Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 17 Jul 2019, 09:46

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

M is a rectangular solid. Find the volume of M

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

Hide Tags

Find Similar Topics 
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4487
M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 21 May 2013, 10:11
1
6
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

54% (01:28) correct 46% (01:25) wrong based on 205 sessions

HideShow timer Statistics


M is a rectangular solid. Find the volume of M

Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.

Statement #2: All three dimensions of M are positive integers greater than one.


For more on 3D solids, see:
http://magoosh.com/gmat/2012/gmat-math-3d-solids/
For more on factorization, see:
http://magoosh.com/gmat/2012/gmat-math-factors/

The former has a full solution to this question.

Mike :-)

_________________
Mike McGarry
Magoosh Test Prep


Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Manager
Manager
avatar
Joined: 28 Feb 2012
Posts: 106
Concentration: Strategy, International Business
Schools: INSEAD Jan '13
GPA: 3.9
WE: Marketing (Other)
GMAT ToolKit User
Re: M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 22 May 2013, 22:24
3
2
In such questions i normally try to visualise. From st.1 I draw the solid and assign an area of 28 to one side and 35 to another. Since this is rectangular solid there should be one common side, so there should be one common number between 28 and 35. This number could be anything including integer and non-integer numbers, since there is no restriction according to statement 1 - not sufficient. From statement 2 we know that all the dimentions are integers greater than one, which is again gives us more than one answer - not sufficient.
Combining two answers we are can find out that the only common integer (greater than 1) between 28 and 35 is 7, so we can easily find out that the sides are 4, 5 and 7. The volume of the solid is 4*5*7=140
Answer is C
_________________
If you found my post useful and/or interesting - you are welcome to give kudos!
Manager
Manager
User avatar
S
Joined: 22 Jan 2014
Posts: 173
WE: Project Management (Computer Hardware)
Re: M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 08 Oct 2018, 05:15
mikemcgarry wrote:
M is a rectangular solid. Find the volume of M

Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.

Statement #2: All three dimensions of M are positive integers greater than one.


For more on 3D solids, see:
http://magoosh.com/gmat/2012/gmat-math-3d-solids/
For more on factorization, see:
http://magoosh.com/gmat/2012/gmat-math-factors/

The former has a full solution to this question.

Mike :-)


1) l*b = 28 & l*h = 35
not sufficient

2) (l,b,h) > 1 (+ integers)
not sufficient

1)+2)
l^2*b*h = 28*35 = 2^2*5*7^2
l^2 can be 1 or 2^2 or 7^2 or 2^2*7^2
only possible solution for (l,b,h) is (7,4,5)
_________________
Illegitimi non carborundum.
Manager
Manager
avatar
B
Joined: 15 Nov 2017
Posts: 54
Re: M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 02 Jan 2019, 08:46
Could someone provide further insight into this problem (and how to approach general problems like these)? Thank you!


mikemcgarry wrote:
M is a rectangular solid. Find the volume of M

Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.

Statement #2: All three dimensions of M are positive integers greater than one.


For more on 3D solids, see:
http://magoosh.com/gmat/2012/gmat-math-3d-solids/
For more on factorization, see:
http://magoosh.com/gmat/2012/gmat-math-factors/

The former has a full solution to this question.

Mike :-)
Intern
Intern
avatar
B
Joined: 17 Apr 2017
Posts: 11
M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 02 Jan 2019, 20:47
1
Can dimensions be a negative integer too ?
Manager
Manager
avatar
G
Joined: 29 Nov 2018
Posts: 114
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.99
WE: Engineering (Computer Hardware)
M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post Updated on: 02 Jan 2019, 21:59
1
KHow wrote:
Could someone provide further insight into this problem (and how to approach general problems like these)? Thank you!


mikemcgarry wrote:
M is a rectangular solid. Find the volume of M

Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.

Statement #2: All three dimensions of M are positive integers greater than one.


For more on 3D solids, see:
http://magoosh.com/gmat/2012/gmat-math-3d-solids/
For more on factorization, see:
http://magoosh.com/gmat/2012/gmat-math-factors/

The former has a full solution to this question.

Mike :-)


Hi.
The info as per statement 1 is:
Bottom face of M has an area of 28, which can be expressed as 28 * 1 or 56*0.5 or 280*0.1 or 7*4 and so on.
Top face of M has an area of 35, which can expressed as 35*1 or 70*0.5 or 350*0.1 or 7*5 and so on.

So as per given info the three dimensions of rectangular solid can be 1*28*35 or 7*4*5 or 0.5*56*70 or 0.1*280*350
Both will have different volume. Hence option B is required to rule out everything except 7*4*5

Please give Kudos if you like the explanation.

Originally posted by ruchik on 02 Jan 2019, 21:07.
Last edited by ruchik on 02 Jan 2019, 21:59, edited 1 time in total.
Manager
Manager
avatar
G
Joined: 29 Nov 2018
Posts: 114
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.99
WE: Engineering (Computer Hardware)
Re: M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 02 Jan 2019, 21:10
anmolsd1995 wrote:
Can dimensions be a negative integer too ?


I think you are referring to option B. Option B is required not for negative numbers but for greater than 1. Please look at the explanation in my earlier post.
Intern
Intern
avatar
B
Joined: 01 Jul 2016
Posts: 8
Re: M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 11 Feb 2019, 23:08
please explain , how can dimensions be assumed as negative value?

Solid tends to have positive value, then why option B mentions that it is greater than one/ positive?

can somebody elaborate this please?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56275
Re: M is a rectangular solid. Find the volume of M  [#permalink]

Show Tags

New post 11 Feb 2019, 23:37
1
GmatAssasin24 wrote:
please explain , how can dimensions be assumed as negative value?

Solid tends to have positive value, then why option B mentions that it is greater than one/ positive?

can somebody elaborate this please?


Yes, dimensions must be positive but (2) says that "All three dimensions of M are positive integers greater than one". So, this statement excludes possibilities such as 1/2, 3/4, 5/2, 1, ... So, basically any non-integer values and 1.
_________________
GMAT Club Bot
Re: M is a rectangular solid. Find the volume of M   [#permalink] 11 Feb 2019, 23:37
Display posts from previous: Sort by

M is a rectangular solid. Find the volume of M

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne