy^2z^4\) = 1600

Source : Aristotle Prep


Is x>0?

Per statement 1, sign of y >0 for all y but as the product \(xy^2z^3\) >0 ---> either x<0 and z<0 or x>0 or z>0. Thus we get a "yes" or "no" for is x>0. This statement is not sufficient.

Per statement 2, signs of y and z will not impact the equation given and as \(xy^2z^4\) > 0 ---> x >0. Thus this statement is sufficient to answer a "yes" for is x>0.

B is the correct answer.
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Is x positive?  [#permalink]

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New post 19 Aug 2015, 05:14
Gnpth wrote:
Is x positive?

(1) \(xy^2z^3\) = 800

(2) \(xy^2z^4\) = 1600

Source : Aristotle Prep


Ans : B

St 1: \(xy^2z^3\) = 800

All x,y,z can be positive
x & z both can be negative
Two possible cases. Hence not suff

St 2: \(xy^2z^4\) = 1600

\(y^2 >0 , z^4 >0\) , Thus x must also be >0 since their product is >0
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Re: Is x positive?  [#permalink]

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New post 16 Jul 2018, 06:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Is x positive? &nbs [#permalink] 16 Jul 2018, 06:01
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