Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
07 Dec 2012, 09:53
Question Stats:
62% (00:36) correct 38% (00:31) wrong based on 1901 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.
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 49417

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
07 Dec 2012, 09:58




Senior Manager
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 468
Location: India
GMAT 1: 640 Q43 V34 GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
04 Jan 2013, 09:21
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/whosaysyouneeda149706.html#p1201595
My GMAT Journey : http://gmatclub.com/forum/endofmygmatjourney149328.html#p1197992



Intern
Joined: 09 Jun 2012
Posts: 30

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: 25 May 2014
Posts: 24
GPA: 3.1

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: 49417

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
15 Sep 2014, 20:53



Director
Joined: 10 Mar 2013
Posts: 546
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

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



Intern
Joined: 16 Jun 2016
Posts: 1

What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
26 Jun 2016, 04:54
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 >



Intern
Joined: 09 Jan 2017
Posts: 6

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
20 Jul 2017, 06:23
Hi,
Can anybody help me understand graphically.
Thanks in advance.



Manager
Joined: 12 Jun 2016
Posts: 218
Location: India
Concentration: Technology, Leadership
WE: Sales (Telecommunications)

What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
Updated on: 24 Sep 2017, 05:32
Hello faizanqazi, There was a similar question discussed in an Old OG question. In that question the Stem itself has a graphical representation. The responses for other Club users may help you to corelate this question better Link to the Old OG question  https://gmatclub.com/forum/theinsideo ... 38301.htmlI hope this helps you. faizanqazi wrote: Hi,
Can anybody help me understand graphically.
Thanks in advance.
_________________
My Best is yet to come!
Originally posted by susheelh on 30 Jul 2017, 01:18.
Last edited by susheelh on 24 Sep 2017, 05:32, edited 1 time in total.



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3528
Location: United States (CA)

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
30 Jul 2017, 17:45
Walkabout 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. (2) The exterior of each can is 6 inches high and has a diameter of 4 inches. We need to determine the number of cans that can be packed in a carton. Before moving to the statements, we should recognize that we are not given the shape of the carton. Keep in mind that cartons of different shapes will allow a varying number of cans to be packed into the carton. Statement One Alone: The interior volume of this carton is 2,304 cubic inches. Even though we know the volume of the carton, we still do not know the dimensions of the cans or the shape of the carton. Statement one alone is not sufficient to answer the question. Statement Two Alone: The exterior of each can is 6 inches high and has a diameter of 4 inches. Although we have the dimensions of each can, we still do not know the shape or dimensions of the carton. Statement two alone is not sufficient to answer the question. Statements One and Two Together: Using the information from statements one and two, we know the volume of the carton and the dimensions of each can. However, without knowing the exact shape or dimensions of the carton, we cannot determine how many cans can be packed into the carton. For example, if the carton were 16 by 16 by 9, we could fit only a single layer of 16 cans, with a lot of space left above the cans. But if the carton were 9 by 128 by 2, we couldn't fit any cans because both the diameter and the height of the cans would exceed the height of the carton. Answer: E
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



CEO
Joined: 12 Sep 2015
Posts: 2890
Location: Canada

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
25 Nov 2017, 15:35
Walkabout 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. (2) The exterior of each can is 6 inches high and has a diameter of 4 inches. Target question: What is the number of cans that can be packed in a certain carton? Let's head straight to..... Statements 1 and 2 combined Consider these two conflicting cases (that satisfy BOTH statements): Case a: the dimensions of the box are numbers are 1 x 1 x 2304 (inches), in which case ZERO cans can fit inside the cartonCase b: the dimensions of the box are numbers are 10 x 10 x 23.04 (inches), in which case MORE THAN ZERO cans can fit inside the cartonSince we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT Answer = ECheers, Brent
_________________
Brent Hanneson – GMATPrepNow.com
Sign up for our free Question of the Day emails



Director
Joined: 09 Mar 2016
Posts: 884

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
23 Aug 2018, 08:51
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 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. what is the difference between interior volume and exterior ?
_________________
In English I speak with a dictionary, and with people I am shy.



Director
Joined: 09 Mar 2016
Posts: 884

Re: What is the number of cans that can be packed in a certain
[#permalink]
Show Tags
23 Aug 2018, 09:09
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 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. 1 by 1 by 2,304 its hard to imagine carton with such dimension The exterior of each can is 6 inches high and has a diameter of 4 inches .... it means 6*4 = 24 and 2,304/24
_________________
In English I speak with a dictionary, and with people I am shy.




Re: What is the number of cans that can be packed in a certain &nbs
[#permalink]
23 Aug 2018, 09:09






