GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Points P,Q, and R lie in the coordinate plane.
[#permalink]
20 Jun 2022, 22:23
20 Jun 2022, 22:23
1
2
Bookmarks
00:00
Question Stats:
66% (01:44) correct
33% (01:42) wrong based on 6 sessions
Hide Show timer Statistics
Points P, Q, and R lie in the coordinate plane. If P = (1,5), Q=(1,1) and R = (7,y), how many different integer values for y could be chosen to form Triangle PQR, such that none of the angles in Triangle PQR is greater than 90° ?
(A) 0
(B) 3
(C) 5
(D) 7
(E) It cannot be determined from the information given
Source: Mahattan Prep 3 ( Geometry, Medium Practice Question Set, Q2)
(A) 0
(B) 3
(C) 5
(D) 7
(E) It cannot be determined from the information given
Source: Mahattan Prep 3 ( Geometry, Medium Practice Question Set, Q2)
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: Points P,Q, and R lie in the coordinate plane.
[#permalink]
07 Sep 2022, 23:44
07 Sep 2022, 23:44
1
94d33m wrote:
Points P, Q, and R lie in the coordinate plane. If P = (1,5), Q=(1,1) and R = (7,y), how many different integer values for y could be chosen to form Triangle PQR, such that none of the angles in Triangle PQR is greater than 90° ?
(A) 0
(B) 3
(C) 5
(D) 7
(E) It cannot be determined from the information given
Source: Mahattan Prep 3 ( Geometry, Medium Practice Question Set, Q2)
(A) 0
(B) 3
(C) 5
(D) 7
(E) It cannot be determined from the information given
Source: Mahattan Prep 3 ( Geometry, Medium Practice Question Set, Q2)
(Refer to the figure below)
Mark the point P and Q on a graph.
Since, point R has x-coordinate as 7, draw a line of x = 7.
We have been given that the triangle cannot have any angle greater than 90° i.e. the y-coordinate of point R cannot go beyond the y value of point P (y = 5) and y value of point Q (y = 1).
The available options for y-coordinate of point R is 1, 2, 3, 4, and 5
Hence, option C
Attachments
Points P, Q, and R lie in the coordinate plane..png [ 22.37 KiB | Viewed 1078 times ]
gmatclubot
Re: Points P,Q, and R lie in the coordinate plane. [#permalink]
07 Sep 2022, 23:44
Moderators:
