GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 25 Apr 2019, 07:50

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

12 litres of water are poured into an aquarium of dimensions 50cm leng

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54543
12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

Show Tags

New post 19 May 2016, 03:05
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:40) correct 15% (01:24) wrong based on 67 sessions

HideShow timer Statistics

Intern
Intern
avatar
Joined: 07 May 2016
Posts: 26
12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

Show Tags

New post 19 May 2016, 03:54
1
Bunuel wrote:
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)

A. 6
B. 8
C. 10
D. 20
E. 40





we have 1 litre = 1000cm³ (thanks Bunuel)
=>12 litres = 12*1000 = 12000cm³

Let call the height of the water is x
the breadth and length of the water will equal the aquarium
The volume of the water:
50 * 30 * x = 12000cm³
=> x = 12000/(50*30) = 8 cm

Answer is B

Another solution:

Let call the height of the space that doesn't contain water is x

First we must find the volume of the aquarium:
50 * 30 * 40 = 60000 cm³
The volume of the space that doesn't contain water :
60000-12000 = 48000 cm³
The height of the space:
50 * 30 * x = 48000 cm³
=> x = 48000/(50*30) = 32
The height of the water:
the height of the aquarium - x = 40 -32 = 8cm

Answer is B
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 836
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

Show Tags

New post 19 May 2016, 10:45
lXbXh= 12000
h= 12000/50*30= 8 cm

'B' is the answer.
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Director
Director
User avatar
D
Joined: 05 Mar 2015
Posts: 999
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

Show Tags

New post 26 Jun 2016, 06:35
Bunuel wrote:
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)

A. 6
B. 8
C. 10
D. 20
E. 40

Another approach
V1/V2=h1/h2

V1 & h1 are volume and height of container
V2 & h2 are volume and height of water to be filled
60000/12000=40/h2
h2=40/5=8cm
Ans B
Manager
Manager
User avatar
B
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 192
Location: India
Concentration: Finance, International Business
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

Show Tags

New post 04 Sep 2017, 01:30
Sorry can someone please explain the logic behind the concept here because i am not understanding how this 1lt =1000 cm^3 making changes to the answer.
VP
VP
User avatar
D
Status: Learning
Joined: 20 Dec 2015
Posts: 1018
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Reviews Badge CAT Tests
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

Show Tags

New post 04 Sep 2017, 08:01
longhaul123 wrote:
Sorry can someone please explain the logic behind the concept here because i am not understanding how this 1lt =1000 cm^3 making changes to the answer.

Hi to get the height we have to convert liters into cm^3 .
As we know volume is measure in either liters or cm^3 or m^3
So to have LHS=RHS we should have variables in same quantity.

Conversion of liters to cum^3 is
1 Liters = 1000 Cm^3

Hope it helps
_________________
Please give kudos if you found my answers useful
GMAT Club Bot
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng   [#permalink] 04 Sep 2017, 08:01
Display posts from previous: Sort by

12 litres of water are poured into an aquarium of dimensions 50cm leng

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.