Last visit was: 23 Apr 2026, 00:49 It is currently 23 Apr 2026, 00:49
Close
GMAT 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 GMAT 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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,763
Own Kudos:
Given Kudos: 105,850
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,763
Kudos: 810,711
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
sanskritixk
Joined: 03 May 2021
Last visit: 15 Sep 2025
Posts: 2
Given Kudos: 23
Posts: 2
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,763
Own Kudos:
Given Kudos: 105,850
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,763
Kudos: 810,711
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
vn049636
Joined: 23 Dec 2021
Last visit: 17 Feb 2025
Posts: 23
Own Kudos:
Given Kudos: 114
Location: India
Posts: 23
Kudos: 5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think this is a high-quality question and I agree with explanation.
User avatar
vaibhavagr11
Joined: 14 Jul 2024
Last visit: 21 Feb 2025
Posts: 1
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think this is a high-quality question and I agree with explanation.
User avatar
Anant0802
Joined: 05 Sep 2024
Last visit: 13 Oct 2025
Posts: 1
Given Kudos: 1
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I think this is a high-quality question and I agree with explanation.
User avatar
nicorabinovich
Joined: 26 May 2025
Last visit: 30 Aug 2025
Posts: 3
Given Kudos: 2
Posts: 3
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What happens if instead of a 7-sided regular polygon, we have a 6-sided, 8-sided or 20-sided regular polygon, how does having colinear vertices impact on the reasoning for this question?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,763
Own Kudos:
Given Kudos: 105,850
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,763
Kudos: 810,711
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nicorabinovich
What happens if instead of a 7-sided regular polygon, we have a 6-sided, 8-sided or 20-sided regular polygon, how does having colinear vertices impact on the reasoning for this question?
If you replace the 7-sided regular polygon with a 6-, 8-, or 20-sided regular polygon, the logic still holds exactly the same, because in any regular polygon, no three vertices are colinear.

That’s the key reason we can safely say:

  • Any 3 chosen vertices will always form a triangle.
  • Any 4 chosen vertices will always form a quadrilateral.

So the reasoning applies to any regular polygon with n ≥ 3, regardless of how many sides it has. Colinearity would only be a problem if three or more points lay on a straight line, which does not happen in regular polygons.
User avatar
adarsh2209
Joined: 28 Mar 2024
Last visit: 22 Apr 2026
Posts: 33
Given Kudos: 361
Location: India
GMAT Focus 1: 655 Q88 V82 DI77
GMAT Focus 1: 655 Q88 V82 DI77
Posts: 33
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I like the solution - it’s helpful.
User avatar
Aboyhasnoname
Joined: 19 Jan 2025
Last visit: 21 Apr 2026
Posts: 302
Own Kudos:
Given Kudos: 64
Products:
Posts: 302
Kudos: 100
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What a nice and tough question..... a lot of us like me will go down the memory lane and think of it as one of the questions we used to do in a childhood...Where we used to find the the no of triangles in a given figure......Where several triangles were there inside a triangles.......Eg...attached below....BUT its not that...the questions says vertices of a 7 sided regular polygon...So just pick the vertices and then its pretty easy..!!!


Bunuel
How many total triangles and quadrilaterals can be created using the vertices of a 7-sided regular polygon? (A regular polygon is a polygon with equal sides and angles.)

A. 35
B. 40
C. 50
D. 65
E. 70

Attachments

xhow-many-triangles-are-there-in-this-figure.jpg.pagespeed.ic.hYO73kirfS.jpg
xhow-many-triangles-are-there-in-this-figure.jpg.pagespeed.ic.hYO73kirfS.jpg [ 6.57 KiB | Viewed 299 times ]

User avatar
hritik04
Joined: 11 Nov 2025
Last visit: 22 Apr 2026
Posts: 14
Own Kudos:
Given Kudos: 25
Posts: 14
Kudos: 9
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I like the solution - it’s helpful.
User avatar
mewsmas
Joined: 02 Sep 2025
Last visit: 13 Apr 2026
Posts: 1
Location: United States
Schools: Ross '26
GPA: 3.76
Schools: Ross '26
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Why is this showing up in a quant test on here if this isn't tested anymore?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,763
Own Kudos:
Given Kudos: 105,850
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,763
Kudos: 810,711
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mewsmas
Why is this showing up in a quant test on here if this isn't tested anymore?

This is still tested. The question is a Statistics problem, and Statistics remains in the GMAT syllabus. That’s why it shows up in the tests!
   1   2 
Moderators:
Math Expert
109763 posts
Founder
43154 posts