Last visit was: 22 Apr 2026, 19:17 It is currently 22 Apr 2026, 19:17
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: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,672
 [9]
Given Kudos: 105,823
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: 109,754
Kudos: 810,672
 [9]
Three vessels A, B and C of capacity 120 litres each contain a mixture 04 Aug 2022, 01:30
1
Kudos
Add Kudos
8
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:

95% (hard)

Question Stats:

49% (03:15) correct 51% (03:59) wrong based on 72 sessions

History

Date
Time
Result
Not Attempted Yet
Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?

A. 4/5
B. 9/10
C. 84/83
D. 28/27
E. 23/22


Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
C
User avatar
ThatDudeKnows
User avatar
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,070
Own Kudos:
1,030
 [2]
Given Kudos: 79
Expert
Expert reply
Posts: 1,070
Kudos: 1,030
 [2]
Three vessels A, B and C of capacity 120 litres each contain a mixture 04 Aug 2022, 08:41
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?

A. 4/5
B. 9/10
C. 84/83
D. 28/27
E. 23/22

Show more

Starting case:
A has 100 total: 65 alcohol, 35 spirit.
B has 60 total: 42 alcohol, 18 spirit.
C has 80 total: 60 alcohol, 20 spirit.

We pour 60 from A to B. Of that 60, 65% (or 39) is alcohol and 21 is spirit.
A now has 40 total: 26 alcohol and 14 spirit.
B now has 120 total: 81 alcohol, 39 spirit.

We pour 40 from B to C. Of that 40, 81/120 is alcohol, so 81/3=27 is alcohol and 13 is spirit.
B now has 80 total: 54 alcohol and 26 spirit.
C now has 120 total: 87 alcohol and 33 spirit.

We pour 80 from C into A and 40 from C into B, so A gets 2/3rds (58 alcohol and 22 spirit) and B gets 1/3 (29 alcohol and 11 spirit).
A now has 84 alcohol and 36 spirit.
B now has 83 alcohol and 37 spirit.

Alcohol in A : alcohol in B
84:83

Answer choice C.
User avatar
abhinavchitre13
User avatar
Joined: 22 May 2022
Last visit: 14 Jun 2024
Posts: 28
Own Kudos:
22
Given Kudos: 64
Location: India
GPA: 2.3
Posts: 28
Kudos: 22
Three vessels A, B and C of capacity 120 litres each contain a mixture 05 Aug 2022, 12:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Great question !!!

Posted from my mobile device
User avatar
sevenfive
User avatar
Joined: 29 Aug 2023
Last visit: 01 Sep 2025
Posts: 21
Own Kudos:
10
 [3]
Given Kudos: 53
GMAT Focus 1: 715 Q88 V85 DI84
GMAT Focus 1: 715 Q88 V85 DI84
Posts: 21
Kudos: 10
 [3]
Three vessels A, B and C of capacity 120 litres each contain a mixture 22 Jan 2024, 07:36
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Alcohol and Spirit are in this quantity
A - 65 | 35
B - 42 | 18
C - 60 | 20

Total Alcohol - 167
Only Option C has ratios which divides 167
So Option C
User avatar
samarpan.g28
User avatar
Joined: 08 Dec 2023
Last visit: 18 Feb 2026
Posts: 315
Own Kudos:
136
Given Kudos: 1,236
Location: India
Concentration: General Management, Human Resources
Schools: IIMA '26 Schulich Sept '26 Montreal '26 HEC Sept '26
GPA: 8.88
WE:Engineering (Technology)
Schools: IIMA '26 Schulich Sept '26 Montreal '26 HEC Sept '26
Posts: 315
Kudos: 136
Three vessels A, B and C of capacity 120 litres each contain a mixture 24 Jan 2024, 13:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?

A. 4/5
B. 9/10
C. 84/83
D. 28/27
E. 23/22


Are You Up For the Challenge: 700 Level Questions
Show more

I calculated all the way, it took me 10 minutes to get (C) as the answer, Bunuel please help with a time-saving approach.
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 22 Apr 2026
Posts: 5,985
Own Kudos:
5,858
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,985
Kudos: 5,858
Three vessels A, B and C of capacity 120 litres each contain a mixture 30 Mar 2025, 04:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B.

What is the ratio of alcohol in vessels A and B ?

Vessel A:
Total = 100 litres
Alcohol = 65%*100 =65 litres

Vessel B:
Total = 50%*120 = 60 litres
Alcohol = 70%*60 = 42litres

Vessel C:
Total = 80 litres
Alcohol = 80-20 = 60 litres
% alcohol = 60/80 =0.75 = 75%

Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled.

Vessel A:
Total = 100-60 =40 litres
Alcohol = 65% of 40 L= 26 litres

Vessel B:
Total = 60+60= 120 litres
Alcohol = 42 + (65-26) = 81 litres
Alcohol % = 81/120=0.675 = 67.5%

Then the mixture from vessel B is poured into vessel until C is completely filled.

40 litres of vessel B is poured in vessel C

Vessel B:
Total = 120-40= 80 litres
Alcohol = 81/120*80=54 litres

Vessel C:
Total = 80+40=120 litres
Alcohol = 60 + (81-54) = 87 litres
% alcohol = 87/120=0.725 = 72.5%

Now the entire mixture from vessel C is poured into the vessels A and B.

Vessel A:
Total = 40+ 80= 120litres
Alcohol = 26+ 87/120*80 =84 litres

Vessel B:
Total = 80+40=120 litres
Alcohol = 54+87/120*40=83 litres

the ratio of alcohol in vessels A and B = 84/83

IMO C
Moderators:
Bunuel
Math Expert
109754 posts
Krunaal
Tuck School Moderator
853 posts