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stubbornp
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PostPosted: Sat Oct 04, 2008 12:19 pm    Post subject: ds4 Reply with quote

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Morgoth
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PostPosted: Sun Oct 05, 2008 12:14 am    Post subject: Reply with quote

IMO C

We just have to find out if x and z both are positive or both are negative and is x> z

Statement (1)
z < x
z and x both could be positive and both could be negative. We dont know anything about y. Insufficient.

Statement (2)
y>0
x and z both are negative but we dont know if x>z or x<z. Insufficient.

Combining (1) & (2)

x and z both are negative, x>z. Sufficient.

Thus, C
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4meonly
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PostPosted: Sun Oct 05, 2008 1:03 am    Post subject: Reply with quote

I got A...
I am not sure, but i'll post. may be someone will find a flaw


Main: zy<xy<0

(1)
z<x, so to make zy<xy<0 right y should be positive
because if y will be negative and we will get zy>xy>0
z and x are negative
let z=-5, x=-3
|x-z|+|x|=|-3+5|+|-3|=5
|z|=|-5|=5
SUFF

(2)
y<0
yeah, I know it from (1) but what about z and y?
Insuff

A

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Morgoth
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PostPosted: Sun Oct 05, 2008 1:22 am    Post subject: Reply with quote

4meonly wrote:

Main: zy<xy<0

(1)
z<x, so to make zy<xy<0 right y should be positive
because if y will be negative and we will get zy>xy>0
z and x are negative
let z=-5, x=-3
|x-z|+|x|=|-3+5|+|-3|=5
|z|=|-5|=5
SUFF




You cant assume that y is positive,

what if y is negative, z and x are positive.

z<x
let x = 4
z = 2
|x-z|+|x|= lzl

l4-2l + l4l = l2l
2+4 is not equal to 2


Therefore, statement I is insufficient, because y could be positive as well as negative. We just know x>z.

Hope its clear. Let me know if you still have any doubts.
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4meonly
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PostPosted: Mon Oct 06, 2008 1:09 am    Post subject: Reply with quote

Morgoth wrote:

You cant assume that y is positive,

what if y is negative, z and x are positive.
z<x
let x = 4
z = 2
|x-z|+|x|= lzl
l4-2l + l4l = l2l
2+4 is not equal to 2
Therefore, statement I is insufficient, because y could be positive as well as negative. We just know x>z.
Hope its clear. Let me know if you still have any doubts.

But this will not satisfy main statement - zy<xy<0 if y<0

will be xy<zy but we have zy<xy<0, threfore y<0 from the 1st stem


What is OA?
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Morgoth
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PostPosted: Mon Oct 06, 2008 5:56 am    Post subject: Reply with quote

I made the most terrible mistake again.

I apologize to you "4meonly" I tried to reason with you, presented you with counter argument when it was in fact wrong and you were absolutely correct in your reasoning.

Here is the answer which I think should be correct.

Statement (1)
z<x
if zy < xy <0 , y has to be positive.

Therefore x and z are negative. all the negative numbers satisfy the above equation. Sufficient.

Statement (2)
y>0

if y is greater than 0, then z and x are negative, all negative numbers satisfy the above equation. Sufficient.

Thus, D.


I think this should be the answer. Let me know if anybody thinks otherwise.

Thanks "4meonly" for bringing this question, it has really helped me clear some doubts of my own.

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4meonly
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PostPosted: Mon Oct 06, 2008 6:52 am    Post subject: Reply with quote

Morgoth,
no problem. Your posts are helpful for me, too Very Happy

I agree with you that answer should be D Laughing Idea
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