Last visit was: 20 Nov 2025, 04:59 It is currently 20 Nov 2025, 04:59
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2 
505-555 Level|   Geometry|               
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 19 Nov 2025
Posts: 16,267
Own Kudos:
77,002
 [2]
Given Kudos: 482
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,267
Kudos: 77,002
 [2]
A six-sided mosaic contains 24 triangular pieces of tile of the same 09 Oct 2022, 07:32
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Tanchat
Dear Experts, KarishmaB Bunuel BrentGMATPrepNow and ScottTargetTestPrep and others

1) Is it possible that other types of Triangle can form this six-sided mosaic?

2) in the statement two, if the first question is NO, do we actually require the length of triangle? We know the wide of rectangle and the mosaic can be put into the rectangle, we definitely know the size of the triangle.

3) According to the statement two, (2) The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
can we imply that the mosaic perfectly fits into the rectangular? or it is possible that this rectangular may be larger than the mosaic --> so the mosaic can be put into the rectangular but we cannot define any size of the mosaic (or triangle)

Thank you in advance
Show more

Stmnt 1 gives us that the triangles are equilateral but think about what happens in case of isosceles triangles. Imagine that the horizontal base of each triangle is just 6 cm while other two sides are still 9 cm each. Will we face any problem in making the mosaic?

Stmtn 2 means that the mosaic fits into a 40 cms wide frame so its width is less than or equal to 40 cm. It is not necessary that its width is exactly 40 cm.
User avatar
Tanchat
User avatar
Joined: 31 Jan 2020
Last visit: 20 Jun 2023
Posts: 222
Own Kudos:
20
Given Kudos: 139
Posts: 222
Kudos: 20
A six-sided mosaic contains 24 triangular pieces of tile of the same 09 Oct 2022, 10:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
KarishmaB
Tanchat
Dear Experts, KarishmaB Bunuel BrentGMATPrepNow and ScottTargetTestPrep and others

1) Is it possible that other types of Triangle can form this six-sided mosaic?

2) in the statement two, if the first question is NO, do we actually require the length of triangle? We know the wide of rectangle and the mosaic can be put into the rectangle, we definitely know the size of the triangle.

3) According to the statement two, (2) The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
can we imply that the mosaic perfectly fits into the rectangular? or it is possible that this rectangular may be larger than the mosaic --> so the mosaic can be put into the rectangular but we cannot define any size of the mosaic (or triangle)

Thank you in advance

Stmnt 1 gives us that the triangles are equilateral but think about what happens in case of isosceles triangles. Imagine that the horizontal base of each triangle is just 6 cm while other two sides are still 9 cm each. Will we face any problem in making the mosaic?

Stmtn 2 means that the mosaic fits into a 40 cms wide frame so its width is less than or equal to 40 cm. It is not necessary that its width is exactly 40 cm.
Show more

KarishmaB

Thank you for your response and explanation :)

I have further questions

I'm not sure whether isosceles triangles can be fit here. To be honest, I am not familiar with Geometry. How can I check that isosceles triangles can be combined to develop the six-sided mosaic?

For statements 2, if we want to convey the meaning that the mosaic width is exact 40 cm. the question will clear tell us, right? It can be "inscribed", or "exactly fit".
User avatar
760Abhi
User avatar
Joined: 25 Apr 2022
Last visit: 01 Dec 2022
Posts: 15
Own Kudos:
2
 [1]
Given Kudos: 90
Posts: 15
Kudos: 2
 [1]
A six-sided mosaic contains 24 triangular pieces of tile of the same 19 Oct 2022, 13:51
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
GMATinsight
Bunuel

A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic?

(1) Each side of each triangular piece of tile is 9 centimeters long.
(2) The mosaic can be put inside a rectangular frame that is 40 centimeters wide.


DS24602.01
OG2020 NEW QUESTION


Show Spoiler
Attachment:
2019-04-26_1400.png

Answer: Option A

Video solution by GMATinsight

Show more

Hi GMATinsight

I disagree with the last part of your explanation in the video i.e. you told: "for 2nd statement if it has been mentioned the mosaic exactly fits in the rectangle of width 40 cm then the statement would be sufficient"

Why I disagree:
Because then also it depends on how we are putting mosaic in the rectangle, there will be multiple possibilities for ex: 40== 4* length of each tile
OR
40 ==4* height of the equilateral triangle (if u have assumed tiles to be in the shape of equilateral triangle)
In both cases you will get different value of mosaic side.

I may be wrong hence requesting your reply on this please

Thank you
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 20 Nov 2025
Posts: 6,842
Own Kudos:
16,354
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,842
Kudos: 16,354
A six-sided mosaic contains 24 triangular pieces of tile of the same 20 Oct 2022, 01:10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
760Abhi
GMATinsight
Bunuel

A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic?

(1) Each side of each triangular piece of tile is 9 centimeters long.
(2) The mosaic can be put inside a rectangular frame that is 40 centimeters wide.


DS24602.01
OG2020 NEW QUESTION


Show Spoiler
Attachment:
2019-04-26_1400.png

Answer: Option A

Video solution by GMATinsight


Hi GMATinsight

I disagree with the last part of your explanation in the video i.e. you told: "for 2nd statement if it has been mentioned the mosaic exactly fits in the rectangle of width 40 cm then the statement would be sufficient"

Why I disagree:
Because then also it depends on how we are putting mosaic in the rectangle, there will be multiple possibilities for ex: 40== 4* length of each tile
OR
40 ==4* height of the equilateral triangle (if u have assumed tiles to be in the shape of equilateral triangle)
In both cases you will get different value of mosaic side.

I may be wrong hence requesting your reply on this please

Thank you
Show more

Hi 760Abhi

Yes, you are right however that's not a disagreement, it's another added information needed alongwith the infomation of perfectly filling mosaic in rectangle of width 40.

:) :thumbsup:
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,598
Own Kudos:
1,079
Posts: 38,598
Kudos: 1,079
A six-sided mosaic contains 24 triangular pieces of tile of the same 01 Nov 2023, 05:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
   1   2 
Moderators:
Bunuel
Math Expert
105414 posts
kingbucky
496 posts