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

 It is currently 01 May 2016, 21:26

### 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

# 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:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 1535 [0], given: 0

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

### Show Tags

07 Dec 2012, 09:53
17
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

61% (01:34) correct 39% (00:32) wrong based on 782 sessions

### HideShow timer Statictics

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
Math Expert
Joined: 02 Sep 2009
Posts: 32549
Followers: 5640

Kudos [?]: 68400 [1] , given: 9797

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

### Show Tags

07 Dec 2012, 09:58
1
This post received
KUDOS
Expert's post
5
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.
_________________
Director
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 [?]: 49 [1] , given: 562

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

### Show Tags

04 Jan 2013, 09:21
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
Joined: 09 Jun 2012
Posts: 31
Followers: 0

Kudos [?]: 12 [0], given: 13

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

### Show Tags

18 Jul 2013, 03:47
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
Joined: 23 Mar 2011
Posts: 30
Followers: 0

Kudos [?]: 3 [0], given: 9

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

### Show Tags

18 Jul 2013, 10:52
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
Math Expert
Joined: 02 Sep 2009
Posts: 32549
Followers: 5640

Kudos [?]: 68400 [0], given: 9797

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

### Show Tags

18 Jul 2013, 10:56
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 $$v=h$$$$\pi$$$$r^2$$ 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?
_________________
Intern
Joined: 23 Mar 2011
Posts: 30
Followers: 0

Kudos [?]: 3 [0], given: 9

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

### Show Tags

18 Jul 2013, 11:07
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
Joined: 09 Sep 2013
Posts: 9249
Followers: 455

Kudos [?]: 115 [0], given: 0

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

### Show Tags

22 Aug 2014, 06:09
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.
_________________
Intern
Joined: 25 May 2014
Posts: 24
Schools: Sauder '18 (A)
GPA: 3.1
Followers: 0

Kudos [?]: 3 [0], given: 170

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

### Show Tags

15 Sep 2014, 07:05
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
Math Expert
Joined: 02 Sep 2009
Posts: 32549
Followers: 5640

Kudos [?]: 68400 [0], given: 9797

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

### Show Tags

15 Sep 2014, 20:53
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.
_________________
Director
Joined: 10 Mar 2013
Posts: 605
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
Followers: 8

Kudos [?]: 129 [0], given: 200

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

### Show Tags

14 Jul 2015, 05:12
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

Re: What is the number of cans that can be packed in a certain   [#permalink] 14 Jul 2015, 05:12
Similar topics Replies Last post
Similar
Topics:
What is the volume of a cylindrical can? 1 31 Jan 2016, 07:20
1 A certain shipment of identical cans of soup can be packed either into 1 29 Oct 2015, 01:26
2 What is the maximum number of arrangements in which N students can be 8 05 Feb 2015, 09:10
2 Of the cans of peaches inspected yesterday at a certain plan 3 23 Feb 2013, 03:00
2 Linda, Robert, and Pat packed a certain number of boxes with 12 17 May 2006, 00:24
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

 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®.