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In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes. What is the sum of the coordinates of point P ?

(1) The x-coordinate of point Q is -1. (2) The y-coordinate of point R is 1.

Please help with above problem.

Hi,

Since it is given that PQ and PR are parallel to rectangular coordinate axis.. PQ is parallel to y-axis, so P will have same x coordinate as Q but different y coordinate.. Similarly since PR is parallel to x-axis, Pwill have same y coordinate but different x coordinate as R..

Statement I gives x coordinate of Q which is same as that of point P and statement II gives us y coordinate of R which is same as that of P.. So combined we have both coordinates and ans is -1+1=0 Sufficient C
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Re: In the figure above, segments PQ and PR are each parallel to one of th [#permalink]

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27 Jan 2017, 01:05

1

This post received KUDOS

anairamitch1804 wrote:

In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes. What is the sum of the coordinates of point P ?

(1) The x-coordinate of point Q is -1. (2) The y-coordinate of point R is 1.

Please help with above problem.

As PQ is parallel to Y axis( X coordinate of Q will same for x coordinate of P) and PR is parallel to X axis(Y coordinate of Q will same for Y coordinate of P).

Re: In the figure above, segments PQ and PR are each parallel to one of th [#permalink]

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14 Sep 2017, 12:20

Hi Bunuel,

I have one question. It is never mentioned in the question that PQ is parallel to Y-axis and PR is parallel to X-axis. The statement just says it is parallel to one of rectangular axes. (only given figure says, PQ is parallel to Y-axis and PR is parallel to X-axis). A figure in any question is not to scale.

so let us assume that, PQ is parallel to X-axis and PR is parallel to Y-axis, (as shown in the attached photo)

now applying, statement 1 and statement2, we still cannot know coordinates of P, so answer will be E.

But however, if we go by info given in figure (PQ || to Y-axis and PR || to X-axis), then answer is C.

Please help.

Attachments

IMG_20170915_014321.jpg [ 995.3 KiB | Viewed 615 times ]

I have one question. It is never mentioned in the question that PQ is parallel to Y-axis and PR is parallel to X-axis. The statement just says it is parallel to one of rectangular axes. (only given figure says, PQ is parallel to Y-axis and PR is parallel to X-axis). A figure in any question is not to scale.

so let us assume that, PQ is parallel to X-axis and PR is parallel to Y-axis, (as shown in the attached photo)

now applying, statement 1 and statement2, we still cannot know coordinates of P, so answer will be E.

But however, if we go by info given in figure (PQ || to Y-axis and PR || to X-axis), then answer is C.

Please help.

Problem Solving Figures: 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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