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

It is currently 24 Oct 2014, 16:49

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

A bottle, full of olive oil (light grey) and balsamic

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1269
Location: Madrid
Followers: 23

Kudos [?]: 132 [0], given: 0

A bottle, full of olive oil (light grey) and balsamic [#permalink] New post 11 Aug 2006, 10:24
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A bottle, full of olive oil (light grey) and balsamic vinegar (dark grey), is made from two right cylinders whose radii are in the ratio 5:2. Currently, when the bottle is standing on its larger base, the depth of the oil is x cm. If the bottle is inverted and the contents allowed to settle , the depth of the oil will rise to y cm. What is the height of the bottle in centimeters terms of x and y?
Attachments

Oil and Vinegar.doc [28 KiB]
Downloaded 67 times

To download please login or register as a user

Senior Manager
Senior Manager
User avatar
Joined: 05 Mar 2006
Posts: 348
Followers: 1

Kudos [?]: 5 [0], given: 0

 [#permalink] New post 11 Aug 2006, 10:43
H = (4/9) (25x/4 - y)

If this is the answer, I can explain.
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1269
Location: Madrid
Followers: 23

Kudos [?]: 132 [0], given: 0

 [#permalink] New post 11 Aug 2006, 11:18
Explain how you got the answer- whether it's right or wrong, it may help others!
CEO
CEO
User avatar
Joined: 20 Nov 2005
Posts: 2922
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 15

Kudos [?]: 82 [0], given: 0

 [#permalink] New post 11 Aug 2006, 11:44
Phew!!! Its time consuming but not difficult. If I encounter such question in real thing, I will answer it in at max 30 seconds and move on.

To solve equate the volumes of vinegar and olive oil when bottle is upright and when upside down.

If I have not made the calculation mistakes then

Height = (54x+25y)/29
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
Senior Manager
User avatar
Joined: 05 Mar 2006
Posts: 348
Followers: 1

Kudos [?]: 5 [0], given: 0

 [#permalink] New post 11 Aug 2006, 12:03
let:

r1 = radius of smaller cylinder
r2 = radius of larger cylinder
h1 = height of smaller cylinder
h2 = height of larger cylinder

x = height of oil from one large cylinder base
y = height of oil after you turn it upside down

V1 = Volume from larger bottom
V2 = Volume from smaller bottom

Given:

r2/r1 = 5/2

h1+h2 = H

Find Volume from both sides

V1 = pi*h1*r1^2 + pi*(x-h1)*r2^2

V2 = pi*h2*r2^2 + pi*(y-h2)*r1^2

since V1 = V2

and r2/r1 = 5/2

with some manipulation u get:

H = (4/9)(25x/4 - y)
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1269
Location: Madrid
Followers: 23

Kudos [?]: 132 [0], given: 0

 [#permalink] New post 11 Aug 2006, 21:58
The easiest thing to do is focus on the red wine vinegar!
Senior Manager
Senior Manager
avatar
Joined: 21 Jun 2006
Posts: 289
Followers: 1

Kudos [?]: 18 [0], given: 0

 [#permalink] New post 12 Aug 2006, 12:24
Seems right... but I'm still struggling to understand it.
Isn't is as simple as r1^2*h1=r2^2*x?
  [#permalink] 12 Aug 2006, 12:24
    Similar topics Author Replies Last post
Similar
Topics:
1 The quality of unrefined olive oil is not actually defined x97agarwal 4 02 Aug 2008, 20:08
2 The quality of unrefined olive oil is not actually defined 12345678 8 25 Sep 2007, 03:53
1 A bottle is 80% full. The liquid inside the bottle consists Ravshonbek 3 09 Aug 2007, 15:10
Jar A contains a mixture of lemon juice and olive oil in a 7 kevincan 1 09 Jul 2006, 01:32
The quality of unrefined olive oil is not actually defined chunjuwu 6 27 Mar 2005, 01:25
Display posts from previous: Sort by

A bottle, full of olive oil (light grey) and balsamic

  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®.