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

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Math Expert
Joined: 02 Sep 2009
Posts: 47016
Point (x, y) lies in which quadrant of the rectangular coordinate syst [#permalink]

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11 Jan 2015, 12:32
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Difficulty:

25% (medium)

Question Stats:

71% (00:46) correct 29% (00:35) wrong based on 118 sessions

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2015-01-11_2332.png [ 6.87 KiB | Viewed 4274 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.

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Joined: 27 Oct 2013
Posts: 235
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]

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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: 47016
Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst [#permalink]

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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.

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Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst [#permalink]

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13 Nov 2017, 05:25
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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).

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Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst   [#permalink] 13 Nov 2017, 05:25
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