Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Jul 2014, 16:28

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The weight of an iron bucket increases by 33.33% when filled

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 19 Aug 2009
Posts: 82
Followers: 1

Kudos [?]: 34 [0], given: 46

The weight of an iron bucket increases by 33.33% when filled [#permalink] New post 26 Aug 2009, 02:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

20% (00:00) correct 80% (01:15) wrong based on 5 sessions
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
[Reveal] Spoiler: OA
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 Jun 2009
Posts: 360
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 5

Kudos [?]: 94 [1] , given: 60

GMAT Tests User
Re: Percentage again [#permalink] New post 26 Aug 2009, 02:47
1
This post received
KUDOS
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.
Director
Director
avatar
Joined: 23 Apr 2010
Posts: 584
Followers: 2

Kudos [?]: 23 [0], given: 7

Re: Percentage again [#permalink] New post 08 Sep 2010, 02:29
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.
1 KUDOS received
Current Student
User avatar
Status: What's your raashee?
Joined: 12 Jun 2009
Posts: 1847
Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
WE: Programming (Computer Software)
Followers: 22

Kudos [?]: 194 [1] , given: 52

GMAT Tests User Reviews Badge
Re: Percentage again [#permalink] New post 08 Sep 2010, 05:55
1
This post received
KUDOS
virtualanimosity wrote:
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
_________________

If you like my answers please +1 kudos!

Director
Director
User avatar
Joined: 13 Aug 2009
Posts: 538
Followers: 10

Kudos [?]: 65 [0], given: 46

GMAT Tests User
Re: Percentage again [#permalink] New post 08 Sep 2010, 06:05
shaselai wrote:
virtualanimosity wrote:
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

Hey thanks a lot. My algebra is not that strong, your explanation a lot more sense to me!

Thanks,
Dawgie
_________________

It's a dawg eat dawg world.

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18705
Followers: 3237

Kudos [?]: 22283 [0], given: 2611

Re: Percentage again [#permalink] New post 08 Sep 2010, 06:18
Expert's post
virtualanimosity wrote:
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).
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Director
Director
avatar
Joined: 23 Apr 2010
Posts: 584
Followers: 2

Kudos [?]: 23 [0], given: 7

Re: Percentage again [#permalink] New post 09 Sep 2010, 00:55
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.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18705
Followers: 3237

Kudos [?]: 22283 [0], given: 2611

Re: Percentage again [#permalink] New post 09 Sep 2010, 00:59
Expert's post
nonameee wrote:
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.


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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Director
Director
avatar
Joined: 23 Apr 2010
Posts: 584
Followers: 2

Kudos [?]: 23 [0], given: 7

Re: Percentage again [#permalink] New post 09 Sep 2010, 02:50
Bunuel, thanks a lot. I got it.
Re: Percentage again   [#permalink] 09 Sep 2010, 02:50
    Similar topics Author Replies Last post
Similar
Topics:
When the total weight of a shipment is increased, it is vtran 2 02 Jul 2013, 22:17
What is the remainder when 43^43+ 33^33 is divided by 10 bmwhype2 7 04 Jan 2008, 13:17
An empty box weighs 10% of its total weight when filled with Caas 2 26 May 2007, 00:04
A green bucket and a blue bucket are each filled to capacity scoobee 1 17 Sep 2004, 06:37
1 A green bucket and a blue bucket are each filled to capacity rahul 5 09 Aug 2004, 10:50
Display posts from previous: Sort by

The weight of an iron bucket increases by 33.33% when filled

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.