Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 11 Sep 2017
Posts: 1

In which quadrant does the point P(x,y) lie? [#permalink]
Show Tags
19 Sep 2017, 04:05
2
This post was BOOKMARKED
Question Stats:
57% (01:05) correct 43% (01:04) wrong based on 42 sessions
HideShow timer Statistics
In which quadrant does the point P(x,y) lie? (1) Point R(x, y+1) is in the second quadrant. (2) Point Q(x+3, y) is in the third quadrant.
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Sep 2009
Posts: 44313

Re: In which quadrant does the point P(x,y) lie? [#permalink]
Show Tags
19 Sep 2017, 04:21
1
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
In which quadrant does the point P(x,y) lie?(1) Point R(x, y+1) is in the second quadrant. In the second quadrant, xcoordinate is negative and ycoordinate is positive. So, x < 0 and y + 1 > 0 (y > 1). y > 1, means that y could be negative as well as positive, thus P(x, y) could be P(negative, negative) = III quadrant as well as P(negative, positive) = II quadrant. Not sufficient. (2) Point Q(x+3, y) is in the third quadrant. In the third quadrant, both x and y coordinates are negative. So, x + 3 < 0 (x < 3) and y < 0. Since, x < 3, then it's negative, thus P(x, y) = P(negative, negative) = III quadrant. Sufficient. Answer: B.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 12 Feb 2017
Posts: 71

In which quadrant does the point P(x,y) lie? [#permalink]
Show Tags
19 Sep 2017, 04:34
1) Point R(x, y+1) is in the second quadrant. This states that x is negative. but we clearly don't get any idea about y. y can be positive as well as negative. eg: x=3 y=2 then R(x,y+1) in II quadrant. x=3, y= 0.5 then R(x,y+1) in II quadrant. Statement I is insufficient.
(2) Point Q(x+3, y) is in the third quadrant. this states that x+3 is negative and y is negative. if x+3 is negative then x will be negative as well for all possible cases. hence x is negative and y is negative; means point P will be in III quadrant. Statement II is sufficient. hence, Answer is B.
Kudos if it helps.



Senior Manager
Joined: 02 Jul 2017
Posts: 289

Re: In which quadrant does the point P(x,y) lie? [#permalink]
Show Tags
19 Sep 2017, 04:41
Quadrant of point P(x,y)
(1) Point R(x, y+1) is in the second quadrant. => As above point R lie in 2nd quadrant => x =ve and y+1 is +ve Now we have to find quadrant of P(x,y). As we already know x is ve we ahve to check value of y
If R(1,5) => P =(1, 4) => P lies in second quadrant if R (1,0.5) => P =(1, 0.5) => P lies in third quadrant.
So either P lies in second or third quadrant. here we don't know value of y . Insufficient
(2) Point Q(x+3, y) is in the third quadrant. => As above point Q lie in 3rd quadrant => x+3 =ve and y is ve Now we have to find quadrant of P(x,y)
If Q(0.5,1) => x+3 = 0.5 => x =3.5 => P =(3.5, 1) => P lies in third quadrant
Implies for all the values of x point P will lie in 3rd quadrant. Sufficient
Answer: B




Re: In which quadrant does the point P(x,y) lie?
[#permalink]
19 Sep 2017, 04:41






