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.
In the figure, O is the center of the circle. Which one of t
[#permalink]
01 Oct 2018, 13:37
01 Oct 2018, 13:37
Expert Reply
00:00
Question Stats:
80% (00:59) correct
20% (00:55) wrong based on 50 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion In the figure, O is the center of the circle.jpg [ 18.56 KiB | Viewed 3779 times ]
In the figure, O is the center of the circle. Which one of the following must be true about the perimeter of the triangle shown?
(A) Always less than 10
(B) Always greater than 40
(C) Always greater than 30
(D) Always less than 30
(E) Less than 40 and greater than 20
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1111
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
In the figure, O is the center of the circle. Which one of t
[#permalink]
07 Jun 2020, 01:23
07 Jun 2020, 01:23
1
[Refer attached image]
In Triangle OAB, OA=OB= Radius = 10
That means that the perimeter of triangle OAB = OA + OB + AB > 20
Now, the perimeter will be least when AB is least which is close to 0 => Perimeter > 20
[see second circle in the attached image]
Perimeter will be maximum when AB is maximum which is close to the diameter (it cannot be the diameter as then A,o and B will be on the same line so we cannot get a triangle)
so, AB <20
=> Perimeter < 10+10+20
=> Perimeter < 40
[refer circle three in attached image]
=> 20 < Perimeter of OAB < 40
So, answer will be E
Hope it helps!
Watch the following video to Learn Basics of Circles
In Triangle OAB, OA=OB= Radius = 10
That means that the perimeter of triangle OAB = OA + OB + AB > 20
Now, the perimeter will be least when AB is least which is close to 0 => Perimeter > 20
[see second circle in the attached image]
Perimeter will be maximum when AB is maximum which is close to the diameter (it cannot be the diameter as then A,o and B will be on the same line so we cannot get a triangle)
so, AB <20
=> Perimeter < 10+10+20
=> Perimeter < 40
[refer circle three in attached image]
=> 20 < Perimeter of OAB < 40
So, answer will be E
Hope it helps!
Watch the following video to Learn Basics of Circles
Attachments
image-2.jpg [ 79.5 KiB | Viewed 1883 times ]
gmatclubot
In the figure, O is the center of the circle. Which one of t [#permalink]
07 Jun 2020, 01:23
Moderators:
