Last visit was: 24 Apr 2026, 14:28 It is currently 24 Apr 2026, 14:28
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
virtualanimosity
User avatar
Joined: 19 Aug 2009
Last visit: 12 Apr 2011
Posts: 71
Own Kudos:
1,192
 [9]
Given Kudos: 46
Posts: 71
Kudos: 1,192
 [9]
The weight of an iron bucket increases by 33.33% when filled 26 Aug 2009, 03:30
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:

31% (02:14) correct 69% (02:18) wrong based on 105 sessions

History

Date
Time
Result
Not Attempted Yet
The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket when it is filled with water( assume the weight of bucket and its capacity in kg to be integers?

1. 7 kg
2. 6 kg
3. 5 kg
4. 8 kg
ShowHide Answer
Official Answer
C
User avatar
maliyeci
User avatar
Joined: 23 Jun 2009
Last visit: 04 Nov 2016
Posts: 200
Own Kudos:
250
 [1]
Given Kudos: 80
Location: Turkey
Concentration: Finance and Accounting
Schools:UPenn, UMich, HKS, UCB, Chicago
GMAT 2: 740 Q49 V41
Posts: 200
Kudos: 250
 [1]
The weight of an iron bucket increases by 33.33% when filled 26 Aug 2009, 03:47
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
W=weight of bucket
V=volume of bucket
W + 0,5V = 1,33W
so 0,5V = 0,33W
it wants us (W+V)/2 that is (W + 0,66W)/2= 0,83W But we do not know anything else. So anyone can be. But the sentence in paranthesis gives us a clue. Capacity of bucket and weight of bucket are integer. So W and 0,66W is integer. i.e. W and 2/3W is integer. So we can assume that W is a multiple of 3 (say 3n) . And 0,66 W is a multiple of 2 (say 2n). So they make a multiple of 5 together (3n+2n).
So the answer, IMO, 3.
User avatar
nonameee
User avatar
Joined: 23 Apr 2010
Last visit: 30 Sep 2013
Posts: 475
Own Kudos:
412
 [1]
Given Kudos: 7
Posts: 475
Kudos: 412
 [1]
The weight of an iron bucket increases by 33.33% when filled 08 Sep 2010, 03:29
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel, can you please look at this question? I agree with the solution by maliyeci but I don't think that multiple of 2 + multiple of 3 equals multiple of 5 (eg., 18+4 = 22). Thank you.
User avatar
shaselai
User avatar
Current Student
Joined: 12 Jun 2009
Last visit: 17 Jun 2019
Posts: 1,673
Own Kudos:
405
 [2]
Given Kudos: 52
Status:What's your raashee?
Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
WE:Programming (Computer Software)
Products:
My Reviews
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
Posts: 1,673
Kudos: 405
 [2]
The weight of an iron bucket increases by 33.33% when filled 08 Sep 2010, 06:55
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
virtualanimosity
Q.
The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket when it is filled with water( assume the weight of bucket and its capacity in kg to be integers?

1. 7 kg
2. 6 kg
3. 5 kg
4. 8 kg
Show more

rets try some numbers.
Say IronB = 6 kg EMPTY so filled with 50% water you have a 1/3*6 = 2 kg water weight. so adding the rest of the bucket with water will naturally increase it by another 2kg so you have 2+2+6 = 10 thus 50% of 10 = 5.
Hope it helps
User avatar
Dawgie
User avatar
Joined: 13 Aug 2009
Last visit: 03 Jun 2019
Posts: 492
Own Kudos:
84
Given Kudos: 46
Posts: 492
Kudos: 84
The weight of an iron bucket increases by 33.33% when filled 08 Sep 2010, 07:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shaselai
virtualanimosity
Q.
The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket when it is filled with water( assume the weight of bucket and its capacity in kg to be integers?

1. 7 kg
2. 6 kg
3. 5 kg
4. 8 kg

rets try some numbers.
Say IronB = 6 kg EMPTY so filled with 50% water you have a 1/3*6 = 2 kg water weight. so adding the rest of the bucket with water will naturally increase it by another 2kg so you have 2+2+6 = 10 thus 50% of 10 = 5.
Hope it helps
Show more
Hey thanks a lot. My algebra is not that strong, your explanation a lot more sense to me!

Thanks,
Dawgie
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,067
 [1]
Given Kudos: 105,873
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: 109,818
Kudos: 811,067
 [1]
The weight of an iron bucket increases by 33.33% when filled 08 Sep 2010, 07:18
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
virtualanimosity
Q.
The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket when it is filled with water( assume the weight of bucket and its capacity in kg to be integers?

1. 7 kg
2. 6 kg
3. 5 kg
4. 8 kg
Show more

\(\frac{bucket}{50% \ water}=\frac{3}{1}\) --> \(\frac{bucket}{100% \ water}=\frac{3}{1+1}=\frac{3}{2}\) --> as the weight of bucket and its capacity in kg are integers then the weight of bucket full with water will be a multiple of 3+2=5 (5, 10, 15, 20, ...) --> half of this weight will be 2.5, 5, 7.5, 10, ... Only answer matching this possible values is 5 kg.

Answer: 3 (5 kg).
User avatar
nonameee
User avatar
Joined: 23 Apr 2010
Last visit: 30 Sep 2013
Posts: 475
Own Kudos:
412
Given Kudos: 7
Posts: 475
Kudos: 412
The weight of an iron bucket increases by 33.33% when filled 09 Sep 2010, 01:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Guys, thanks for your explanations but I don't get either.

In shaselai's solution I don't understand if we can pick a different number than 6.

In Bunuel's solution I don't get how he got the first expression.

Thank you.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,067
Given Kudos: 105,873
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: 109,818
Kudos: 811,067
The weight of an iron bucket increases by 33.33% when filled 09 Sep 2010, 01:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nonameee
Guys, thanks for your explanations but I don't get either.

In shaselai's solution I don't understand if we can pick a different number than 6.

In Bunuel's solution I don't get how he got the first expression.

Thank you.
Show more

Given that weight of 50% of water is 1/3 (33.33%) of the weight of bucket --> so if bucket=3, then 50% water=1.
User avatar
nonameee
User avatar
Joined: 23 Apr 2010
Last visit: 30 Sep 2013
Posts: 475
Own Kudos:
412
Given Kudos: 7
Posts: 475
Kudos: 412
The weight of an iron bucket increases by 33.33% when filled 09 Sep 2010, 03:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel, thanks a lot. I got it.
avatar
@nu
avatar
Joined: 03 Sep 2017
Last visit: 03 Sep 2017
Posts: 1
Own Kudos:
2
 [2]
Posts: 1
Kudos: 2
 [2]
The weight of an iron bucket increases by 33.33% when filled 03 Sep 2017, 23:02
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let,the weight of the bucket = x;
So, weight of the bucket when it contains 50% water = (x+x/3)=4x/3 [since, the weight increases by 33.33%]

So when it contains 100% water the weight will be = (4x/3)+(x/3)=5x/3
[As, the weight of 50% water is x/3 other 50% will also be x/3]

Now , the total weight = 5x/3
So , half will be 5x/6
Now according to the qs weight of bucket and its capacity must be integer
so,if we check the options,
5x/6 = 7 (wrong)
5x/6 = 6 (wrong)
5x/6 = 5 (correct,since in that case x will be an integer)
5x/6 = 8 (wrong) so,option 3 is correct

Posted from my mobile device
User avatar
testcracker
User avatar
Joined: 24 Mar 2015
Last visit: 02 Dec 2024
Posts: 199
Own Kudos:
135
Given Kudos: 541
Status:love the club...
Posts: 199
Kudos: 135
The weight of an iron bucket increases by 33.33% when filled 11 Sep 2017, 23:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
virtualanimosity
Q.
The weight of an iron bucket increases by 33.33% when filled with water to 50% of its capacity. Which of these may be 50% of the weight of the bucket when it is filled with water( assume the weight of bucket and its capacity in kg to be integers?

1. 7 kg
2. 6 kg
3. 5 kg
4. 8 kg

\(\frac{bucket}{50% \ water}=\frac{3}{1}\) --> \(\frac{bucket}{100% \ water}=\frac{3}{1+1}=\frac{3}{2}\) --> as the weight of bucket and its capacity in kg are integers then the weight of bucket full with water will be a multiple of 3+2=5 (5, 10, 15, 20, ...) --> half of this weight will be 2.5, 5, 7.5, 10, ... Only answer matching this possible values is 5 kg.

Answer: 3 (5 kg).
Show more

hi

The weight of a bucket increases by 33.33% that is 1/3 when filled with 50% of water, so when filled with 100% of water the wight will increase by 2/3....so far so good ...however, can you please speak few more words about the operation "3+2 = 5"...?

Is this something as such that the ratio of water to bucket is 2:3...so, the water and weight in kg have to be divisible by (2+3), for the condition to hold true that weight and water in kg are integers....?

please say to me whether this is okay .....?

thanks in advance , man ...
User avatar
Regor60
User avatar
Joined: 21 Nov 2021
Last visit: 19 Apr 2026
Posts: 529
Own Kudos:
420
Given Kudos: 462
Posts: 529
Kudos: 420
The weight of an iron bucket increases by 33.33% when filled 30 Dec 2023, 07:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Put each of statements into math.

B = empty bucket weight
C = water weight@100% capacity

First statement:

B + C/2 = 4B/3 or B/3 = C/2 so

C = 2B/3. Since C is an integer, B must be a multiple of 3.

Half the weight of the bucket when it's full is equivalent to:

(B+C)/2 = X = to be determined

Substitute for C from the first statement:

(B+2B/3)/2 = X = 5B/6

Since B is a multiple of 3, in theory X doesn't have to be an integer, but since the only answers are integers, B must be a multiple of 6 for this purpose.

This means X must be a multiple of 5.

Answer 3 is the only answer that is a multiple of 5.

Posted from my mobile device
Moderators:
Bunuel
Math Expert
109818 posts
Krunaal
Tuck School Moderator
853 posts