What is the number of cans that can be packed in a certain : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 09 Dec 2016, 16:25
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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the number of cans that can be packed in a certain

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

Hide Tags

Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 5

Kudos [?]: 2206 [0], given: 0

What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 07 Dec 2012, 08:53
27
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

62% (01:35) correct 38% (00:33) wrong based on 1073 sessions

HideShow timer Statistics

What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.
[Reveal] Spoiler: OA
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90100 [1] , given: 10413

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 07 Dec 2012, 08:58
1
This post received
KUDOS
Expert's post
7
This post was
BOOKMARKED
What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches. No information about the cans. Not sufficient.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cartons. Not sufficient.

(1)+(2) If the dimensions of the carton are 1 by 1 by 2,304, then zero cylindrical cans can be packed in the carton but if the dimensions of the carton are 12 by 12 by 16, then more than zero cylindrical cans can be packed in the carton. Not sufficient.

Answer: E.
_________________

New to the Math Forum?
Please read this: 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

1 KUDOS received
Director
Director
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 547
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Followers: 3

Kudos [?]: 60 [1] , given: 562

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 04 Jan 2013, 08:21
1
This post received
KUDOS
1
This post was
BOOKMARKED
Bunuel wrote:
What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches. No information about the cans. Not sufficient.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cans. Not sufficient.

(1)+(2) If the dimensions of the carton are 1 by 1 by 2,304, then zero cylindrical cans can be packed in the carton but if the dimensions of the carton are 12 by 12 by 16, then more than zero cylindrical cans can be packed in the carton. Not sufficient.

Answer: E.



If the dimensions had been given instead of volume in 1, it would have been sufficient.
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992

Intern
Intern
avatar
Joined: 09 Jun 2012
Posts: 31
Followers: 0

Kudos [?]: 18 [0], given: 13

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 18 Jul 2013, 02:47
It requires dimensions of the carton and dimenions of the cans in order to determine the number of cans that can be packed into the carton. Since both A and B together doesn't give all of these required dimensions, the answer is E.

For those who like the approach of proving that more than one answer is possible, here is that approach:
Stm A)
Volume of carton is given as 2304.
So sides can be 1*1*2304 or 2*1*1152 leading to more than one answer. Hence insufficient.
Stm B)
Volume of carton can be 1 or 10 or 100. In each case it can accomodate different number of cans leading to more than one answer. Hence insufficient.
Stms A and B Together:
Same explanation given under Stm A holds good. Hence insufficient.
Answer is E.
Intern
Intern
avatar
Joined: 23 Mar 2011
Posts: 30
Followers: 0

Kudos [?]: 4 [0], given: 9

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 18 Jul 2013, 09:52
Bunuel wrote:
What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches. No information about the cans. Not sufficient.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cans. Not sufficient.

(1)+(2) If the dimensions of the carton are 1 by 1 by 2,304, then zero cylindrical cans can be packed in the carton but if the dimensions of the carton are 12 by 12 by 16, then more than zero cylindrical cans can be packed in the carton. Not sufficient.

Answer: E.



Hi Bunuel,

Your statement (2) does not make sense to me. Should it say this instead?
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cans carton. Not sufficient.

My explanation of this problem's solution is:

(1) Not sufficient because you don't have any information about the cans. You would need to know the the volume of each can to figure out how many would "fit" inside the carton.

(2) Not sufficient because you don't have information about the carton these cans are supposed to be packed into.

(1) + (2) Not sufficient because you don't know the exact shape of each can, so it's impossible to calculate the volume in cubic inches. If you knew the shape of the can, i.e. let's say each can is a cylinder shape, then you could use the formula \(v=h\)\(\pi\)\(r^2\) to calculate the volume of each can in cubic inches. Once you found the volume (in this example, the volume would be \(6*(3.14)*2^2\)\(\approx 75.36in^3\)), you can then take the total volume of the carton (\(2,304in^3\)) divided by the volume of each can (\(75.36in^3\)) to figure out that \(\approx 30\) cans could be packed in/would fit inside the carton.

Hope my logic is correct here,

~ Im2bz2p345 :)
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90100 [0], given: 10413

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 18 Jul 2013, 09:56
Im2bz2p345 wrote:
Bunuel wrote:
What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches. No information about the cans. Not sufficient.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cans. Not sufficient.

(1)+(2) If the dimensions of the carton are 1 by 1 by 2,304, then zero cylindrical cans can be packed in the carton but if the dimensions of the carton are 12 by 12 by 16, then more than zero cylindrical cans can be packed in the carton. Not sufficient.

Answer: E.



Hi Bunuel,

Your statement (2) does not make sense to me. Should it say this instead?
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cans carton. Not sufficient.

My explanation of this problem's solution is:

(1) Not sufficient because you don't have any information about the cans. You would need to know the the volume of each can to figure out how many would "fit" inside the carton.

(2) Not sufficient because you don't have information about the carton these cans are supposed to be packed into.

(1) + (2) Not sufficient because you don't know the exact shape of each can, so it's impossible to calculate the volume in cubic inches. If you knew the shape of the can, i.e. let's say each can is a cylinder shape, then you could use the formula \(v=h\)\(\pi\)\(r^2\) to calculate the volume in cubic inches. Once you found the volume (in this example, the volume would be \(6*(3.14)*2^2\)\(\approx 75.36in^3\). You can then take the total volume of the carton (\(2,304in^3\)) divided by the volume of each can (\(75.36in^3\)) to figure out that \(\approx 30\) cans could be packed in/would fit.

Hope my logic is correct here,

~ Im2bz2p345 :)


Wasn't it clear that it was a simple typo? Cans instead of cartons?
_________________

New to the Math Forum?
Please read this: 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

Intern
Intern
avatar
Joined: 23 Mar 2011
Posts: 30
Followers: 0

Kudos [?]: 4 [0], given: 9

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 18 Jul 2013, 10:07
Bunuel wrote:
Im2bz2p345 wrote:
Hi Bunuel,

Your statement (2) does not make sense to me. Should it say this instead?
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches. No information about the cans carton. Not sufficient.


Wasn't it clear that it was a simple typo? Cans instead of cartons?


It threw me off in my thinking because I was like "what information about the can is missing?." Maybe the shape of each can? The carton's information is definitely missing, so I had to post to get some clarification.

Hope you're not mad ;)

~ Im2bz2p345 :)
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12904
Followers: 562

Kudos [?]: 158 [0], given: 0

Premium Member
Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 22 Aug 2014, 05:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
User avatar
Joined: 25 May 2014
Posts: 24
Schools: Sauder '18 (A)
GPA: 3.1
Followers: 0

Kudos [?]: 3 [0], given: 171

GMAT ToolKit User Reviews Badge
Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 15 Sep 2014, 06:05
Got the point!
But in a reversal case where dimension of carton is given, along with the volume of can. Then, can we get to the answer as above??Bunuel
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90100 [0], given: 10413

Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 15 Sep 2014, 19:53
Akashmadaan wrote:
Got the point!
But in a reversal case where dimension of carton is given, along with the volume of can. Then, can we get to the answer as above??Bunuel


No, the answer would still be E (well if the volume of the carton is less than the volume of the cans, then we could say that 0 cans could be placed). The point is that the volume of a can does not limit its height or diameter, so for any volume we can consider the height to be greater than any of the dimensions of the carton, and this would mean that 0 cans could be placed.
_________________

New to the Math Forum?
Please read this: 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

Director
Director
User avatar
Joined: 10 Mar 2013
Posts: 608
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
Followers: 13

Kudos [?]: 250 [0], given: 200

GMAT ToolKit User
Re: What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 14 Jul 2015, 04:12
To solve this one we need a height of the carton. Neither St1 nor St2 gives us this information even combiden --> (E)
1) l*w*h=2304 what is the Height of the carton? Not Sufficient
2) Can H=6, D=4, we need a height of the carton - If the height is 5 then a can fit there, if the height of the carton is 4 - the answer is NO, the cans don't fit there. Not Sufficient
1+2) We need the height of the carton - Not sufficient (E)
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Intern
Intern
avatar
Joined: 16 Jun 2016
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 30

CAT Tests
What is the number of cans that can be packed in a certain [#permalink]

Show Tags

New post 26 Jun 2016, 03:54
Bunuel wrote:
Akashmadaan wrote:
Got the point!

No, the answer would still be E (well if the volume of the carton is less than the volume of the cans, then we could say that 0 cans could be placed). The point is that the volume of a can does not limit its height or diameter, so for any volume we can consider the height to be greater than any of the dimensions of the carton, and this would mean that 0 cans could be placed.


Bunuel
Hi, I have couple of queries in this question

1) Are we assuming that can is right angled cylinder ?

2) Even if Can is cylinder and we know size and shape of Carton, number of cans in box will be dependent on the arrangement of cans, so answer will be E in any case >
What is the number of cans that can be packed in a certain   [#permalink] 26 Jun 2016, 03:54
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic What is the volume that a certain jar can hold? AbdurRakib 8 05 Jun 2016, 13:46
1 Experts publish their posts in the topic What is the volume of a cylindrical can? Bunuel 1 31 Jan 2016, 06:20
1 Experts publish their posts in the topic A certain shipment of identical cans of soup can be packed either into Bunuel 1 29 Oct 2015, 00:26
3 Experts publish their posts in the topic What is the maximum number of arrangements in which N students can be Bunuel 8 05 Feb 2015, 08:10
49 Experts publish their posts in the topic Can a certain rectangular sheet of glass be positioned on a Bunuel 26 18 Sep 2012, 02:22
Display posts from previous: Sort by

What is the number of cans that can be packed in a certain

  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 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®.