Are x and y both positive? : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 10 Dec 2016, 08:04

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Are x and y both positive?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 11 Jan 2006
Posts: 230
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 17 [0], given: 18

Are x and y both positive? [#permalink]

### Show Tags

02 Oct 2006, 20:25
1
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

51% (03:17) correct 49% (01:12) wrong based on 152 sessions

### HideShow timer Statistics

Are x and y both positive?

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: are-x-and-y-both-positive-1-2x-2x-1-2-x-y-63377.html
[Reveal] Spoiler: OA

_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

Last edited by Bunuel on 26 Jun 2014, 00:06, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
VP
Joined: 25 Jun 2006
Posts: 1172
Followers: 3

Kudos [?]: 145 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

02 Oct 2006, 21:42

1) x-y=1/2>0. not enough.
2) x/y>1. not enough.

from 2), x and y are either both negative or both negative. but with 1), both negative case doesn't stand. so they can only be positive.
Intern
Joined: 02 Sep 2006
Posts: 14
Followers: 0

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

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 13:22
(E) Neither. (-1.5, -2), and (2, 1.5) will satisfy both statements.
Manager
Joined: 01 Oct 2006
Posts: 242
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 16:10
I think E too.
x=1, y=0.5
x=0.3, y=-0.2 both satify (i) and (ii)
VP
Joined: 25 Jun 2006
Posts: 1172
Followers: 3

Kudos [?]: 145 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 18:00
How can your examples satisfy both statements?
Manager
Joined: 01 Oct 2006
Posts: 242
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 19:15
My bad. you are right. I think in my head I had converted the equation to x>y.
Senior Manager
Joined: 13 Sep 2006
Posts: 281
Location: New York
Followers: 1

Kudos [?]: 17 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 19:17
1
This post was
BOOKMARKED
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

Statement 1 can have two possibilities. x=-1.5 and y= -1 OR x=1 and y=1.5. When plugged into Statement 1 they both yield 1. So x and y could be both positive or negative. Not sufficient.

2) x & y can be both either positive or negative. -4/-2=2 >1 and 3/1 =3 >1. Not sufficient

Together these are not sufficient either.....so my answer is E
Senior Manager
Joined: 11 Jul 2006
Posts: 382
Location: TX
Followers: 1

Kudos [?]: 14 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 19:26
Raghavender wrote:
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

Good Question !!

Stmt 1 x-y= 1/2 Insuff

Stmt 2 x/y > 1
From this stmt we know x > y and since x > y , x and y could only be both +ve .
It cannot be both -ve because x/y > 1 would not hold true.

-1 > -2 but -1/-2 < 1 .
Senior Manager
Joined: 13 Sep 2006
Posts: 281
Location: New York
Followers: 1

Kudos [?]: 17 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 20:17
ivymba - for second statement x/y>1 couldn't you have both x and y be negative.

e.g. if x= -4 and y = -2 then x/y would be -4/-2 = 2 (which is >1)?

Thanks
Senior Manager
Joined: 11 Jul 2006
Posts: 382
Location: TX
Followers: 1

Kudos [?]: 14 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

03 Oct 2006, 20:23
Matrix02 wrote:
ivymba - for second statement x/y>1 couldn't you have both x and y be negative.

e.g. if x= -4 and y = -2 then x/y would be -4/-2 = 2 (which is >1)?

Thanks

Yes, you are right matrix. What was I thinking ?
Senior Manager
Joined: 13 Sep 2006
Posts: 281
Location: New York
Followers: 1

Kudos [?]: 17 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 04:45
Current Student
Joined: 29 Jan 2005
Posts: 5238
Followers: 24

Kudos [?]: 365 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 06:40
Raghavender wrote:
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

Statement 1 reduces to x=y: Insuff

Statement 2 simplifies to x>y: Insuff

Together, still no solution.

(E)
Director
Joined: 06 Sep 2006
Posts: 743
Followers: 1

Kudos [?]: 36 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 07:20
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

1) INsufficient

2) x & y either both +ve or both -ve. We also extracted x>y

Combining:
we have already established that they are either both negative or both positive

both negative:
We know x - y = 1/2 and x>y
they both can not be negative because that wont satisfy the equation above.

They both positive. OA is C.
Senior Manager
Joined: 13 Sep 2006
Posts: 281
Location: New York
Followers: 1

Kudos [?]: 17 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 07:27
Raghavender - what is the OA and where did you get this question from?(If it is from OG11 could you please provide the page number).
Senior Manager
Joined: 13 Sep 2006
Posts: 281
Location: New York
Followers: 1

Kudos [?]: 17 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 07:32
[quote="asaf"]Are x and y both positive?

both negative:
We know x - y = 1/2 and x>y
they both can not be negative because that wont satisfy the equation above.

Good point asaf...but using this reasoning then A could be the answer no?

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

2x-2y=1

x-y=1/2

x must be greater than y and both must be positive in order to equal 1/2. Sufficient right?
Senior Manager
Joined: 30 Aug 2006
Posts: 374
Followers: 3

Kudos [?]: 64 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 08:04
I) x - y = 1/2

x = 1.5 and y = 1 or x = -0.5 and y = -1 INSUFF

II) x/y > 1

both -ve or both +ve and x > y, x = 1.5 and y = 1 or x = -0.5 and y = -1 INSUFF

using both:

x > y
both -ve or both +ve
x - y = 1/2

still could be x = 1.5 and y = 1 or x = -0.5 and y = -1, therefore both INSUFF - (E)
Director
Joined: 17 Jul 2006
Posts: 714
Followers: 1

Kudos [?]: 12 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 11:43
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

1. x-y=1/2 x could be negative and Y could be negative?

EX x= -1 y=-3/2 or
Both x and y could be positive.
EX x = 2 y= 3/2
Insufficient

2. x > Y Insufficient Both could be negative or positive
Combine 1 and 2 both X and Y not sufficient

ex: x =-1/4 & y=-3/4 supports 1 and 2 too. They both could be negative or positive

VP
Joined: 25 Jun 2006
Posts: 1172
Followers: 3

Kudos [?]: 145 [0], given: 0

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 16:52
OA is already posted, and you still say E is hte answer.
Director
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 66 [0], given: 1

Re: Are x and y both positive? [#permalink]

### Show Tags

04 Oct 2006, 20:13
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

1. x-y=1/2 x could be negative and Y could be negative?

EX x= -1 y=-3/2 or
Both x and y could be positive.
EX x = 2 y= 3/2
Insufficient

2. x > Y Insufficient Both could be negative or positive
Combine 1 and 2 both X and Y not sufficient

ex: x =-1/4 & y=-3/4 supports 1 and 2 too. They both could be negative or positive

-(1/4) * -(4/3) is not > 1. Does not satisfy statement 2.

Both conditions satisfied only if both X and Y are positive.

If it's any consolation, I was composing a message to the contrary before I realized the mistake we've made.
Manager
Joined: 11 Jan 2006
Posts: 230
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 17 [0], given: 18

Re: Are x and y both positive? [#permalink]

### Show Tags

05 Oct 2006, 20:48
I got the q wrong on GmatPrep

The OA is C

_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

Re: Are x and y both positive?   [#permalink] 05 Oct 2006, 20:48

Go to page    1   2    Next  [ 26 posts ]

Similar topics Replies Last post
Similar
Topics:
1 Are x and y both positive? 2 30 Aug 2016, 19:18
1 Are x and y both positive? 1 26 Aug 2016, 03:09
2 Are x and y both positive? 2 19 May 2015, 00:51
11 Are both x and y positive? 16 09 Oct 2013, 22:36
6 Are x and y both positive? 9 29 Jan 2009, 05:21
Display posts from previous: Sort by