Last visit was: 28 Apr 2026, 11:28 It is currently 28 Apr 2026, 11:28
Home
Messages
Tests
Schools
Events
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: 28 Apr 2026
Posts: 109,950
Own Kudos:
811,763
 [2]
Given Kudos: 105,927
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,950
Kudos: 811,763
 [2]
In an empty square field, n rows of n trees are planted so that the wh 01 Oct 2020, 02:45
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:

45% (medium)

Question Stats:

64% (01:47) correct 36% (02:02) wrong based on 125 sessions

History

Date
Time
Result
Not Attempted Yet
In an empty square field, n rows of n trees are planted so that the whole field is filled with trees. If k of these trees lie along the boundary of the field, which of the following is a possible value for k?

A. 14

B. 49

C. 86

D. 125

E. 276
ShowHide Answer
Official Answer
E
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 28 Apr 2026
Posts: 8,633
Own Kudos:
5,191
 [2]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,633
Kudos: 5,191
 [2]
In an empty square field, n rows of n trees are planted so that the wh Updated on: 02 Oct 2020, 06:11
Originally posted by Archit3110 on 01 Oct 2020, 03:55.
Last edited by Archit3110 on 02 Oct 2020, 06:11, edited 1 time in total.
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
since its a square field so the answer value of k would be a multiple value of 4 as the boundary wall of square field is nothing but perimeter
only option E sufficies
276/4 ; 69



Bunuel
In an empty square field, n rows of n trees are planted so that the whole field is filled with trees. If k of these trees lie along the boundary of the field, which of the following is a possible value for k?

A. 14

B. 49

C. 86

D. 125

E. 276
Show more
User avatar
Mona2019
User avatar
Joined: 13 Mar 2018
Last visit: 27 Sep 2022
Posts: 190
Own Kudos:
222
 [1]
Given Kudos: 1,608
Posts: 190
Kudos: 222
 [1]
In an empty square field, n rows of n trees are planted so that the wh 01 Oct 2020, 04:58
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO answer is E

The number of trees in the boundary can be 70*2 =140
+ 68*2= 136
=276

Posted from my mobile device
avatar
notsure9999
avatar
Joined: 30 May 2013
Last visit: 03 Mar 2022
Posts: 12
Own Kudos:
8
Given Kudos: 67
Posts: 12
Kudos: 8
In an empty square field, n rows of n trees are planted so that the wh 01 Oct 2020, 16:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
guess: E

work:

n rows and n trees given
trees that aren't along the border = (n-2) * (n-2)
total number of trees = n^2

trees along the border = n^2 - [ (n-2) * (n-2) ]
n^2 - n^2 + 4n - 4 -> 4(n - 1) -> n has to be a multiple of 4.

Bunuel
In an empty square field, n rows of n trees are planted so that the whole field is filled with trees. If k of these trees lie along the boundary of the field, which of the following is a possible value for k?

A. 14

B. 49

C. 86

D. 125

E. 276
Show more
User avatar
aviddd
User avatar
Joined: 26 Jul 2020
Last visit: 10 Mar 2021
Posts: 204
Own Kudos:
227
Given Kudos: 66
Products:
My Reviews
Posts: 204
Kudos: 227
In an empty square field, n rows of n trees are planted so that the wh 01 Oct 2020, 22:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total number of trees = n*n = n^2.

Number of trees along the boundary = k.

If you remove the boundary trees, you are left with a square again, which is (n-2)^2

So, k = n^2 - (n-2)^2 = 4n - 4 = 4(n-1)

k has to be a multiple of 4. Answer: E
User avatar
nickdatank
User avatar
Joined: 21 Sep 2020
Last visit: 20 Mar 2023
Posts: 4
Own Kudos:
1
Posts: 4
Kudos: 1
In an empty square field, n rows of n trees are planted so that the wh 02 Oct 2020, 01:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Guess : E

k = perimeter of square = 4n = Means something that is divisible by 4 with no reminder.
avatar
esitsc
avatar
Joined: 17 Sep 2020
Last visit: 09 Nov 2020
Posts: 2
Posts: 2
Kudos: 0
In an empty square field, n rows of n trees are planted so that the wh 02 Oct 2020, 01:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I would say E as has to be divisible by 4
avatar
Shombrita
avatar
Joined: 06 Oct 2018
Last visit: 02 Jul 2021
Posts: 1
Given Kudos: 5
Posts: 1
Kudos: 0
In an empty square field, n rows of n trees are planted so that the wh 02 Oct 2020, 02:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
E

K represents the perimeter of a quadrilateral which is 4 times * side (since it's a square). Therefore, answer choice needs to be @ multiple of 4.

Posted from my mobile device
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 28 Apr 2026
Posts: 22,291
Own Kudos:
26,546
 [1]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,291
Kudos: 26,546
 [1]
In an empty square field, n rows of n trees are planted so that the wh 06 Oct 2020, 04:09
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In an empty square field, n rows of n trees are planted so that the whole field is filled with trees. If k of these trees lie along the boundary of the field, which of the following is a possible value for k?

A. 14

B. 49

C. 86

D. 125

E. 276
Show more
Solution:

The number of trees that lie along the boundary is k = 2n + 2n - 4 where 4 is the number of trees at the corners of the field (note: we need to subtract 4 because the 4 trees at the corners are counted twice).

We see that k = 2n + 2n - 4 = 4n - 4 = 4(n - 1) is a multiple of 4 and since the only multiple of 4 in the given choices is 276, then 276 is the correct answer.

Answer: E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,986
Own Kudos:
1,119
Posts: 38,986
Kudos: 1,119
In an empty square field, n rows of n trees are planted so that the wh 24 Mar 2024, 14:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109950 posts
Krunaal
Tuck School Moderator
852 posts