Last visit was: 20 Apr 2025, 13:33 It is currently 20 Apr 2025, 13:33
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

GRE Math Challenge #134-The vertices of an equilateral

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11370 [4]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
GRE Math Challenge #134-The vertices of an equilateral [#permalink] New post   Updated on: 20 Feb 2020, 16:15
1
Expert Reply
3
Bookmarks
00:00

Question Stats:

78% (00:48) correct 21% (00:47) wrong based on 98 sessions

Hide Show timer Statistics

The vertices of an equilateral triangle are on a circle.

Quantity A
Quantity B
The length of a side of the triangle
The diameter of the circle


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
ShowHide Answer
Official Answer
B

Originally posted by sandy on 15 May 2015, 11:36.
Last edited by Carcass on 20 Feb 2020, 16:15, edited 1 time in total.
Updated
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12359 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: GRE Math Challenge #134 [#permalink] New post   17 May 2015, 09:19
sandy wrote:
The vertices of an equilateral triangle are on a circle.

Quantity A: The length of a side of the triangle
Quantity B: The diameter of the circle


Something nice happens when we sketch this information and add a center and two radii.
Image

Notice that if we add the lengths of the two radii we get the DIAMETER.
So, we're now comparing the sum of the two radii with one side of the triangle.

Well, there's a nice triangle rule that says: the length of the 3rd side MUST BE less than the sum of the lengths of the other two sides.
So, when we examine the lower triangle (comprised of 2 radii and one side of the equilateral triangle), we know that the length of the side of the equilateral triangle MUST BE LESS than the sum of the two radii (aka the diameter)

Answer: B

Cheers,
Brent
Attachments

000r.png
000r.png [ 7.47 KiB | Viewed 11094 times ]

avatar
sirkhan108
Intern
Intern
Joined: 26 Apr 2020
Posts: 14
Own Kudos [?]: 9 [0]
Given Kudos: 18
Send PM
Re: GRE Math Challenge #134-The vertices of an equilateral [#permalink] New post   13 May 2020, 06:42
The height of an eqt. triangle : (Root of 3)/2 * a = 1.732/2 * a < a

The diameter from one edge to the opp. point on the diameter will be greater than a.

Thus B
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5279
Own Kudos [?]: 77 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #134-The vertices of an equilateral [#permalink] New post   13 Jan 2023, 11:44
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: GRE Math Challenge #134-The vertices of an equilateral [#permalink]
13 Jan 2023, 11:44
Moderators:
adewale223
GRE Instructor
108 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1131 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact