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

It is currently 17 Sep 2014, 12:14

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

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 2

Kudos [?]: 350 [1] , given: 0

What is the number of cans that can be packed in a certain [#permalink] New post 07 Dec 2012, 08:53
1
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

59% (01:30) correct 41% (00:29) wrong based on 342 sessions
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
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29671
Followers: 3495

Kudos [?]: 26278 [0], given: 2708

Re: What is the number of cans that can be packed in a certain [#permalink] New post 07 Dec 2012, 08:58
Expert's post
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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

1 KUDOS received
Director
Director
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 550
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Followers: 2

Kudos [?]: 29 [1] , given: 562

GMAT Tests User
Re: What is the number of cans that can be packed in a certain [#permalink] 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 : end-of-my-gmat-journey-149328.html#p1197992

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

Kudos [?]: 7 [0], given: 13

Re: What is the number of cans that can be packed in a certain [#permalink] 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: 25
Followers: 0

Kudos [?]: 3 [0], given: 6

CAT Tests
Re: What is the number of cans that can be packed in a certain [#permalink] 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\pir^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: 29671
Followers: 3495

Kudos [?]: 26278 [0], given: 2708

Re: What is the number of cans that can be packed in a certain [#permalink] New post 18 Jul 2013, 09:56
Expert's post
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\pir^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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 23 Mar 2011
Posts: 25
Followers: 0

Kudos [?]: 3 [0], given: 6

CAT Tests
Re: What is the number of cans that can be packed in a certain [#permalink] 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 :)
SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 2415
Followers: 196

Kudos [?]: 38 [0], given: 0

Premium Member
Re: What is the number of cans that can be packed in a certain [#permalink] 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
avatar
Joined: 25 May 2014
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 93

GMAT ToolKit User
Re: What is the number of cans that can be packed in a certain [#permalink] 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: 29671
Followers: 3495

Kudos [?]: 26278 [0], given: 2708

Re: What is the number of cans that can be packed in a certain [#permalink] New post 15 Sep 2014, 19:53
Expert's post
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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: What is the number of cans that can be packed in a certain   [#permalink] 15 Sep 2014, 19:53
    Similar topics Author Replies Last post
Similar
Topics:
6 In a tin can, there is a certain number of pencils, 40 mhadi 6 15 Nov 2012, 08:39
21 Experts publish their posts in the topic What is the maximum number of pieces that a circular pie can marcodonzelli 23 15 Mar 2008, 10:52
5 Experts publish their posts in the topic What are the possible number of points at which a circle can beckee529 8 30 Oct 2007, 17:39
What is the largest prime number that can divide evenly into GMATT73 9 16 Oct 2005, 00:02
What is the sum of the 3 digit numbers that can be formed krishrads 5 02 Jun 2005, 02:52
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.