NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 20:38 It is currently 25 Apr 2024, 20:38
Decision Tracker
My Rewards
New posts
New comers' posts

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

PS- Lets see who cracks it.....

User avatar
mdfrahim
Manager
Manager
Joined: 28 Jan 2004
Posts: 94
Own Kudos [?]: 55 [0]
Given Kudos: 4
Location: India
Send PM
PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 04:12
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hide Show timer Statistics
Please show me the right way to do this.

A container contained 80Kg of milk. from this container 8Kg of milk was taken and replaced by water. the process of taking out 8kg of liquid was repeated 2 times. How much milk is now there in the vessel.

A. 54
B. 56
C. 58.32
D. 53.18
E. I m not that smart.....



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
AkamaiBrah
GMAT Instructor
Joined: 07 Jul 2003
Posts: 392
Own Kudos [?]: 468 [0]
Given Kudos: 0
Location: New York NY 10024
Concentration: Finance
Schools:Haas, MFE; Anderson, MBA; USC, MSEE
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 04:42
mdfrahim wrote:
Please show me the right way to do this.

A container contained 80Kg of milk. from this container 8Kg of milk was taken and replaced by water. the process of taking out 8kg of liquid was repeated 2 times. How much milk is now there in the vessel.

A. 54
B. 56
C. 58.32
D. 53.18
E. I m not that smart.....


The way to do this is
1) realize that you remove a "solution" and add "water" which creates a new solution of X% milk.
2) everytime you remove 8kg of the solution, keep track of how much of that solution is milk by multiplying 8kg x X%.
repeat.
3) The amount of milk left is 80kg less that amount you removed.

P.S. strickly speaking, we must assume milk and water have same density.
User avatar
mdfrahim
Manager
Manager
Joined: 28 Jan 2004
Posts: 94
Own Kudos [?]: 55 [0]
Given Kudos: 4
Location: India
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 05:42
Some one please do what Akamiah has suggested. I am not able to get anything..its going toooooo complex.
avatar
johli521
Intern
Intern
Joined: 29 May 2003
Posts: 3
Own Kudos [?]: [0]
Given Kudos: 0
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 08:01
Actually there is no need to calculate it.

8*3 = 24kg milk, so if we pretend that we remove 8kg of milk only three times there will be 56kg milk left. But now we know that some of what we remove will be water so there has to be more than 56kg of milk left.

Which leads us to C as the only possible answer.
User avatar
Paul
CEO
CEO
Joined: 15 Dec 2003
Posts: 2709
Own Kudos [?]: 1538 [0]
Given Kudos: 0
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 08:32
First drain:
8kg of milk taken out. You are left with 72 kg of milk and 8kg of water

Second drain:
The liquid left is with a concentration of 90% (72kg) of milk
Then when you take 8kg out, you are taking 90% milk and 10% water
Therefore, the quantity of milk left will be 72kg * 0.9 = 64.8kg milk after the second drain

Third drain:
Same process. 64.8kg of milk * 0.9 = 58.32kg of milk left
User avatar
kpadma
Senior Manager
Senior Manager
Joined: 03 Jul 2003
Posts: 380
Own Kudos [?]: 451 [0]
Given Kudos: 0
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 08:42
mdfrahim wrote:
Please show me the right way to do this.

A container contained 80Kg of milk. from this container 8Kg of milk was taken and replaced by water. the process of taking out 8kg of liquid was repeated 2 times. How much milk is now there in the vessel.

A. 54
B. 56
C. 58.32
D. 53.18
E. I m not that smart.....


Good Question. But, the Question should be reworded to
".... This process of taking out 8Kg of liquid was repeated 2 *MORE*
times....".

I interpreted the question as taking 8kg liquid only two times.
Did anyone else interpret in the same way?


Interesting question. Keep these kind of questions flooding the forum !
User avatar
Paul
CEO
CEO
Joined: 15 Dec 2003
Posts: 2709
Own Kudos [?]: 1538 [0]
Given Kudos: 0
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 08:51
I agree with you kpadma. It got me confused too as to the number of times the process was repeated. I guess the answer choices gave me the hint.
User avatar
Dharmin
Manager
Manager
Joined: 06 Dec 2003
Posts: 209
Own Kudos [?]: 32 [0]
Given Kudos: 0
Location: India
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 10:08
Ans is C: 58.32

milk left after 3rd operation=(1-8/80)^3 * 80


Cheers, Dharmin
User avatar
stoolfi
Manager
Manager
Joined: 28 Oct 2003
Posts: 246
Own Kudos [?]: 260 [0]
Given Kudos: 0
Location: 55405
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 11:01
kpadma: I agree that the phrasing is suspect, but your correction isn't any better. To be "repeated 2 more times" it must have already been repeated. "Performed two more times" would be the clearest way to ask this.

I know this is PS, not SC, but these little differences are important.
User avatar
kpadma
Senior Manager
Senior Manager
Joined: 03 Jul 2003
Posts: 380
Own Kudos [?]: 451 [0]
Given Kudos: 0
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 11:25
stoolfi wrote:
kpadma: I agree that the phrasing is suspect, but your correction isn't any better. To be "repeated 2 more times" it must have already been repeated. "Performed two more times" would be the clearest way to ask this.

I know this is PS, not SC, but these little differences are important.

Stoolfi: You are most welcome to correct the mistakes!
How else are we going to learn?
User avatar
anandnk
Director
Director
Joined: 30 Oct 2003
Posts: 899
Own Kudos [?]: 373 [0]
Given Kudos: 0
Location: NewJersey USA
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 17:54
I agree with stoolfi about this question. It is not clear whether the diluation occured 2 times or 3 times.
if it occured 2 times then remaining milk is 0.9*0.9 * 80 = 64.8
if it occured 3 times then remaining milk is 0.9*0.9*0.9 * 80 = 58.32

( 8Kg is 10 percent of 80kg so 90% milk remains at each dilution )
User avatar
mdfrahim
Manager
Manager
Joined: 28 Jan 2004
Posts: 94
Own Kudos [?]: 55 [0]
Given Kudos: 4
Location: India
Send PM
Re: PS- Lets see who cracks it..... [#permalink] New post   05 Feb 2004, 22:57
Well...the correct answer is 58.32. Anand the dilution has occured 3 times.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: PS- Lets see who cracks it..... [#permalink]
05 Feb 2004, 22:57
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions