If xy z ? (1) xyz yz

Question

If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz Kudos for a correct solution .

peachfuzz · Answer

If xy < 0, is x/y > z ?
2 scenarios
x is neg and y is pos
x is pos and y is neg

(1) xyz < 0
x is neg, y pos, z pos
x is pos, y neg, z pos
Both scenarios make z larger than x/y
Sufficient

(2) x > yz
x is neg, y pos, z neg
X is pos, y negative, z pos
If z is neg the question is yes
If z is positive question is no
Insufficient

Answer: A

kunal555 · Answer

Since xy<0, x and y have opposite signs. And hence x/y is negative.

Statement 1:-
xyz<0
This is possible only when xy and z have opposite sign. We are already given that xy is negative. 
So, z must be positive. and hence our question is answered.(x/y is not greater than z)
SUFFICIENT

Statement 2:-
Doesn't provide any information about sign of z.
INSUFFICIENT

Answer:- A

Mo2men · Answer

If xy < 0, is x/y > z ?

From the prompt,

x & y have different signs

(1) xyz < 0

xy is negative ....so z must be positive..... answer to question is NO (negative value can't be greater than positive one).

Sufficient

(2) x > yz

Let x =negative value then y is positive value. So z is negative.

Divide by y

x/y>z

Let x =positive value then y is negative value. So z is either positive or negative.

Divide by y then flip sign

x/y<z

Insufficient

Answer: A

TheUltimateWinner · Answer

I'm just talking about the red part..
In the question stem: if xy<0, then
x-->(+)
y-->(-)

or,
x-->(-)
y-->(+)
If z is negative, the answer can't be YES always.
Here is test cases:
suppose,
x=-10
y=5
and z=-6
then, x/y>z?
-->-10/5>-6?
-->-2>-6?
--> YES
But, if 
x=-10
y=5
and z=-1,
then, x/y>z?
-->-10/5>-1?
-->-2>-1?
-->NO....
Am I right  Bunuel ?
Thank you brother...

sleepynut · Answer

If xy < 0, is x/y > z ?

(1) xyz < 0
(2) x > yz

From stmt (1) and xy < 0,we can conclude that z > 0.
Since x and y must have the opposite sign,x/y <0.Thus,x/y < z.SUFFICIENT

From stmt (2)
x > yz.It could be transform to x/y > z ONLY if y > 0.We don't know for sure that y must be > 0.INSUFFICIENT

Ans A

justgottamakeit1592 · Answer

Are there any links anyone can provide that can help me with a strategy to solve these type of questions?

Bunuel · Answer

9. Inequalities 
     Theory   
 Inequalities Made Easy! 
 Inequalities: Tips and hints 
 Arithmetic with Inequalities 
 Wavy Line Method Application - Complex Algebraic Inequalities 
 Solving Quadratic Inequalities: Graphic Approach 
 Inequalities - Quadratic Inequalities 
 Graphic approach to problems with inequalities 
 Inequalities trick 
 INEQUATIONS(Inequalities) Part 1 
 INEQUATIONS(Inequalities) Part 2 
     Questions   
 Inequality and absolute value questions from my collection 
 DS Questions 
 PS Questions

For more check  Ultimate GMAT Quantitative Megathread

Kinshook · Answer

Asked: If xy < 0, is x/y > z ? Q. x/y > z ? (1) xyz < 0 Since xy<0 z>0 x/y <0 & z>0 x/y yz (x-yz) >0 But y may be +ve or -ve NOT SUFFICIENT IMO A

bumpbot · Answer

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If xy < 0, is x/y > z ? (1) xyz < 0 (2) x > yz

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