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If x < 0, is y > 0 ?
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26 Dec 2012, 04:50
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79% (01:01) correct 21% (01:10) wrong based on 1002 sessions
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If x < 0, is y > 0 ? (1) x/y < 0 (2) y  x > 0
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Re: If x < 0, is y > 0 ?
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26 Dec 2012, 04:53
If x < 0, is y > 0 ? (1) x/y < 0. This implies that x and y have opposite signs and since given that x is negative then y must be positive. Sufficient. (2) y  x > 0. This implies that y > x. So, y is greater than some negative number. Not sufficient to say whether y is positive. Not sufficient. Answer: A.
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Re: If x < 0, is y > 0 ?
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25 Oct 2015, 08:01
bumpbot wrote: 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. keeping in mind  which 2 set of numbers can we try on? 1 is 5(3)>0 = 8>0 2 is ?



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Re: If x < 0, is y > 0 ?
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25 Oct 2015, 08:13
paidlukkha wrote: bumpbot wrote: 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. keeping in mind  which 2 set of numbers can we try on? 1 is 5(3)>0 = 8>0 2 is ? For statement 2, you can try : Case 1: x=5 and y=3 Case 2, x=5 and y=10 The above 2 cases will give you 2 different answers to make statement 2 not sufficient.



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Re: If x < 0, is y > 0 ?
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30 May 2017, 22:36
Statement 1. If x is negative and x/y is positive, then y MUST be positive. Sufficient.
Statement 2. yx > 0 means that y>x. y is greater than a negative number, but then it could be negative as well as positive. Insufficient.
Hence A answer



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Re: If x < 0, is y > 0 ?
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12 Sep 2017, 00:00
Hi Bunnel,
My doubt is in statement 2.
yx > 0 implies y>x, so we cant tell from this if y is positive or negative..agreed.
But when u consider the complete statement yx > 0 for this to be true y has to be positive right and the statement is sufficient. whats wrong with this? Please explain..
Thanks in advance! Shinrai



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Re: If x < 0, is y > 0 ?
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12 Sep 2017, 00:03
shinrai15 wrote: Hi Bunnel,
My doubt is in statement 2.
yx > 0 implies y>x, so we cant tell from this if y is positive or negative..agreed.
But when u consider the complete statement yx > 0 for this to be true y has to be positive right and the statement is sufficient. whats wrong with this? Please explain..
Thanks in advance! Shinrai Why y has to be positive? For example, y = 1 and x = 2, y  x = 1  (2) = 1 + 2 = 1 > 0.
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Re: If x < 0, is y > 0 ?
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12 Sep 2017, 00:58
Walkabout wrote: If x < 0, is y > 0 ?
(1) x/y < 0 (2) y  x > 0 1) x/y <0 => x<0 and y>0 or x>0 y<0 which is not possible as x<0 so definite yes y>0 A/D 2) yx>0 y>x x=1 y=0.5 x=2 y=2 Insufficient A is the answer.
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Re: If x < 0, is y > 0 ?
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15 Oct 2017, 12:40
I am confused with statement 1)
x/y < 0 Y x < y Now we know that x is negative and y is greater than x but IMO it does not mean y has to be positive  I mean y can be negative and still greater than x.
Can someone explain where am I going wrong?



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If x < 0, is y > 0 ?
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15 Oct 2017, 21:14
santro789 wrote: I am confused with statement 1)
x/y < 0 Y x < y Now we know that x is negative and y is greater than x but IMO it does not mean y has to be positive  I mean y can be negative and still greater than x.
Can someone explain where am I going wrong? We cannot multiply x/y < 1 by y and write x < y because we don't know the sign of y. If y is positive, then yes, from x/y < 1, we can get x < y (keep the sign when multiplying by positive value) but if y is negative, then when we multiply by negative value, we should flip the sign and we'll get x > y (recall that we should flip the sign of an inequality if we multiply/divide it by negative value).. Never multiply (or reduce) an inequality by a variable (or the expression with a variable) if you don't know its sign.
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Re: If x < 0, is y > 0 ?
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16 Oct 2017, 02:18
Thanks Bunuel for the explanation.



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Re: If x < 0, is y > 0 ?
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16 Oct 2017, 02:26
santro789 wrote: I am confused with statement 1)
x/y < 0 Y x < y Now we know that x is negative and y is greater than x but IMO it does not mean y has to be positive  I mean y can be negative and still greater than x.
Can someone explain where am I going wrong? I just noticed that in the post above, I considered x/y < 1, not x/y < 0. Regarding x/y < 0. This means that x and y have opposite signs and since given that x is negative then y must be positive. Next, you cannot multiply this by y to get x < 0 for the same reason as explained in the post above.
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Re: If x < 0, is y > 0 ?
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26 Dec 2018, 10:00
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: If x < 0, is y > 0 ?
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