GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2018, 02:25

### 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

# Point (x, y) lies in which quadrant of the rectangular coordinate syst

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49988
Point (x, y) lies in which quadrant of the rectangular coordinate syst  [#permalink]

### Show Tags

11 Jan 2015, 12:32
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:06) correct 26% (00:57) wrong based on 122 sessions

### HideShow timer Statistics

Attachment:

2015-01-11_2332.png [ 6.87 KiB | Viewed 4723 times ]
Point (x, y) lies in which quadrant of the rectangular coordinate system shown in the figure below?

(1) x = –2
(2) x + y < 0

Kudos for a correct solution.

_________________
Manager
Joined: 27 Oct 2013
Posts: 217
Location: India
Concentration: General Management, Technology
GMAT Date: 03-02-2015
GPA: 3.88
Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst  [#permalink]

### Show Tags

12 Jan 2015, 02:22
1
1
Here we go

St1: x = –2

Clearly insufficient
point (x,y) may lie in 2nd or 3rd Quad

St2: x+y < 0

x = -2
y = -1

x = -6
y = 1

St2 is insufficient

Combining

X = -2
Y = -1

x = -2
y = 1

None of the statement is sufficient enough to answer the question.

option E
Math Expert
Joined: 02 Sep 2009
Posts: 49988
Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst  [#permalink]

### Show Tags

19 Jan 2015, 03:29
2
1
Bunuel wrote:
Attachment:
2015-01-11_2332.png
Point (x, y) lies in which quadrant of the rectangular coordinate system shown in the figure below?

(1) x = –2
(2) x + y < 0

Kudos for a correct solution.

OFFICIAL SOLUTION:

This data sufficiency question concerns the quadrant plane of coordinate geometry fame. You need information that places the point in one specific quadrant of the plane. You can do that if you know whether each coordinate is negative or positive.

Statement (1) tells you that x is negative, so you know that the point is to the left of the coordinate plane. But you don’t know the value of y, so you don’t know which of the left quadrants it is in. Eliminate A and D and check out statement (2).

You could solve the equation in statement (2) to discover that either y < –x or x < –y, but neither of those solutions tells you whether the values are definitely positive or negative. So eliminate B because statement II isn’t sufficient. Now consider the two statements together.

When you combine the information in the two equations, you get that x = –2 and that y < 2:
x + y < 0
–2 + y < 0
y < 2

You know the value of x, but you still have a range of values for y that could be either positive or negative. Therefore, you still don’t know exactly which quadrant the point is in. The two statements together are insufficient to answer the question, so you can eliminate C.

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 8446
Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst  [#permalink]

### Show Tags

13 Nov 2017, 05:25
1
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst &nbs [#permalink] 13 Nov 2017, 05:25
Display posts from previous: Sort by