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# Is x > y? (1) x/z > y/z (2) x > 0 > z

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Senior Manager
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 381
GPA: 4
Is x > y? (1) x/z > y/z (2) x > 0 > z  [#permalink]

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26 Feb 2019, 08:07
00:00

Difficulty:

45% (medium)

Question Stats:

55% (01:22) correct 45% (01:14) wrong based on 33 sessions

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Is x > y?

(1) $$\frac{x}{z}$$ > $$\frac{y}{z}$$

(2) x > 0 > z

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Manager
Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
Re: Is x > y? (1) x/z > y/z (2) x > 0 > z  [#permalink]

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26 Feb 2019, 23:30
Statement 1 :
If z > 0 , then YES
If z < 0 , then NO
Hence insufficient
Statement 2 :
Insufficient

Combined Sufficient
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Senior Manager
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 381
GPA: 4
Is x > y? (1) x/z > y/z (2) x > 0 > z  [#permalink]

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27 Feb 2019, 06:14
This is how I did.
We need to find if x>y

Statement (1): $$\frac{x}{z}$$ > $$\frac{y}{z}$$

Case I: If z>0, $$\frac{3}{1}$$ > $$\frac{2}{1}$$ => x>y (3>2)...yes
Case II: If z<0, $$\frac{3}{-1}$$ > $$\frac{2}{-1}$$ => x<y (-3<-2)...no

Statement (2): x > 0 > z Clearly INSUFFICIENT.

(1)+(2)= x>0 and z<0, and plugging in the numbers as per this range in $$\frac{x}{z}$$ > $$\frac{y}{z}$$ will always give x<y, which is clearly NO. Hence, combined statements are SUFFICIENT.
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Is x > y? (1) x/z > y/z (2) x > 0 > z   [#permalink] 27 Feb 2019, 06:14
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