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# Are x and y both positive? 1. 2x-2y = 1 2. x/y >1

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CEO
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Are x and y both positive? 1. 2x-2y = 1 2. x/y >1 [#permalink]

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30 Jul 2006, 21:03
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Are x and y both positive?

1. 2x-2y = 1
2. x/y >1
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

VP
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Re: DS: X and Y +ve [#permalink]

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30 Jul 2006, 21:13
ps_dahiya wrote:
Are x and y both positive?

1. 2x-2y = 1
2. x/y >1

C.

fromi, x and y can be anything.

from ii x and y both are either +ves or -ves. if they both are +ves, x>y. if they both are -ves, y>x.

from i and ii, x and y both are +ves. they are not -ves. if they are -ves and y>x, 2x-2y cannot be 1. so they both are +ves.

guys, after long time i am back. spare me.
CEO
Joined: 20 Nov 2005
Posts: 2898
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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30 Jul 2006, 21:55
CHEN wrote:
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.
.
.
.
C 100%

More important to others is why?
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
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Re: DS: X and Y +ve [#permalink]

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30 Jul 2006, 22:01
Combine S1 and S2.
if y>0
x>y>0
x-y = 1/2 tells that both are positive.

if y<0
x<y<0
x<y=> x-y<0 != 1/2
sufficient.

Thus, C
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SVP
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31 Jul 2006, 04:09
C

1) 2x-2y =1
x-y = 1/2

Hence x>y , but y can be -ve. hence not Suff

2) x/y > 1
Hence either x and y both are positive or both are negative. Not suff

Together

Suff.
CEO
Joined: 20 Nov 2005
Posts: 2898
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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Kudos [?]: 290 [0], given: 0

Re: DS: X and Y +ve [#permalink]

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31 Jul 2006, 07:25
Professor wrote:
ps_dahiya wrote:
Are x and y both positive?

1. 2x-2y = 1
2. x/y >1

C.

fromi, x and y can be anything.

from ii x and y both are either +ves or -ves. if they both are +ves, x>y. if they both are -ves, y>x.

from i and ii, x and y both are +ves. they are not -ves. if they are -ves and y>x, 2x-2y cannot be 1. so they both are +ves.

guys, after long time i am back. spare me.

Thanks.

Where the hell you were hiding???
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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31 Jul 2006, 16:08
The answer according to me is E

St1 and St2 are satsified if X=1,Y=1/2 i.e. X/Y>1 and X-Y=1/2

But if you choose X=-1/2,Y=-1 you still get X/Y>1 and X-Y=1/2

Am I doing something wrong here ?
VP
Joined: 29 Dec 2005
Posts: 1343
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Re: DS: X and Y +ve [#permalink]

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31 Jul 2006, 18:09
ps_dahiya wrote:
Professor wrote:
ps_dahiya wrote:
Are x and y both positive?

1. 2x-2y = 1
2. x/y >1

C.

fromi, x and y can be anything.

from ii x and y both are either +ves or -ves. if they both are +ves, x>y. if they both are -ves, y>x.

from i and ii, x and y both are +ves. they are not -ves. if they are -ves and y>x, 2x-2y cannot be 1. so they both are +ves.

guys, after long time i am back. spare me.

Thanks.

Where the hell you were hiding???

didn't you see me? i was just behind you!
Senior Manager
Joined: 14 Jul 2005
Posts: 402
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Kudos [?]: 28 [0], given: 0

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31 Jul 2006, 18:10
Oops .. I am wrong... X/Y < 1 for my second scenario... C it is.
Senior Manager
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31 Jul 2006, 18:12
gmatornot wrote:
The answer according to me is E

But if you choose X=-1/2,Y=-1 you still get X/Y>1 and X-Y=1/2
Am I doing something wrong here ?

X=-1/2,Y=-1 X/Y=1/2 < 1...
But S2 says X/Y > 1..
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The only thing that matters is what you believe.

31 Jul 2006, 18:12
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