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

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

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A
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C
D
E

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2015-01-11_2332.png
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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.
[Reveal] Spoiler: OA

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

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New post 12 Jan 2015, 01:22
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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,y) lie in 3rd Quad

x = -6
y = 1
(x,y) lie in 2nd Quad

St2 is insufficient

Combining

X = -2
Y = -1
(x,y) lie in 3rd quad

x = -2
y = 1
(x,y) lie in 2nd quad


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

option E

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

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New post 19 Jan 2015, 02:29
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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.

E is the correct answer.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst [#permalink]

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New post 13 Nov 2017, 04:25
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Re: Point (x, y) lies in which quadrant of the rectangular coordinate syst   [#permalink] 13 Nov 2017, 04:25
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