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Data Sufficiency

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Manager
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Joined: 21 Feb 2009
Posts: 108

Kudos [?]: 97 [0], given: 4

Data Sufficiency [#permalink]

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New post 14 Mar 2009, 16:34
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Kudos [?]: 97 [0], given: 4

Director
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Joined: 01 Apr 2008
Posts: 873

Kudos [?]: 844 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: Data Sufficiency [#permalink]

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New post 15 Mar 2009, 03:17
Should be E. wat is OA?

From 1) , 2(x-y) = 1 => x-y = 1/2 => x and y have the same sign.

From 2) x and y have the same sign.

Combined, we can be sure that x and y are both positive or negative.

Kudos [?]: 844 [0], given: 18

Manager
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Joined: 21 Feb 2009
Posts: 108

Kudos [?]: 97 [0], given: 4

Re: Data Sufficiency [#permalink]

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New post 15 Mar 2009, 03:40
From 1) , 2(x-y) = 1 => x-y = 1/2 => x and y have the same sign.

From this how did you come to conclusion that x and y have same sign??
Please explain.

This question is from GMATPrep.I also marked E but correct answer is C (Both statements together are sufficient)

Kudos [?]: 97 [0], given: 4

Director
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Posts: 873

Kudos [?]: 844 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: Data Sufficiency [#permalink]

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New post 15 Mar 2009, 04:43
sorry dude..i plugged in some wrong numbers..yes we cant say anything from x-y = 1/2..
I have the following explanation for C..
1) x-y=1/2
2) x/y >1 => x and y have same sign and magnitude of x is greater than magnitude of y ( for x/y to be greater than 1)

So, if we consider both x and y to be positive then,
some positive - some positive = 1/2 ( some positive) => possible

if we consider both x and y to be negative then,
(negative with higher magnitude) - (negative with lower magnitude) cannot give a positive number (1/2)... eg. -6 - (-3) will always give a negative number

hence, both when we take 1 and 2, x and y both should be positive...:)

What is OE?
nitindas wrote:
From 1) , 2(x-y) = 1 => x-y = 1/2 => x and y have the same sign.

From this how did you come to conclusion that x and y have same sign??
Please explain.

This question is from GMATPrep.I also marked E but correct answer is C (Both statements together are sufficient)

Kudos [?]: 844 [0], given: 18

Manager
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Posts: 134

Kudos [?]: 55 [0], given: 0

Re: Data Sufficiency [#permalink]

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New post 15 Mar 2009, 06:01
Yes..

That is the right explanation Economist. C it is.

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Re: Data Sufficiency [#permalink]

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New post 15 Mar 2009, 07:03
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nitindas wrote:
Data Sufficiency
Are x and y both positive?
1. 2x-2y=1
2. x/y > 1



1. X,Y both can be positive
or x is +ve y is -ve

not sufficient
2)
x,y both must be +ve or -ve
not sufficient

combined

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

1/2y = x/y-1 = +ve (since x/y >1 )

so y +ve .. obvisouly x must be +Ve

C.
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Kudos [?]: 1062 [1], given: 5

Manager
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Joined: 21 Feb 2009
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Kudos [?]: 97 [0], given: 4

Re: Data Sufficiency [#permalink]

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New post 15 Mar 2009, 12:21
great explanation..!!

Kudos [?]: 97 [0], given: 4

Re: Data Sufficiency   [#permalink] 15 Mar 2009, 12:21
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Data Sufficiency

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