It is currently 21 Jan 2018, 20:30

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A small beaker is 1/3 filled with salt water. Another beaker, which ha

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 29 Jan 2011
Posts: 334
A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 19 Jun 2011, 14:50
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

84% (01:22) correct 16% (00:43) wrong based on 62 sessions

HideShow timer Statistics

A small beaker is 1/3 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/4 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?

A. 7/12
B. 7/24
C. 17/24
D. 17/60
E. 19/60
[Reveal] Spoiler: OA

Last edited by siddhans on 20 Jun 2011, 21:28, edited 1 time in total.
Senior Manager
Senior Manager
avatar
Joined: 29 Jan 2011
Posts: 334
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 19 Jun 2011, 14:58
Let T(S) be the total capacity of small beaker
Let T(L) be the total capacity of large beaker



T(L)/T(S) = 5 ------------(1)

Small beaker filled = 1/3 T(S)

Large Beaker filled = 1/4 T(L)

After dumping small beaker into large beaker =>
1/3 T(S) + 1/4 T(L) = [ (1/3) (1/5) T(L) ] + 1/4 T(L) = 19/60 T(L)

Hence E
Intern
Intern
avatar
Joined: 18 Jun 2011
Posts: 13
WE: Information Technology (Investment Banking)
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 20 Jun 2011, 05:36
1
This post was
BOOKMARKED
1/3*1/5+1/4
=1/15+1/4
=15+4/60
=19/60
Senior Manager
Senior Manager
avatar
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 310
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 23 Sep 2011, 11:29
Small = 1/3
Big = 1/4

S = 5B

small = 1/3 =5B => 1/15

1/15 + 1/ 4 = 19/60 ...
_________________

I'm the Dumbest of All !!

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 703
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 23 Sep 2011, 18:25
Its kind of implied that small beaker has only salt water which is 1/3 of its total capacity and
large beaker has only fresh water which is 1/4 of its total capacity.


Let capacity of the small beaker be C .
=> capacity of the large beaker = 5C (given)

=> salt water in the small beaker = C/3
fresh water in the large beaker = (5C)/4


After dumping all of the salt water from the small beaker into the large beaker,
the fraction to which large beaker will be filled = ((5C)/4 + C/3 ) / (5C)
= 19/60

Answer is E.
Senior Manager
Senior Manager
avatar
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 310
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 17 Oct 2011, 16:47
shrive555 wrote:
Small = 1/3
Big = 1/4

S = 5B

small = 1/3 =5B => 1/15

1/15 + 1/ 4 = 19/60 ...


There is another question from 'Veritas prep" I Tried in the same way but got it wrong. Question is
Jar X =1/6 full of water. Jar Y , which has half the capacity of jar X is 1/2 full . if the content of jar X is poured into jar Y . Jar Y will be filled to what fraction of its capacity.

X= 1/6
Y= 1/2
Also Y=X/2 => 1/12 ( since X=1/6)

1/2 +1/12 = 7/12

OA =
[Reveal] Spoiler:
5/6


:roll: whats the difference between two questions ?
_________________

I'm the Dumbest of All !!

1 KUDOS received
Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 186
Location: United States
GMAT 1: 700 Q49 V35
GMAT ToolKit User
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 17 Oct 2011, 19:51
1
This post received
KUDOS
shrive555 wrote:
shrive555 wrote:
Small = 1/3
Big = 1/4

S = 5B

small = 1/3 =5B => 1/15

1/15 + 1/ 4 = 19/60 ...


There is another question from 'Veritas prep" I Tried in the same way but got it wrong. Question is
Jar X =1/6 full of water. Jar Y , which has half the capacity of jar X is 1/2 full . if the content of jar X is poured into jar Y . Jar Y will be filled to what fraction of its capacity.

X= 1/6
Y= 1/2
Also Y=X/2 => 1/12 ( since X=1/6)

1/2 +1/12 = 7/12

OA =
[Reveal] Spoiler:
5/6


:roll: whats the difference between two questions ?


The difference between two Qs is that in the first one we are moving water from small jar to big jar. In your question water is moved from big jar to small jar.

JAR X is double the size of JAR Y so if we are moving water from JAR X to Y we need to multiply by 2.

Soln:

Jar X = 1/6 filled
To get the volume in terms of Y , we need to multiply 1/6 with 2 since the JAR X is double the size of JAR Y.

so in terms of Y, X's volume = (1/6)*2 = 2/6 =1/3

Now to know the amount of water in JAR Y = 1/2+1/3 = 5/6
_________________

-------------------------------------

Study Buddy Forum Moderator
avatar
P
Joined: 04 Sep 2016
Posts: 585
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 25 Dec 2017, 05:52
niks18 amanvermagmat Bunuel

couple of queries in solution by shrive555

Quote:
Small = 1/3
Big = 1/4

S = 5B

small = 1/3 =5B => 1/15

1/15 + 1/ 4 = 19/60 ..


Should it not be B = 5 * S

Also for solution provided by Spidy001
Quote:
fresh water in the large beaker = (5C)/4


Should it not be 5 * (C/3) * 1/4 ie 5C/12 ??

We are given that Another beaker (ie bigger one), which has five times the capacity of the small beaker, is 1/4 filled with fresh water.
_________________

Press kudos if you liked this post

PS Forum Moderator
avatar
P
Joined: 25 Feb 2013
Posts: 827
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 25 Dec 2017, 06:06
adkikani wrote:
niks18 amanvermagmat Bunuel

couple of queries in solution by shrive555

Quote:
Small = 1/3
Big = 1/4

S = 5B

small = 1/3 =5B => 1/15

1/15 + 1/ 4 = 19/60 ..


Should it not be B = 5 * S

Also for solution provided by Spidy001
Quote:
fresh water in the large beaker = (5C)/4


Should it not be 5 * (C/3) * 1/4 ie 5C/12 ??

We are given that Another beaker (ie bigger one), which has five times the capacity of the small beaker, is 1/4 filled with fresh water.


Hi adkikani,

Just a small suggestion, for these kind of fraction related questions it's Easiest to solve through SMART NUMBERS rather than algebra.

so here we have fractions \(\frac{1}{3}\) & \(\frac{1}{4}\), so let's assume capacity of small beaker be \(12\) (LCM of 3 & 4)

So capacity of Large beaker \(= 12*5=60\)

Small is filled till \(12*\frac{1}{3}=4\) units and large is filled till \(60*\frac{1}{4}=15\) units.

So when contents of small beaker is poured in large beaker, it's total content will be \(= 4+15=19\) units.

Hence fraction filled \(= \frac{19}{60}\)

Now coming to your question - I do not see any problem with Spidy001's solution. Can you explain why you think it should be C/3 and not C?

with shrive555's solution, I think the notation is wrong but somehow he/she has got the right answer ;)
Study Buddy Forum Moderator
avatar
P
Joined: 04 Sep 2016
Posts: 585
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 25 Dec 2017, 06:18
niks18

Thanks for your quick response.

Quote:
Now coming to your question - I do not see any problem with Spidy001's solution. Can you explain why you think it should be C/3 and not C?


Large beaker is 5 times capacity of small beaker(given)

Since capacity of small beaker is C, and it is C/3 filled so Capacity of large beaker is 5C/3. Since large beaker is only 1/4 filled,
I got (5C/3) * 1/4 ie 5C/12.
_________________

Press kudos if you liked this post

1 KUDOS received
PS Forum Moderator
avatar
P
Joined: 25 Feb 2013
Posts: 827
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 25 Dec 2017, 06:27
1
This post received
KUDOS
adkikani wrote:
niks18

Thanks for your quick response.

Quote:
Now coming to your question - I do not see any problem with Spidy001's solution. Can you explain why you think it should be C/3 and not C?


Large beaker is 5 times capacity of small beaker(given)

Since capacity of small beaker is C, and it is C/3 filled so Capacity of large beaker is 5C/3. Since large beaker is only 1/4 filled,
I got (5C/3) * 1/4 ie 5C/12.


Hi,

the highlighted portion is not correct. Large beaker's capacity is 5 times that of small's. So as you mentioned that small's capacity is C so large's has to be 5C.

The question does not say that Large beaker's capacity if 5 times the filled capacity or contents of small beaker's. In that case because small is filled till C/3 so large's capacity would have been 5C/3.

I guess you are confused with the language of the question, kindly re-read the question slowly :-)
Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 884
A small beaker is 1/3 filled with salt water. Another beaker, which ha [#permalink]

Show Tags

New post 25 Dec 2017, 14:39
siddhans wrote:
A small beaker is 1/3 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/4 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?

A. 7/12
B. 7/24
C. 17/24
D. 17/60
E. 19/60


small beaker will fill (1/3)/5=1/15 of large beaker
1/15+1/4=19/60
E
A small beaker is 1/3 filled with salt water. Another beaker, which ha   [#permalink] 25 Dec 2017, 14:39
Display posts from previous: Sort by

A small beaker is 1/3 filled with salt water. Another beaker, which ha

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.