It is currently 11 Dec 2017, 16:09

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

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135268 [0], given: 12679

12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink]

Show Tags

New post 19 May 2016, 03:05
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (01:12) correct 12% (01:26) wrong based on 59 sessions

HideShow timer Statistics

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
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135268 [0], given: 12679

1 KUDOS received
Intern
Intern
avatar
Joined: 07 May 2016
Posts: 26

Kudos [?]: 5 [1], given: 1

12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink]

Show Tags

New post 19 May 2016, 03:54
1
This post received
KUDOS
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

Kudos [?]: 5 [1], given: 1

Current Student
User avatar
Joined: 18 Oct 2014
Posts: 903

Kudos [?]: 454 [0], given: 69

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+

Kudos [?]: 454 [0], given: 69

Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 966

Kudos [?]: 301 [0], given: 41

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

Kudos [?]: 301 [0], given: 41

Manager
Manager
User avatar
B
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 177

Kudos [?]: 8 [0], given: 14

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.

Kudos [?]: 8 [0], given: 14

VP
VP
User avatar
G
Status: Learning
Joined: 20 Dec 2015
Posts: 1088

Kudos [?]: 89 [0], given: 562

Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: 314 Q157 V157
GPA: 3.4
WE: Manufacturing and Production (Manufacturing)
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
_________________

We are more often frightened than hurt; and we suffer more from imagination than from reality

Kudos [?]: 89 [0], given: 562

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  


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®.