Last visit was: 12 Dec 2024, 10:29 It is currently 12 Dec 2024, 10:29
Home
GMAT
Messages
Tests
Schools
Reviews
Social
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Dec 2024
Posts: 97,847
Own Kudos:
685,343
 [2]
Given Kudos: 88,255
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,847
Kudos: 685,343
 [2]
A fifth-grade classroom decorates its bulletin board with a repeating 24 Feb 2022, 21:00
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

71% (01:35) correct 29% (01:43) wrong based on 69 sessions

History

Date
Time
Result
Not Attempted Yet
A fifth-grade classroom decorates its bulletin board with a repeating border of alternating shapes. These are, in order, a triangle, square, circle, and rectangle. If the top border begins with a triangle and ends in a circle, which of the following could be the total number of shapes that the top border contains?

(A) 12
(B) 18
(C) 26
(D) 34
(E) 47
ShowHide Answer
Official Answer
E
User avatar
stne
User avatar
Joined: 27 May 2012
Last visit: 11 Dec 2024
Posts: 1,736
Own Kudos:
1,644
Given Kudos: 645
Posts: 1,736
Kudos: 1,644
A fifth-grade classroom decorates its bulletin board with a repeating Updated on: 05 Mar 2022, 06:25
Originally posted by stne on 04 Mar 2022, 11:21.
Last edited by stne on 05 Mar 2022, 06:25, edited 2 times in total.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A fifth-grade classroom decorates its bulletin board with a repeating border of alternating shapes. These are, in order, a triangle, square, circle, and rectangle. If the top border begins with a triangle and ends in a circle, which of the following could be the total number of shapes that the top border contains?

(A) 12
(B) 18
(C) 26
(D) 34
(E) 47

Since the numbers are not so huge we can use brute force !


T \(\hspace{1mm}\) S \(\hspace{1mm}\) C \(\hspace{1mm} \) R
1 \(\hspace{1mm} \) 2 \(\hspace{1mm} \) 3 \(\hspace{1mm} \) 4
5 \(\hspace{1mm} \) 6 \(\hspace{1mm} \) 7 \(\hspace{1mm} \) 8
9 \(\hspace{1mm} \) 10\(\hspace{1mm} \) 11\(\hspace{1mm} \) 12
13 14 15 16
17 18 19 20
21 22 23 24
25 26 27 28
29 30 31 32
33 34 35 36

We can see the circle's position \(3 , 7 , 11, 15 ,.......31,35\)

At this point we can conclude that E has to be the answer choice, because upto 36th place none of the options satisfy for circle's option.

Ans = E

if one can find a general pattern that would be awesome !

Hope the post was helpful.
avatar
TahaTT
avatar
Joined: 09 Oct 2021
Last visit: 29 Jan 2023
Posts: 5
Own Kudos:
7
 [2]
Given Kudos: 41
Location: India
Posts: 5
Kudos: 7
 [2]
A fifth-grade classroom decorates its bulletin board with a repeating 05 Mar 2022, 00:51
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A fifth-grade classroom decorates its bulletin board with a repeating border of alternating shapes. These are, in order, a triangle, square, circle, and rectangle. If the top border begins with a triangle and ends in a circle, which of the following could be the total number of shapes that the top border contains?

(A) 12
(B) 18
(C) 26
(D) 34
(E) 47

We can see the Pattern here,
T,S,C,R

Now there are 4 items in the set but since the border ends with a circle which is the 3rd item in the set, the number of items (that is, the total number of shapes should be odd. Which eliminates 4 of our choices and only leaves us with the last choice.

So the correct answer should be (E)

Hope it helps!!
User avatar
Aks111
User avatar
Joined: 13 Mar 2017
Last visit: 01 Nov 2024
Posts: 145
Own Kudos:
242
 [2]
Given Kudos: 96
Location: India
Schools: ISB '23 Rotman '24 Ross '24
WE:Information Technology (Consulting)
Products:
My Reviews
Schools: ISB '23 Rotman '24 Ross '24
Posts: 145
Kudos: 242
 [2]
A fifth-grade classroom decorates its bulletin board with a repeating 08 Mar 2022, 17:43
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We have 4 triangle, square, circle, and rectangle which repeat one after another.
If the row ended in 'rectangle' shape, then total number of shapes would have been a multiple of 4.

However, we have 3 more shapes afterwards i.e. TSCR, TSCR, ..., TSC
The total # of shapes in a row should be = 4k+ 3 (where k is any positive integer)

(A) 12 = 4k + 3 => 4k = 9 --> in this case k will not be an integer. Hence A is not correct option.
(B) 18 = 4k + 3 => 4k = 15 --> in this case k will not be an integer. Hence B is not correct option.
(C) 26 = 4k + 3 => 4k = 23 --> in this case k will not be an integer. Hence C is not correct option.
(D) 34 = 4k + 3 => 4k = 31 --> in this case k will not be an integer. Hence D is not correct option.
(E) 47 = 4k + 3 => 4k = 44 --> in this case k =11, an integer. Hence E is correct option.

Answer: E
Moderator:
Bunuel
Math Expert
97846 posts