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In the xyplane above, is angle QPR a right angle? [#permalink]
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06 Aug 2012, 03:05
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The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectAttachment:
PQR.png [ 6.44 KiB  Viewed 20669 times ]
In the xyplane above, is angle QPR a right angle? (1) Points P and Q have the same xcoordinate. (2) Points P and R have the same ycoordinate. Practice Questions Question: 11 Page: 275 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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06 Aug 2012, 03:06



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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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06 Aug 2012, 08:39
St 1: insufficient: PQ is parallel to Y axis St 2: insufficient: PR is parallel to X axis 1 + 2 : Sufficient PQ perpendicular to PR IMO C
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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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11 Sep 2015, 00:50
Statement 1 tells us that PQ is vertical line ll to Y axix Statement 2 tells us that PR is horizontal line ll to X axis X axis is perpendicular to Y axis
1+2 gives the ans hence C



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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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19 Sep 2015, 01:29
A. Insufficient. Since, we do not know whether the line is parallel to x axis B. Insufficient. Since, we do not know whether the line is parallel to y axis. Together the two statements give the answer. C.
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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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08 May 2016, 07:01
Why C? I understand PQ = horizontal same x coordinate but PR can be 2,3 & 3,3 no & PQ can still be Q = 8,3 & P = 2,3



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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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14 May 2016, 06:51
Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectAttachment: PQR.png In the xyplane above, is angle QPR a right angle? (1) Points P and Q have the same xcoordinate. (2) Points P and R have the same ycoordinate. Solution: We are given a triangle in the coordinate plane, and we must determine whether angle QPR is a right angle. Remember that a right angle measures 90 degrees. Statement One Alone:Points P and Q have the same xcoordinate. Statement one alone is not enough to determine whether angle QPR is a right angle. We can draw some diagrams to illustrate: We see in the diagram above that points P and Q have the same xcoordinate; however, angle QPR is not a right angle. We see in the diagram above that points P and Q have the same xcoordinate, and angle QPR is a right angle. Statement one is insufficient to answer the question. We can eliminate answer choices A and D. Statement Two Alone:Points P and R have the same ycoordinate. Again, let's draw some diagrams to illustrate: We see in the diagram above that points P and R have the same ycoordinate; however, angle QPR is not a right angle. We see in the diagram above that points P and R have the same ycoordinate, and angle QPR is a right angle. Statement two is insufficient to answer the question. We can eliminate answer choice B. Statements One and Two Together:From statements one and two together we know that points P and R have the same ycoordinate and points P and Q have the same xcoordinate. Thus, PR must be parallel to the x axis and QP must be parallel to the y axis and angle QPR must be a right angle. The answer is C.
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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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22 Jul 2016, 12:22
Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition  Quantitative Questions ProjectAttachment: PQR.png In the xyplane above, is angle QPR a right angle? (1) Points P and Q have the same xcoordinate. (2) Points P and R have the same ycoordinate.] We are given a triangle in the coordinate plane, and we must determine whether angle QPR is a right angle. Remember that a right angle measures 90 degrees. Statement One Alone:Points P and Q have the same xcoordinate. Statement one alone is not enough to determine whether angle QPR is a right angle. We can draw some diagrams to illustrate: We see in the diagram above that points P and Q have the same xcoordinate; however, angle QPR is not a right angle. We see in the diagram above that points P and Q have the same xcoordinate, and angle QPR is a right angle. Statement one is insufficient to answer the question. We can eliminate answer choices A and D. Statement Two Alone:Points P and R have the same ycoordinate. Again, let's draw some diagrams to illustrate: We see in the diagram above that points P and R have the same ycoordinate; however, angle QPR is not a right angle. We see in the diagram above that points P and R have the same ycoordinate, and angle QPR is a right angle. Statement two is insufficient to answer the question. We can eliminate answer choice B. Statements One and Two Together:From statements one and two together we know that points P and R have the same ycoordinate and points P and Q have the same xcoordinate. Thus, PR must be parallel to the x axis and QP must be parallel to the y axis and angle QPR must be a right angle. The answer is C.
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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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05 Jul 2017, 12:19
This is one of the several examples where the figure is drawn to scale but we cannot make any assumptions about the angles. Statement 1) Gives no information about R...........Insufficient Statement 2) Gives no information about Q...........Insufficient Together we know that PQR is a right angled triangle.
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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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28 Aug 2017, 05:23
Are we supposed to assume that the points Q, P, and R are distinct? If no, then QPR can be a zerodegree angle



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Re: In the xyplane above, is angle QPR a right angle? [#permalink]
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28 Aug 2017, 06:07
karolis wrote: Are we supposed to assume that the points Q, P, and R are distinct? If no, then QPR can be a zerodegree angle Problem SolvingFigures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated. Data Sufficiency:Figures:• Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2). • Lines shown as straight are straight, and lines that appear jagged are also straight. • The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.• All figures lie in a plane unless otherwise indicated.
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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.
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Re: In the xyplane above, is angle QPR a right angle?
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