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

It is currently 03 Sep 2015, 20:27
GMAT Club Tests

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 grocer is storing soap boxes in cartons that measure 25

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 05 Jun 2012
Posts: 25
WE: Marketing (Retail)
Followers: 0

Kudos [?]: 11 [0], given: 0

A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 03 Apr 2013, 06:33
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (02:05) correct 19% (01:06) wrong based on 150 sessions
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?

A. 210
B. 252
C. 280
D. 300
E. 420
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Apr 2013, 07:04, edited 1 time in total.
Renamed the topic and edited the question.
1 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1125
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 149

Kudos [?]: 1488 [1] , given: 219

GMAT ToolKit User
Re: Soap boxes in a carton [#permalink] New post 03 Apr 2013, 06:43
1
This post received
KUDOS
deepri0812 wrote:
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?

A -210
B - 252
C - 280
D -300
E-420


Area of the box = \(25*42*60=63000\)
Area of one soap = \(7*6*5=210\)
Tot number = \(\frac{63000}{210}=300\)

You have to calculate the area of the box, then divide it by the area of one soap, and you ll find the number of soaps that will fit into the box
D
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Intern
Intern
avatar
Joined: 15 Jan 2013
Posts: 39
Concentration: Finance, Operations
GPA: 4
Followers: 0

Kudos [?]: 20 [0], given: 6

Re: Soap boxes in a carton [#permalink] New post 03 Apr 2013, 06:52
deepri0812 wrote:
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?

A -210
B - 252
C - 280
D -300
E-420


Please suggest the method to solve such problems.


Maximum number of soap boxes that can be placed in each carton = Volume of each carton/ volume of each box
= (25*42*60)/(7*6*5)= 300(option D)
Intern
Intern
avatar
Joined: 05 Jun 2012
Posts: 25
WE: Marketing (Retail)
Followers: 0

Kudos [?]: 11 [0], given: 0

Re: Soap boxes in a carton [#permalink] New post 03 Apr 2013, 07:28
Zarrolou wrote:
deepri0812 wrote:
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?

A -210
B - 252
C - 280
D -300
E-420


Area of the box = \(25*42*60=63000\)
Area of one soap = \(7*6*5=210\)
Tot number = \(\frac{63000}{210}=300\)

You have to calculate the area of the box, then divide it by the area of one soap, and you ll find the number of soaps that will fit into the box
D


Thanks Zarrolou for quick reply.

I am getting confused between volume approach as done by you and my thought process:

Think about lining up the dimensions of the small boxes along the dimensions of the carton so that you can fill the carton with no wasted space. Since one edge of the small box is 7 inches, that edge of the small boxes should be placed along the side of the carton that is 42 inches long, since 42 is the only dimension that can be divided by 7 evenly. Thus you can put six small boxes along that side, but if you do that 6*6 soap boxes will have width 36 which would be greater than 25 & will exceed the carton width. so how can we just divide the volume of the carton & the soap's volume.

Or am I thinking too much :( ??
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1125
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 149

Kudos [?]: 1488 [0], given: 219

GMAT ToolKit User
Re: Soap boxes in a carton [#permalink] New post 03 Apr 2013, 08:20
I guess you are thinking too muck :)
For example you say:
"Since one edge of the small box is 7 inches, that edge of the small boxes should be placed along the side of the carton that is 42 inches long, since 42 is the only dimension that can be divided by 7 evenly."
Are you sure? I mean, what you say isn't wrong, but is not correct either (if we want to answer this particular question). On a side of 42 you can place 6 soaps on their "7-side"(6*7=42) or 2 soaps on their "6-side" and 6 soaps on their "5 side"(6*2+6*5=42). You can also rotate those soaps...
The correct approach is also the simplest in this case.

Hope it's clear
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Manager
Manager
User avatar
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 30

Kudos [?]: 156 [0], given: 73

Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 16 Apr 2013, 08:24
The answer works in this case... what if the dimension of the soap box was 6 7 8... This approach would fail then?
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index ... nprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

Manager
Manager
User avatar
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 30

Kudos [?]: 156 [0], given: 73

Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 16 Apr 2013, 08:50
I'm not convinced... need some experts to help here....

I think the final answer should also include some sort of surface area calculations as well.

Hear my logic out

you have a box which is 42 60 25.. The best way to fit the soap box is 7 6 8

So you are going to have an array of 42/7=6 by 60/6=10 = 60 boxes

Now in 25 8 can only go 3 times

So total no of boxes that can be filled is 60x3=180
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index ... nprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

Senior Manager
Senior Manager
User avatar
Joined: 23 Jan 2013
Posts: 379
Schools: Cambridge'16
Followers: 2

Kudos [?]: 33 [0], given: 33

CAT Tests
Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 15 Nov 2014, 07:44
Much easier if we use fraction:

25*42*60/5*7*6=5*6*10=300


D
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1859
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 26

Kudos [?]: 1070 [0], given: 193

Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 23 Nov 2014, 17:59
Answer = D

\(\frac{25*42*60}{5*7*6} = 5*6*10 = 300\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
User avatar
Joined: 03 Jan 2015
Posts: 68
Concentration: Strategy, Marketing
WE: Research (Pharmaceuticals and Biotech)
Followers: 0

Kudos [?]: 11 [0], given: 224

GMAT ToolKit User
Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 23 Feb 2015, 06:23
Hi all,

Can anyone please help me out. Following is how I thought:

Cartoon LBH = 25 * 42 * 60

Box LBH = 5 * 7 * 6

One layer of boxes in cartoon = (5*2)*(4*2) = 80
For H of 60, we can have 10 such layers. Hence # of boxes = 800

TO
Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3509
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 149

Kudos [?]: 943 [0], given: 57

Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 23 Feb 2015, 12:56
Expert's post
Hi thorinoakenshield,

To maximize the number of boxes that we can put in this carton, we have to use as much of (if not all of) the space in the carton. Thus, we have to "orient" the boxes in such a way that we use up all of the space in the carton.

The carton's dimensions are 25 x 42 x 60 and each box has dimensions of 5 x 6 x 7

To maximize the number of boxes, I'm going to "line up" the 5 with the 25 and the 7 with the 42.

25/5 = 5 and 42/7 = 6, so the "bottom layer" of boxes will be 30 boxes.

Now the 6 will "line up" with the 60. 60/6 = 10, so we'll have 10 layers of 30 boxes...and all of carton will be completely full.

(10)(30) = 300 boxes.

Final Answer:
[Reveal] Spoiler:
D


GMAT assassins aren't born, they're made,
Rich
_________________

Official Guide 2016 Question Breakdown:
http://gmatclub.com/forum/empowergmat-blog-198415.html#p1527977

Rich Cohen
Rich.C@empowergmat.com
http://www.empowergmat.com

GMAT Club Verified Reviews for EMPOWERgmat & Special Discount

EMPOWERgmat Podcast - A Wild Secret About The GMAT Algorithm


SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1859
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 26

Kudos [?]: 1070 [0], given: 193

Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 23 Feb 2015, 17:53
thorinoakenshield wrote:
Hi all,

Can anyone please help me out. Following is how I thought:

Cartoon LBH = 25 * 42 * 60

Box LBH = 5 * 7 * 6

One layer of boxes in cartoon [color=#ff0000]= (5*2)*(4*2) = 80

For H of 60, we can have 10 such layers. Hence # of boxes = 800

TO[/color]


As shown in my earlier post, you just have to divide the Carton LBH by box LBH

\(= \frac{25}{5} * \frac{42}{7} * \frac{60}{6} = 5*6*10 = 300\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
avatar
Joined: 07 Feb 2015
Posts: 52
Followers: 0

Kudos [?]: 13 [0], given: 76

Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 24 Feb 2015, 08:41
the answer is (D) 300
however the process of dividing the volume of box by the volume of a soap seems flawed but it does work in this case due to the numbers
Dimensions of the box =25*42*60
Dimensions of the soap = 5*6*7
placing the 7 inch side along 42 inch side we get 6 soaps in a line and in a similar way 5 along 25 and 6 along 60
we get = 5x6x10 = 300
so the question is why this particular arrangement, in order to maximize number of soaps we need to minimize the space wasted and this is the only config where we dont waste any space so we can expect the maximum number
_________________

Kudos if it helped you in any way

Intern
Intern
avatar
Joined: 21 Aug 2014
Posts: 44
Location: United States
Concentration: Other, Operations
GMAT 1: 700 Q47 V40
GMAT 2: 690 Q44 V40
WE: Science (Pharmaceuticals and Biotech)
Followers: 0

Kudos [?]: 13 [0], given: 15

GMAT ToolKit User
Re: A grocer is storing soap boxes in cartons that measure 25 [#permalink] New post 24 Feb 2015, 11:17
Zarrolou wrote:
deepri0812 wrote:
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?

A -210
B - 252
C - 280
D -300
E-420


Area of the box = \(25*42*60=63000\)
Area of one soap = \(7*6*5=210\)
Tot number = \(\frac{63000}{210}=300\)

You have to calculate the area of the box, then divide it by the area of one soap, and you ll find the number of soaps that will fit into the box
D


I would just like to comment that in this case this appproach works fine, but in the case that the boxes weren't proportional to the container it would not be as simple as dividing the total volume of the container by the volume of each box. One would have to maximize the boxes that can fit in every direction and then multiply those.
Re: A grocer is storing soap boxes in cartons that measure 25   [#permalink] 24 Feb 2015, 11:17
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic On a store counter are exactly two boxes containing only purple marble rlitagmatstudy 2 18 May 2015, 19:59
10 Experts publish their posts in the topic A baker is storing cake boxes in cartons that measure 25 inches by 42 PareshGmat 8 20 Nov 2014, 01:20
2 Experts publish their posts in the topic In a department store prize box, 40% of the notes give... jlgdr 4 18 Sep 2013, 11:31
11 A box measuring 54 inches long by 36 inches wide by 12 aditi2013 5 19 Nov 2012, 06:33
5 Experts publish their posts in the topic A case contains c cartons. Each carton contains b boxes, and Bunuel 8 23 Jul 2012, 03:30
Display posts from previous: Sort by

A grocer is storing soap boxes in cartons that measure 25

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.