Four cups of milk are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle? (A) 2/3 (B) 7/3 (C) 5/2 (D) 8/3 (E) 3

Last visit was: 18 Nov 2025, 21:10

It is currently 18 Nov 2025, 21:10

Toolkit

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

Nov 22
GMAT RC Masterclass
11:00 AM IST
-
01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
Nov 23
Conquer Algebra on the GMAT Focus Edition
11:00 AM IST
-
01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.
Nov 25
Try OnDemand GMAT Masterclass
10:00 AM EST
-
11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.

Back to Forum

Create Topic

Four cups of milk are to be poured into a 2-cup bottle and

1 2

nikiki

Joined: 07 May 2023

Last visit: 18 Nov 2025

Posts: 56

Own Kudos:

[1]

Given Kudos: 89

Location: India

Posts: 56

Kudos: 57

[1]

19 Mar 2025, 02:53

Kudos

Bookmarks

the question says the bottles have to be filled with same fraction of its capacity,
so let that fraction be 1/x

2 cup bottle quantity = 2/x
4 cup bottle quantity = 4/x

2/x + 4/x = 4
==> x=3/2

4 cup bottle will have 4/x = 8/3 cups of milk.

vikalpjain91

Joined: 16 Jul 2023

Last visit: 18 Nov 2025

Posts: 6

Given Kudos: 20

Posts: 6

Kudos: 0

06 Jul 2025, 05:14

Kudos

Bookmarks

Wow! Lets say if we have one bottle of 3 cup and another bottle of 8 cup, and if we need to divide the 7 cup milk with equal fraction than it would be (8/11)*7 = 56/11. Really straight forward approach. Big Thanks.

KarishmaB

nvgroshar

No doubt, the answer is 8/3. The problem is how to do it practically?
I mean, just take a cup and try to fill 2/3 of it with milk.

I am a big fan of trying to solve most GMAT questions orally.
Look at it this way:
I have four cups of milk. I also have a 2 cup bottle and a 4 cup bottle. When will they have the same fraction of capacity? Since 4 cup bottle's capacity if twice of 2 cup bottle's capacity, they will have the same fraction when 4 cup bottle has twice the milk contained in 2 cup bottle. So we just have to divide the 4 cups of milk in the ratio 1:2 and give two parts to the 4 cup bottle.
So (2/3)* 4 = 8/3

Note: If they had given that the milk to be poured is 3 cups, you would have automatically said that we should put 1 cup and 2 cups in 2 cup bottle and 4 cup bottle respectively. They give such numbers to make the question a little harder.