Last visit was: 23 Apr 2026, 04:05 It is currently 23 Apr 2026, 04:05
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: 23 Apr 2026
Posts: 109,774
Own Kudos:
810,744
 [2]
Given Kudos: 105,853
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: 109,774
Kudos: 810,744
 [2]
On a weekend, 6 college friends went skiing and evenly split the cost 13 Apr 2016, 05:30
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

89% (00:56) correct 11% (01:12) wrong based on 149 sessions

History

Date
Time
Result
Not Attempted Yet
On a weekend, 6 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?

A. $126
B. $156
C. $218
D. $648
E. $1,728
ShowHide Answer
Official Answer
C
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 22 Apr 2026
Posts: 11,229
Own Kudos:
44,998
 [2]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 44,998
 [2]
On a weekend, 6 college friends went skiing and evenly split the cost 13 Apr 2016, 20:49
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
On a weekend, 6 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?

A. $126
B. $156
C. $218
D. $648
E. $1,728
Show more


Evenly distributing within 6 friends MEANS the Total should be a multiple of 6..

All choices are EVEN, so lets check for Div by 3..
A. $126 ... 1+2+6 = 9... YES
B. $156 ... 1+5+6 = 12... YES
C. $218 ... 2+1+8 = 11... NO ... ANSWER
D. $648 ... 6+4+8 = 18... YES
E. $1,728... 1+7+2+8 = 18... YES

ans C
User avatar
rhine29388
User avatar
Joined: 24 Nov 2015
Last visit: 21 Oct 2019
Posts: 386
Own Kudos:
146
Given Kudos: 231
Location: United States (LA)
Products:
My Reviews
Posts: 386
Kudos: 146
On a weekend, 6 college friends went skiing and evenly split the cost 10 May 2016, 13:28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Condition states that amount paid by each of the 6 persons for the cost of the cabin is an integer amount
Clearly we have to check for divisibility by 6 in all five answer choices
126 = 6 * 21 Yes so eliminate
156 = 6 * 26 Yes so eliminate
218 = 6 * 36.3333 clearly not divisible so correct answer
648 = 6 * 108 Yes so eliminate
1728 = 6 * 288 Yes so eliminate
correct answer - C
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,448
 [1]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,448
 [1]
On a weekend, 6 college friends went skiing and evenly split the cost 15 Apr 2020, 10:02
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
On a weekend, 6 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?

A. $126
B. $156
C. $218
D. $648
E. $1,728
Show more

If the total cost is divisible by 6, then each of the 6 friends will pay an integer amount.

Take answer choice A ($126) for example.
126 is divisible by 6
$126/6 = $31
So, each person pays an integer amount ($31 each)
ELIMINATE A

The question is basically asking us to find the answer choice that is NOT divisible by 6

CONCEPT #1: A number is divisible by 6 if that number is divisible by 2 AND by 3
We can see that all 5 answer choices are divisible by 2.

CONCEPT #2: A number is divisible by 3 if the SUM OF THE DIGITS of that number is divisible by 3
Take answer choice B ($156) for example.
The sum of the digits = 1 + 5 + 6 = 12
Since 12 is divisible by 3, we can conclude that 156 is divisible by 3
ELIMINATE B

Answer choice C ($218)
The sum of the digits = 2 + 1 + 8 = 11
Since 11 is NOT divisible by 3, we can conclude that 218 is NOT divisible by 3
If 218 is NOT divisible by 3, then 218 is also NOT divisible by 6

Answer: C

Cheers,
Brent
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 22 Apr 2026
Posts: 22,278
Own Kudos:
26,529
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: 22,278
Kudos: 26,529
On a weekend, 6 college friends went skiing and evenly split the cost 17 Apr 2020, 04:28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
On a weekend, 6 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?

A. $126
B. $156
C. $218
D. $648
E. $1,728
Show more

We are looking for a number that is not divisible by 6, i.e., a number not divisible by both 2 and 3. Since all the given numbers are even, they are divisible by 2. So we are looking for a number that is not divisible by 3.

Recall that a number is divisible by 3 if the sum of its digits is divisible by 3. Looking at the choices, we see that the sum of the digits of 218 is 2 + 1 + 8 = 11, which is not divisible by 3. So 218 is not divisible by 6, either.

Answer: C
Moderators:
Bunuel
Math Expert
109774 posts
Krunaal
Tuck School Moderator
853 posts