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# If x + y = 20 and x < y, is x + y > u + v? (1) y + u +

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Manager
Joined: 04 Jan 2008
Posts: 117
If x + y = 20 and x < y, is x + y > u + v? (1) y + u + [#permalink]

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05 Sep 2008, 03:38
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If x + y = 20 and x < y, is x + y > u + v?
(1) y + u + v = 30
(2) u + v < 20
Manager
Joined: 20 May 2008
Posts: 55
Re: Zumit - DS - 001 [#permalink]

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05 Sep 2008, 06:54
Is the ans D. I'll explain if its correct.
SVP
Joined: 07 Nov 2007
Posts: 1765
Location: New York
Re: Zumit - DS - 001 [#permalink]

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05 Sep 2008, 08:20
dancinggeometry wrote:
If x + y = 20 and x < y, is x + y > u + v?
(1) y + u + v = 30
(2) u + v < 20

x + y = 20 and x<y
means y>10 and x<10

(1) y + u + v = 30
u+v =30-y < 20 (because y>10)
is x + y > u + v? Yes
suffcieint
(2) u + v < 20
is x + y > u + v? yes
suffcient

D
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VP
Joined: 21 Jul 2006
Posts: 1495
Re: Zumit - DS - 001 [#permalink]

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05 Sep 2008, 16:52
I got D with the same reasoning.
VP
Joined: 17 Jun 2008
Posts: 1328
Re: Zumit - DS - 001 [#permalink]

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05 Sep 2008, 21:29
dancinggeometry wrote:
If x + y = 20 and x < y, is x + y > u + v?
(1) y + u + v = 30
(2) u + v < 20

(1)y + u + v = 30 => y+u+v=x+y+10 =>u+v=x+10 =>
we know that x<10 since x<y hence u+v<20 => u+v<x+y SUFFI

(2) u+v<20 =>u+v<x+y SUFFI

IMO D
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Its Now Or Never

Manager
Joined: 04 Jan 2008
Posts: 117
Re: Zumit - DS - 001 [#permalink]

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05 Sep 2008, 21:40
The OA is B. I picked up this problem from 'Pearson Education GMAT ExamPREP' and solved it to get D. But it is B, according to this book. I thought I was missing some crucial concept but sure now that it's D. Thanks mates!!!
Re: Zumit - DS - 001   [#permalink] 05 Sep 2008, 21:40
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# If x + y = 20 and x < y, is x + y > u + v? (1) y + u +

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