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# Are X & Y both positive?

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Are X & Y both positive? [#permalink]  30 Apr 2007, 19:53
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POST EDITED...Second statement has been corrected

Hi ..Need help in solving this DS :
---------------------------------------
Are X & Y both positive

(1) 2x-2y = 1
(2) x/y > 1 (X divided by Y)

Last edited by hellofriends on 02 May 2007, 16:49, edited 1 time in total.
Director
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Re: DS-GMAT Prep [#permalink]  30 Apr 2007, 21:38
hellofriends wrote:
Hi ..Need help in solving this DS :
---------------------------------------
Are X & Y both positive

(1) 2x-2y = 1
(2) x/y=1 (X divided by Y)

look for similar question though i missed it.

http://www.gmatclub.com/phpbb/viewtopic ... ht=#316336
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St1:
x-y = 1/2

x can be 0 and y = -1/2 or x = 1/4 and y = 1/4 etc

Insufficient.

St2:
x/y = 1
x = y

Can be both positive or both negative

Using both, sufficient. Both must be positive.

Ans C
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Re: DS-GMAT Prep [#permalink]  01 May 2007, 02:05
hellofriends wrote:
Hi ..Need help in solving this DS :
---------------------------------------
Are X & Y both positive

(1) 2x-2y = 1
(2) x/y=1 (X divided by Y)

(1) not sufficient because at least both negative or both positive

(2) not sufficient because both negative or both positive

(1) and (2) give 2x-2x=1

Manager
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[quote="ywilfred"]St1:
x-y = 1/2

x can be 0 and y = -1/2 or x = 1/4 and y = 1/4 etc

Insufficient.

St2:
x/y = 1
x = y

Can be both positive or both negative

Using both, sufficient. Both must be positive.

Ans C[/quote]

Hi ywilfred, I don't get the answer of this question... When we analyze statements 1&2, the information we have is of 2 lines that never intersect (slope is 1 in both cases), therefore there is not solution! Could you please elaborate?
Senior Manager
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Re: DS-GMAT Prep [#permalink]  01 May 2007, 09:21
(1) x = y + 1/2
(2) x = y

Clearly, for (1) or (2), one cannot state for sure that x and y are both +ve.

For (1&2), we get an unsolvable set of 2 equations w/ 2 variables (the expressions with x and y have the same coefficients).

Then, E.
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Re: DS-GMAT Prep [#permalink]  01 May 2007, 09:51
F75 wrote:
hellofriends wrote:
Hi ..Need help in solving this DS :
---------------------------------------
Are X & Y both positive

(1) 2x-2y = 1
(2) x/y=1 (X divided by Y)

(1) not sufficient because at least both negative or both positive

(2) not sufficient because both negative or both positive

(1) and (2) give 2x-2x=1

Agree E.
If (2) x/y >1, then answer would be C.
Intern
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the OA for this question is "C".Both of the Conditions together are sufficient..
Manager
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[quote="hellofriends"]the OA for this question is "C".Both of the Conditions together are sufficient..[/quote]
Can you check then whether you have written the statement 2 correctly?
The answer is clearly E... we have two parallel lines, meaning that there is no solution! In addition, if x=y you can never get the solution x/2-y/2=1
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Ans E
(1) 2x-2y=1 >> x-y=0.5 >> x is +ve, but can't say about y (It can be either). NOT SUFFICIENT
(2) x/y > 1 >> both can be -ve or +ve, also implies that x>y. But cant say for sure if both are +ve. Hence NOT SUFFICIENT
(3) Together: x>0 and x>y; still cant say about y. Hence NOT SUFFICIENT

Hence E
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