Last visit was: 17 May 2026, 20:24

It is currently 17 May 2026, 20:24

Toolkit

Practice Tests

Quantitative Questions

Problem Solving (PS)

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

Request Expert Reply

Confirm Cancel

May 18
GMAT Quiz #17 - Live GMAT Practice Covering Quant, Verbal, RC, & Data Insights
10:00 AM PDT
-
11:00 AM PDT
Join us in a live GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
May 12
Summer savings start now on Manhattan Prep Courses!
12:00 PM EDT
-
11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products. Ends 6/1
May 15
$320 Off on GMAT Focus - Get to 735+ from any starting point
01:00 PM IST
-
11:00 AM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.
May 19
How Ashutosh Scored 329 on the GRE by Keeping the Prep Simple
12:00 PM PDT
-
01:00 PM PDT
Scoring 329 on the GRE is not always about using more books, more courses, or a longer study plan. In this episode of GRE Success Talks, Ashutosh shares his GRE preparation strategy, study plan, and test-day experience, explaining how he kept his prep....
Jun 10
MBA Spotlight Fair
06:00 AM PDT
-
06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..

Back to Forum

Create Topic

12 Days of Christmas GMAT Competition - Day 4: A 12-liter mixture of

1 2 3 4 5

sushanth21

Joined: 09 Nov 2024

Last visit: 15 Jan 2026

Posts: 82

Own Kudos:

[1]

Given Kudos: 3

Posts: 82

Kudos: 69

[1]

19 Dec 2024, 11:27

Kudos

Bookmarks

D
1:3 ratio of apple and carrot
x + 3x = 12 litre

apple 3 litre
carrot 9 litre

asking us to find the amount of juice to be replaced with apple juice to make the ratio 3:1

which means 9 litre of apple and 3 litre of carrot.

lets assume x litres were removed and x litres of apple is added
then
by the 1:3 ratio, x/4 of the apple will be removed from the mixture before adding the apple juice.

3 - x/4 + x = 9
3 + 3x/4 = 9
x = 8

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

A 12-liter mixture of apple juice and carrot juice contains apple juice and carrot juice in a 1:3 ratio by volume. What amount of the mixture, by volume, should be replaced with an equal amount of apple juice to change the ratio of apple juice to carrot juice to 3:1 by volume ?

A. 3
B. 4
C. 6
D. 8
E. 10

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

Elite097

Joined: 20 Apr 2022

Last visit: 08 May 2026

Posts: 735

Own Kudos:

570

[1]

Given Kudos: 337

Location: India

Schools: Sloan '25 Columbia '27 Haas '27

GPA: 3.64

Schools: Sloan '25 Columbia '27 Haas '27

Posts: 735

Kudos: 570

[1]

19 Dec 2024, 11:49

Kudos

Bookmarks

A 12-liter mixture of apple juice and carrot juice contains apple juice and carrot juice in a 1:3 ratio by volume. What amount of the mixture, by volume, should be replaced with an equal amount of apple juice to change the ratio of apple juice to carrot juice to 3:1 by volume ?

A. 3
B. 4
C. 6
D. 8
E. 10

Mixture. Apple juice only
25%. 100%
75%
25. 50

25:50=1:2= Mixture: Apple only
Hence 1 part of mixture is mixed with 2 parts of apple juice only hence 2/3*12=8 litres is replaced

Ans D

Om8981

Joined: 03 Feb 2023

Last visit: 08 Feb 2026

Posts: 13

Own Kudos:

[1]

Location: India

Concentration: Operations, Human Resources

GPA: 3.29

Posts: 13

Kudos: 7

[1]

19 Dec 2024, 12:24

Kudos

Bookmarks

Let us assume that X ltr juice is removed and X ltr of apple juice is added. in the initial solution, we have a 3Lt apple juice and 9 ltr of carrot juice,

ATP,

[3-.25X+X][/9-.75X] = [3][/1]

solving the equation results in 8Ltr.

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

HansikaSachdeva

Joined: 17 May 2024

Last visit: 22 Dec 2025

Posts: 60

Own Kudos:

[1]

Given Kudos: 143

Location: India

Concentration: Social Entrepreneurship, Sustainability

Posts: 60

Kudos: 65

[1]

19 Dec 2024, 12:33

Kudos

Bookmarks

Total volume = 12L
Apple juice : Carrot juice = 1 : 3

Volume of apple juice = 1/4 * 12 = 3L
Volume of carrot juice = 3/4 * 12 = 9L

Since the ratio is 1 : 3, the juice removed will also be in the same ratio
For ease of calculation, we can assume that the removed juice is a multiple of 4

If 4L is replaced,

In the juice mixture that is removed, 1L Apple juice and 3L Carrot juice will be removed,
Remaining Apple juice = 2L
Remaining Carrot juice = 6L

4L Apple juice is added, making the total 6L
This will make the ratio 1:1

If 8L is replaced,

In the juice mixture that is removed, 2L Apple juice and 6L Carrot juice will be removed,
Remaining Apple juice = 1L
Remaining Carrot juice = 3L

8L Apple juice is added, making the total 9L
This will make the ratio 3:1

Invincible_147

Joined: 29 Sep 2023

Last visit: 06 May 2026

Posts: 72

Own Kudos:

[1]

Given Kudos: 166

GMAT Focus 1: 575 Q77 V81 DI78 Verified score

Posts: 72

Kudos: 64

[1]

19 Dec 2024, 12:38

Kudos

Bookmarks

Hi All,

Given that in 12 litres of mixure , Apple juice to carrot juice is 1:3

there no Apple juice in litres= 1/4 x 12= 3

Similarily carrot juice = 3/4 x 12 = 9

We need to take out the mixture and then put apple juice so that the mixture ration for apple and carrot juice changes to 3:1

As we can see if we take out N litres of mixture, to find out how many of apple juice and carrot juice taken out we need to divide it by 4 and then multiply accordingly.

So we first analyze those options that are divisible by 4

Option B) if we take out 4 litres (1 litre AJ and 3 ltrs CJ) , left (2 ltrs AJ and 6 ltrs CJ)

adding 4 litres of AJ in the mixture would make it (6 ltrs of AJ and 6 ltrs of CJ) basically ratio will 1:1. Therefore not our answer

Options D)

if we take out 8 litres (2 litre AJ and 6 ltrs CJ) , left (1 ltrs AJ and 3 ltrs CJ)

adding same 8 litres of AJ in the mixture would make it (9 ltrs of AJ and 3 ltrs of CJ) basically ratio will 3:1.

Hence D is our answer

missionmba2025

Joined: 07 May 2023

Last visit: 07 Sep 2025

Posts: 341

Own Kudos:

433

[1]

Given Kudos: 50

Location: India

Posts: 341

Kudos: 433

[1]

19 Dec 2024, 12:43

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

Let's assume x liters of juice is replace with x liters of apple juice

Volume of apple juice in the resultant mixture = $\frac{12 - x }{ 4} + x $

Volume of carrot juice in the resultant mixture = $\frac{ 3(12 - x) }{ 4} $

We know -

$\frac{\frac{12-x}{4} + x}{\frac{36 - 3x}{4}} = \frac{3}{1}$

$\frac{12 + 3x}{36-3x} = \frac{3}{1}$

12 + 3x = 36*3 - 9x

12x = (36 * 3) - 12

12x = 12(9 - 1)

x = 8

Option D

GoblinCurse

Joined: 08 Dec 2024

Last visit: 05 Sep 2025

Posts: 1

Own Kudos:

[1]

Given Kudos: 2

Posts: 1

Kudos: 1

[1]

19 Dec 2024, 13:03

Kudos

Bookmarks

Given the initial ratio and the desired one.

1: 3; apple:carrot juice

we can infer that apple juice is 1/4*12 = 3 liters
carrot juice is the remaining 9 litres

And we’d want to alter this ratio and volumes to a 3:1 ratio

thus removing x liters containing 1/4 of apple juice and 3/4 of carrot juice

3/1 = (3 - x/4) / (9 - 3x/4)

Solving for x, we get x = 8 (D)

buzz111

Joined: 23 Sep 2022

Last visit: 01 Dec 2025

Posts: 22

Own Kudos:

Given Kudos: 47

Location: United States (CA)

Schools: Marshall

GPA: 3.93

Schools: Marshall

Posts: 22

Kudos: 9

19 Dec 2024, 13:08

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

Answer C. 6

A:C is 1:3 or C = 3A
Since 12L A=3 C=9

Convert to A:C 3:1 or A = 3C
Opposite A 3+6=9 and C 9-6 = 3
So Remove 6 C and add 3 A

Eswar69

Joined: 12 Jun 2024

Last visit: 24 Mar 2026

Posts: 36

Own Kudos:

[1]

Given Kudos: 14

Posts: 36

Kudos: 41

[1]

19 Dec 2024, 13:24

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

12L mixture is present - Apple Juice : Carrot Juice is in the ratio 1:3
x + 3x = 12; x = 3

Apple Juice = 3L
Carrot Juice = 9L
Total = 12L

Required - Apple Juice : Carrot Juice in the ratio 3:1

If 8L of the mixture is removed and replaced with 8L Apple juice

Remaining 4L of mixture will contain: 4/4=1
Apple 1L and Carrot 3L

+ 8L of Apple juice = 9L of Apple juice and 3L of Carrot juice

Apple Juice : Carrot Juice = 9:3
Which is 3:1 by volume

[D] is the correct answer.

OmerKor

Joined: 24 Jan 2024

Last visit: 20 Jan 2026

Posts: 127

Own Kudos:

152

[1]

Given Kudos: 150

Location: Israel

GMAT Focus 1: 675 Q85 V82 DI83 Verified score

Posts: 127

Kudos: 152

[1]

19 Dec 2024, 13:25

Kudos

Bookmarks

Hi everyone

straightforward.

	Apple	Carrot	Total
Ratio	1x	3x	4x
Numbers	3	9	12
	25%	75%	100%
[?]	3x	1x	12-[?]

We are dealing with weighted averages (My approach):

apple	Numbers	Percent
Our old Mix	12-x	25%
New Mix	12	75%
Adding Apple	x	100%

Equation: 0.25(12-x)+x=0.75(12)
3-0.25x+x=9
x=8 Our Answer (D)

mpp01

Joined: 13 Dec 2024

Last visit: 08 Jun 2025

Posts: 49

Own Kudos:

[1]

Given Kudos: 9

Location: Spain

Posts: 49

Kudos: 48

[1]

19 Dec 2024, 14:36

Kudos

Bookmarks

Ratio of apple j to orange j = 1x:3x, we will convert it to fractions to make it easier so this means that apple juice = 1/4 of T and 3/4 of T will be orange juice.

Now given T = 12 L
Apple j = 3
Orange j = 9

Altering the ratio eliminating the mixted juice --> 3:1 apple to orange with a fraction of 3/1
3 - x/4 = new amount of apple juice = 3
9 - 3x/4 = 1

Solving for both equations x = 8 ANSWER (D)

andreagonzalez2k

Joined: 15 Feb 2021

Last visit: 26 Jul 2025

Posts: 307

Own Kudos:

503

[1]

Given Kudos: 14

Posts: 307

Kudos: 503

[1]

19 Dec 2024, 16:37

Kudos

Bookmarks

a=liters of apple juice
c=liters of carrot juice
x=liters we replace

a:c=1:3 -> There are 3 liters of apple juice and 9 liters of carrot juice in the mixture. There are 0.25x liters of apple y x liters of mixture.

a:c=3:1 -> a:(a+c)=3:4

(3-0.25x+x)/12=3/4
3+0.75x=9
0.75x=6
x=8

IMO D

houston1980

Joined: 30 May 2017

Last visit: 13 Dec 2025

Posts: 225

Own Kudos:

2,314

[1]

Given Kudos: 2,274

Location: United States

Schools: HBS '22

GMAT 1: 690 Q50 V33 Verified score

GRE 1: Q168 V164 Verified score

GPA: 3.57

Schools: HBS '22

GMAT 1: 690 Q50 V33 Verified score

GRE 1: Q168 V164 Verified score

Posts: 225

Kudos: 2,314

[1]

19 Dec 2024, 17:30

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

I tested the options. Only Option D gives me the right answer.
Original volume: Apple juice Carrot juice
3 liter 9 liter

After Removal of 8 liter from the mixture

Apple juice Carrot juice
1 liter 3 liter

After adding 8 liter of Apple to the mixture

Apple juice Carrot juice
9 liter 3 liter

Therefore option D (8) is the answer.

AVMachine

Joined: 03 May 2024

Last visit: 26 Mar 2026

Posts: 190

Own Kudos:

154

[1]

Given Kudos: 40

Posts: 190

Kudos: 154

[1]

19 Dec 2024, 18:49

Kudos

Bookmarks

T = 12; A:C = 1:3; X+3X = 12; X = 3; A=3, B = 9

Asked to Make it A:C = 3:1; by replacing some solution with pure apple solution. This means the final carrot solution will remain the same.

So first remove some solution such that carrot solution becomes the desired one.

A:C = 3:1; In a 12-liter solution this means that C would be 3 Liter

Now Replace the solution with pure apple so that the remaining solution will have 3 liters of carrot. Currently, the ratio is A:C = 1:3, which means that if the remaining solution is 4 liters, this ratio can be maintained.

So now 12-4=8 Liter be replaced with pure apple solution.

MinhChau789

Joined: 18 Aug 2023

Last visit: 12 Apr 2026

Posts: 132

Own Kudos:

140

[1]

Given Kudos: 2

Posts: 132

Kudos: 140

[1]

19 Dec 2024, 18:59

Kudos

Bookmarks

A 12-liter mixture of apple juice and carrot juice contains apple juice and carrot juice in a 1:3 ratio by volume. That means we have 3 liters of apple and 9 liters of carrot.

To achieve the ratio of apple juice to carrot juice to 3:1 by volume, we need to have 9 liters of apple and 3 liters of carrot.

That means we need to first remove an amount of juice so that carrot goes from 9 to 3, which is 6 liters of carrot. Since the original ratio of apple to carrot is 1:3, that would be equivalent to 2 liters of apple. So in total we need to remove 6 carrot + 2 apple = 8 liters.

Answer: 8

Navya442001

Joined: 26 Jan 2024

Last visit: 17 Nov 2025

Posts: 67

Own Kudos:

[1]

Given Kudos: 1

Products:

Posts: 67

Kudos: 72

[1]

19 Dec 2024, 20:45

Kudos

Bookmarks

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

The total mixture is 12 liters with apple juice:carrot juice in a 1:3 ratio. So, there are 3 liters of apple juice and 9 liters of carrot juice.

If x liters of the mixture are replaced with pure apple juice. When x liters are removed, the removed mixture contains (1/4)x liters of apple juice and (3/4)x liters of carrot juice.
After replacing x liters with pure apple juice:

Apple juice becomes 3 - (1/4)x + x
Carrot juice becomes 9 - (3/4)x

To achieve a 3:1 ratio:
{3 - (1/4)x + x}/{ 9 - (3/4)x} = 3/1
x = 8
Thus, 8 liters should be replaced.

Suyash1331

Joined: 01 Jul 2023

Last visit: 20 Oct 2025

Posts: 120

Own Kudos:

[1]

Given Kudos: 22

Location: India

Schools: IIMA '26 IIM IIM Calcutta '26 Judge '26 ISB '27 Said '27

GMAT Focus 1: 575 Q65 V70 DI70 Verified score

GMAT 1: 250 Q20 V34 Verified score

GPA: 7

Products:

Schools: IIMA '26 IIM IIM Calcutta '26 Judge '26 ISB '27 Said '27

GMAT Focus 1: 575 Q65 V70 DI70 Verified score

GMAT 1: 250 Q20 V34 Verified score

Posts: 120

Kudos: 64

[1]

19 Dec 2024, 21:05

Kudos

Bookmarks

12L mix: 3L apple juice + 9L carrot juice (1:3 ratio)
let the amount of mix removed be x
hence x is also the amount of apple juice added.
Since the final ratio is 3:1, lets put all this in equation
(3- x/3 + x)/(9- 4x/3) = $\frac{3}{1}$
Solving the equation we get the answer 8

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

Prakhar9802

Joined: 07 Aug 2023

Last visit: 15 Apr 2026

Posts: 63

Own Kudos:

Given Kudos: 1

Posts: 63

Kudos: 68

19 Dec 2024, 22:26

Kudos

Bookmarks

Total mixture = 12L
Ratio = 1:3

Let the quantities of Apple and Carrot juice be 1x and 3x.

So,
1x + 3x = 12
4x = 12
x=3

Therefore, Apple juice =3L
Carrot Juice = 9L

Now,

Let the quantity removed be Y
As per the question, if we add Y litres of Apple juice in place of Y litres of mixture, we are basically adding Y litres of apple juice and subtracting this Y from Carrot juice to make the ratio 3:1.
So,

(3+Y)/(9-Y) = 3/1

1*(3+Y) = 3*(9-Y)
3+Y = 27-3Y
4Y = 24
Y = 6

Therefore,
If we remove 6 Litres of mixture and replace it with 6 litres of apple juice, our ratio will become 3:1.

FINAL ANSWER - Option C

Bunuel

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

bellsprout24

Joined: 05 Dec 2024

Last visit: 29 Mar 2026

Posts: 57

Own Kudos:

[1]

Given Kudos: 2

Posts: 57

Kudos: 85

[1]

19 Dec 2024, 22:35

Kudos

Bookmarks

Answer is D. 8

In the 12 liter mixture there are currently 3 liters of apple and 9 liters of carrot. To invert the ratio we need 9 liters of apple and 3 liters of carrot. However, we cannot simply take out 6 liters of the mixture and replace it all with apple because it's not all carrot. If we take out 8 liters of the mixture, then we are taking out 2 liters of apple and 6 liters of carrot. There are 4 liters remaining, consisting of 1 liter of apple and 3 liters of carrot. Then, we can replace the 8 liters with all apple juice, giving us 9 liters of apple and 3 liters of carrot.

Karanjotsingh

Joined: 18 Feb 2024

Last visit: 03 Oct 2025

Posts: 139

Own Kudos:

[1]

Given Kudos: 362

Location: India

Concentration: Finance, Entrepreneurship

Posts: 139

Kudos: 95

[1]

19 Dec 2024, 22:48

Kudos

Bookmarks

Initial Quantities:
- Total mixture: 12 liters.
- The ratio of apple juice to carrot juice: is 1:3.
- Apple juice: 1/4 × 12 = 3 liters.
- Carrot juice: 3/4 × 12 = 9 liters.
Replacement Process:
- Let x liters of the mixture be replaced with x liters of apple juice.
- When x liters of the mixture are removed:
  - Apple juice removed: 1/4x liters.
  - Carrot juice removed: 3/4x liters.
- After replacement:
  - Apple juice: 3 − 1/4x + x = 3 + 3/4x liters.
  - Carrot juice: 9 − 3/4x liters.
Desired Ratio:
- The new ratio of apple juice to carrot juice should be 3:1.
- Set up the equation:
  (3 + 3/4x)/(9 − 3/4x) = 3/1
- Solving for x:
  3 + 3/4x = 27 − 9/4x
  12/4x = 24
  3x = 24
  x=8