Last visit was: 21 Apr 2026, 06:46 It is currently 21 Apr 2026, 06:46
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
MoshiSenpai
User avatar
Joined: 26 Mar 2022
Last visit: 11 Apr 2023
Posts: 8
Own Kudos:
73
 [67]
Given Kudos: 12
Location: India
Posts: 8
Kudos: 73
 [67]
120 people responded to a survey asking which type of vacation they Updated on: 11 Aug 2022, 02:38
Originally posted by MoshiSenpai on 11 Aug 2022, 00:39.
Last edited by Bunuel on 11 Aug 2022, 02:38, edited 3 times in total.
Kudos
Add Kudos
67
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

85% (hard)

Question Stats:

59% (02:50) correct 41% (03:02) wrong based on 485 sessions

History

Date
Time
Result
Not Attempted Yet
120 people responded to a survey asking which type of vacation they prefer: city visits, ski trips, or beach holidays. No two trips were ranked equally by any of the respondents. If 55% of the respondents ranked beach holidays first, 25% ranked ski trips ahead of beach holidays, and 30% ranked city visits ahead of beach holidays, how many ranked beach holidays last?

(A) 6
(B) 12
(C) 24
(D) 30
(E) 54
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
demawtf
User avatar
Joined: 18 Mar 2024
Last visit: 20 Apr 2026
Posts: 55
Own Kudos:
88
 [12]
Given Kudos: 549
GMAT Focus 1: 425 Q68 V75 DI70
GMAT Focus 2: 495 Q75 V74 DI75
Products:
GMAT Club Tests
GMAT Focus 2: 495 Q75 V74 DI75
Posts: 55
Kudos: 88
 [12]
120 people responded to a survey asking which type of vacation they 22 Oct 2024, 11:03
8
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
Total who did not rank beach holidays first=People who ranked ski trips ahead of beach holidays+People who ranked city visits ahead of beach holidays−People who ranked both higher.

54 = 30 + 36 - x

x=12

55%*120 =66 --> (120 - 66 = 54 )
General Discussion
User avatar
MoshiSenpai
User avatar
Joined: 26 Mar 2022
Last visit: 11 Apr 2023
Posts: 8
Own Kudos:
73
Given Kudos: 12
Location: India
Posts: 8
Kudos: 73
120 people responded to a survey asking which type of vacation they 11 Aug 2022, 00:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATNinja I apologize beforehand if this question was not intended to be shared from the youtube video.

I had trouble with the explanation provided by Charles in the youtube video and was amazed to find that this question hasn't been posted on gmat club.

Charles mentions an alternative solution which mentions intuition to determine the entity being double counted and arrives at 10% of total people somehow. I was unable to understand the logic behind that conclusion and would really appreciate a detailed explanation behind the same.
User avatar
vinhtc
User avatar
Joined: 08 Aug 2022
Last visit: 29 Apr 2023
Posts: 1
Own Kudos:
5
 [5]
Posts: 1
Kudos: 5
 [5]
120 people responded to a survey asking which type of vacation they 12 Aug 2022, 09:06
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
55% put the beach at the top => 45% left
there are 3 cases in 45% is the beach in the middle and the beach at the end
25%+30% =55% => 55%-45% =10% => there is 10% beach at the end => there are 120 people => 12 people
User avatar
ThatDudeKnows
User avatar
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,070
Own Kudos:
1,030
 [4]
Given Kudos: 79
Expert
Expert reply
Posts: 1,070
Kudos: 1,030
 [4]
120 people responded to a survey asking which type of vacation they 12 Aug 2022, 09:38
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
MoshiSenpai
120 people responded to a survey asking which type of vacation they prefer: city visits, ski trips, or beach holidays. No two trips were ranked equally by any of the respondents. If 55% of the respondents ranked beach holidays first, 25% ranked ski trips ahead of beach holidays, and 30% ranked city visits ahead of beach holidays, how many ranked beach holidays last?

(A) 6
(B) 12
(C) 24
(D) 30
(E) 54
Show more

See attached.

55% ranked B first. That's 66 people. That leaves 54 people who ranked B either second or third. Since we are asked for the number who ranked B third, let's make B3 = x. That means B2 = 54-x.

What does B2 mean? It means that that number of people ranked exactly one of either C or S ahead of B. So 54-x rankings had exactly one of C or S ahead of B.
What does B3 mean? It means that that number of people ranked both C and S ahead of B. If x people ranked both C and S ahead of B, 2x rankings were ahead of B.

25% ranked S>B. That's 30 rankings. 30% ranked C>B. That's 36 rankings.

54-x+2x = 30+36
54+x = 66
x = 12

Answer choice B.
Attachments

Picture4.png
Picture4.png [ 3.94 KiB | Viewed 13600 times ]

User avatar
maximilius491
User avatar
Joined: 01 May 2023
Last visit: 12 Dec 2025
Posts: 18
Own Kudos:
19
Given Kudos: 53
Location: Canada
Schools: Said '27 (A) IESE '27 (A) Judge '26 (II)
GMAT Focus 1: 645 Q86 V82 DI78
GPA: 3.2
Schools: Said '27 (A) IESE '27 (A) Judge '26 (II)
GMAT Focus 1: 645 Q86 V82 DI78
Posts: 18
Kudos: 19
120 people responded to a survey asking which type of vacation they 14 Jun 2024, 09:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total respondents: 120.
55% ranked beach holidays (B) first.

Calculate the number of people who ranked B first:
0.55×120=66
Therefore, 66 people ranked B first.

Remaining Respondents:
The remaining respondents did not rank B first:
120−66=54
These 54 people ranked B either second or third.


Define Variables:
Let B3=x represent the number of people who ranked B third.

Consequently,
B2=54−x represents the number of people who ranked B second.
Interpretation of B2 and B3:
B2 means these people ranked exactly one of either city visits (C) or ski trips (S) ahead of B.
B3 means these people ranked both C and S ahead of B. Hence, if x people ranked B third, 2x rankings were ahead of B (one for C and one for S).
Given Percentages:

25% ranked S ahead of B:
0.25×120=30
30% ranked C ahead of B:
0.30×120=36
Formulating the Equation:
Combine the rankings for S and C ahead of B:
30+36=66
Now, the number of people who ranked B second plus twice the number of people who ranked B third should equal 66 (total number of rankings ahead of B):
B2+2x=66
Substitute B2 54−x:
54−𝑥+2𝑥=66
54−x+2x=66
Simplify the equation:
54+x=66
x=66−54
x=12

​
User avatar
madkilla07
User avatar
Joined: 26 Mar 2024
Last visit: 21 Oct 2025
Posts: 13
Own Kudos:
26
 [1]
Given Kudos: 108
Location: India
Schools: Kellog '27 (I)
Schools: Kellog '27 (I)
Posts: 13
Kudos: 26
 [1]
120 people responded to a survey asking which type of vacation they 14 Jun 2024, 10:13
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
MoshiSenpai
GMATNinja I apologize beforehand if this question was not intended to be shared from the youtube video.

I had trouble with the explanation provided by Charles in the youtube video and was amazed to find that this question hasn't been posted on gmat club.

Charles mentions an alternative solution which mentions intuition to determine the entity being double counted and arrives at 10% of total people somehow. I was unable to understand the logic behind that conclusion and would really appreciate a detailed explanation behind the same.
Show more
­55% have ranked ski holidays first. So 45% have it ranked 2nd or third.
If people lave ranked ski holidays over beach it can be S,B,C or C,S,B or S,C,B.
If people lave ranked City hikes over beach it can be C,B,S or C,S,B or S,C,B.

Now we can see we have over counted for people ranking beach last as it occurs in the last 2 cases where beach is ranked last. Therefore the extra 10% or 12 people. 
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,944
Own Kudos:
1,116
Posts: 38,944
Kudos: 1,116
120 people responded to a survey asking which type of vacation they 23 Oct 2025, 05:49
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
109724 posts
Krunaal
Tuck School Moderator
853 posts