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

It is currently 14 Aug 2018, 16:23

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

When 8 steel cubes, each with edge of length 1 inch, are dropped into

  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: 47898
When 8 steel cubes, each with edge of length 1 inch, are dropped into  [#permalink]

Show Tags

New post 10 Dec 2017, 23:21
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

59% (01:13) correct 41% (00:24) wrong based on 32 sessions

HideShow timer Statistics

When 8 steel cubes, each with edge of length 1 inch, are dropped into a cylindrical jar that is partially filled with water, the water level rises 1 inch, and water covers the eight cubes. A ninth steel cube with edge of length x inches is dropped into the jar, and the water rises another 1 inch, covering all nine cubes. What is the value of x?

(A) 8
(B) 6
(C) 4
(D) 3
(E) 2

_________________

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

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3030
Location: India
GPA: 3.12
Premium Member
When 8 steel cubes, each with edge of length 1 inch, are dropped into  [#permalink]

Show Tags

New post 10 Dec 2017, 23:35
Bunuel wrote:
When 8 steel cubes, each with edge of length 1 inch, are dropped into a cylindrical jar that is partially filled with water, the water level rises 1 inch, and water covers the eight cubes. A ninth steel cube with edge of length x inches is dropped into the jar, and the water rises another 1 inch, covering all nine cubes. What is the value of x?

(A) 8
(B) 6
(C) 4
(D) 3
(E) 2


Displacement of water caused by the 8 cubes with length 1 inch will be equal
to the displacement caused by the cube with length x inch.

This displacement of 1 inch water rising is caused by the change in volume
caused by the 8 cubes, which has a volume of \(1^3\) each.
The total change in volume is \(8*1^3 = 8\). For a similar displacement
to be caused by a cube of length x inch, the volume of this cube must be 8.

Therefore, \(x^3 = 8\) --> \(x = 2\)(Option E)
_________________

You've got what it takes, but it will take everything you've got

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8184
Location: Pune, India
Re: When 8 steel cubes, each with edge of length 1 inch, are dropped into  [#permalink]

Show Tags

New post 11 Dec 2017, 03:04
1
Bunuel wrote:
When 8 steel cubes, each with edge of length 1 inch, are dropped into a cylindrical jar that is partially filled with water, the water level rises 1 inch, and water covers the eight cubes. A ninth steel cube with edge of length x inches is dropped into the jar, and the water rises another 1 inch, covering all nine cubes. What is the value of x?

(A) 8
(B) 6
(C) 4
(D) 3
(E) 2



Note:

Water level rises 1 inch in both cases and in both cases, all cubes are completely immersed. This means equal amount of water is displaced in both cases. Since water is displaced because of the volume of the cubes,

Volume of eight cubes = Volume of the ninth cube

8 * 1*1*1 = x*x*x

x = 2 inches
_________________

Karishma
Veritas Prep GMAT Instructor

Save up to $1,000 on GMAT prep through 8/20! Learn more here >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Re: When 8 steel cubes, each with edge of length 1 inch, are dropped into &nbs [#permalink] 11 Dec 2017, 03:04
Display posts from previous: Sort by

When 8 steel cubes, each with edge of length 1 inch, are dropped into

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

Events & Promotions

PREV
NEXT


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®.