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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

77% (03:45) correct
23% (01:22) wrong based on 820 sessions

HideShow timer Statistics

Attachment:

Carton.png [ 12.46 KiB | Viewed 9195 times ]

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters. (2) Six of the cans fit exactly along the length of the carton.

Practice Questions Question: 35 Page: 278 Difficulty: 600

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

03 Sep 2012, 06:23

3

This post received KUDOS

Bunuel wrote:

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters. (2) Six of the cans fit exactly along the length of the carton.

Since Height of Box and Height of Cans are equal so only one stack of cans is there in the box. No need to bother about height. So inside dimensions of Box = 48 X 32 St 1: Sufficient: Each can has radius of 4 = Dia is 8 cms. ie (48/8) 6 nos of cans can be in one row. And since cans are identical (32/8) ie 4 cans can fit in colums. So 24 nos of can can fit in box. St 2: Sufficient: 6 cans can fit along the length. ie dia of each can = 48/6 ie 8 cms. As discussed in St 1.

Hence Answer is D)
_________________

Regards SD ----------------------------- Press Kudos if you like my post. Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters --> radius=4 means that diameter=8, which implies that along the 48 centimeter length of the carton 48/8=6 cans can be placed and along the 32 centimeter width of the carton 32/8=4 cans can be placed. Thus, k=6*4=24. Sufficient.

(2) Six of the cans fit exactly along the length of the carton --> the diameter of the can is 48/6=8 centimeters. So, we have the same info as above. Sufficient.

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters --> radius=4 means that diameter=8, which implies that along the 48 centimeter length of the carton 48/8=6 cans can be placed and along the 32 centimeter width of the carton 32/8=4 cans can be placed. Thus, k=6*4=24. Sufficient.

(2) Six of the cans fit exactly along the length of the carton --> the diameter of the can is 48/6=8 centimeters. So, we have the same info as above. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

24 Apr 2013, 02:53

Bunuel wrote:

SOLUTION

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters --> radius=4 means that diameter=8, which implies that along the 48 centimeter length of the carton 48/8=6 cans can be placed and along the 32 centimeter width of the carton 32/8=4 cans can be placed. Thus, k=6*4=24. Sufficient.

(2) Six of the cans fit exactly along the length of the carton --> the diameter of the can is 48/6=8 centimeters. So, we have the same info as above. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

I know the measurement of the carton, which is 48*32. Now the can's radius is 4 cm. Although the height of the carton is the same as the height of the cans i.e. 15, which I am ignoring as it will eventually cancel out in the calculation. My question is around the solution that is provided in the O.G. They have simply divided the length of the carton by diameter and width by diameter and then further multiplied the result.

(48/8)*(32/8) =6*4 =24.

Btw I got the right answer since its a DS problem. I am worried coz had this been a p.s problem, I might have got this one wrong. Now the way I would have solved this is

1st find the circumference of the circle (eliminating the height as the it is same). 2IIr=2*22/7*4 and then divided it by (48*32)/(176/7). My answer in this case is different from the OA =61.09

Why II (pie) was not considered. Why circumference was not considered instead of diameter. I failed to understand this. Can you please explain this.

Further when I use a formula for rectangle's area =L*B, where both lenght and breadth is present. But in case of circle I don't have a II(pie) anywhere. Why do we use this. What is the significance of II (pie).

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters --> radius=4 means that diameter=8, which implies that along the 48 centimeter length of the carton 48/8=6 cans can be placed and along the 32 centimeter width of the carton 32/8=4 cans can be placed. Thus, k=6*4=24. Sufficient.

(2) Six of the cans fit exactly along the length of the carton --> the diameter of the can is 48/6=8 centimeters. So, we have the same info as above. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

I know the measurement of the carton, which is 48*32. Now the can's radius is 4 cm. Although the height of the carton is the same as the height of the cans i.e. 15, which I am ignoring as it will eventually cancel out in the calculation. My question is around the solution that is provided in the O.G. They have simply divided the length of the carton by diameter and width by diameter and then further multiplied the result.

(48/8)*(32/8) =6*4 =24.

Btw I got the right answer since its a DS problem. I am worried coz had this been a p.s problem, I might have got this one wrong. Now the way I would have solved this is

1st find the circumference of the circle (eliminating the height as the it is same). 2IIr=2*22/7*4 and then divided it by (48*32)/(176/7). My answer in this case is different from the OA =61.09

Why II (pie) was not considered. Why circumference was not considered instead of diameter. I failed to understand this. Can you please explain this.

Further when I use a formula for rectangle's area =L*B, where both lenght and breadth is present. But in case of circle I don't have a II(pie) anywhere. Why do we use this. What is the significance of II (pie).

Why are you calculating the circumference?
_________________

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

26 Apr 2013, 22:38

Bunuel wrote:

davidfrank wrote:

Bunuel wrote:

SOLUTION

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters --> radius=4 means that diameter=8, which implies that along the 48 centimeter length of the carton 48/8=6 cans can be placed and along the 32 centimeter width of the carton 32/8=4 cans can be placed. Thus, k=6*4=24. Sufficient.

(2) Six of the cans fit exactly along the length of the carton --> the diameter of the can is 48/6=8 centimeters. So, we have the same info as above. Sufficient.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

I know the measurement of the carton, which is 48*32. Now the can's radius is 4 cm. Although the height of the carton is the same as the height of the cans i.e. 15, which I am ignoring as it will eventually cancel out in the calculation. My question is around the solution that is provided in the O.G. They have simply divided the length of the carton by diameter and width by diameter and then further multiplied the result.

(48/8)*(32/8) =6*4 =24.

Btw I got the right answer since its a DS problem. I am worried coz had this been a p.s problem, I might have got this one wrong. Now the way I would have solved this is

1st find the circumference of the circle (eliminating the height as the it is same). 2IIr=2*22/7*4 and then divided it by (48*32)/(176/7). My answer in this case is different from the OA =61.09

Why II (pie) was not considered. Why circumference was not considered instead of diameter. I failed to understand this. Can you please explain this.

Further when I use a formula for rectangle's area =L*B, where both lenght and breadth is present. But in case of circle I don't have a II(pie) anywhere. Why do we use this. What is the significance of II (pie).

Why are you calculating the circumference?

Hi Bunuel,

I am calculating the circumference because I know the area of the rectangular (ignoring the height 15 cm as it is common to both can and carton). Once I know the area, I can divide the area by circumference of the circle to know the no of cans.

I know the measurement of the carton, which is 48*32. Now the can's radius is 4 cm. Although the height of the carton is the same as the height of the cans i.e. 15, which I am ignoring as it will eventually cancel out in the calculation. My question is around the solution that is provided in the O.G. They have simply divided the length of the carton by diameter and width by diameter and then further multiplied the result.

(48/8)*(32/8) =6*4 =24.

Btw I got the right answer since its a DS problem. I am worried coz had this been a p.s problem, I might have got this one wrong. Now the way I would have solved this is

1st find the circumference of the circle (eliminating the height as the it is same). 2IIr=2*22/7*4 and then divided it by (48*32)/(176/7). My answer in this case is different from the OA =61.09

Why II (pie) was not considered. Why circumference was not considered instead of diameter. I failed to understand this. Can you please explain this.

Further when I use a formula for rectangle's area =L*B, where both lenght and breadth is present. But in case of circle I don't have a II(pie) anywhere. Why do we use this. What is the significance of II (pie).

Why are you calculating the circumference?

Hi Bunuel,

I am calculating the circumference because I know the area of the rectangular (ignoring the height 15 cm as it is common to both can and carton). Once I know the area, I can divide the area by circumference of the circle to know the no of cans.

It seems that you don't understand the question. You need neither circumference of the cans nor the area.

Simpler example might help:

Attachment:

Untitled.png [ 10.24 KiB | Viewed 6862 times ]

The carton is 16 centimeters long and 16 centimeters wide. If the diameter of the cans is 8 centimeters, how many cans can be placed in the carton?
_________________

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

11 Sep 2014, 12:53

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.
_________________

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

05 Oct 2014, 19:40

When I did this problem, I inadvertinly read over the specification desigmating, width, length and height. In this case 15 was the height, allowing us to cram the most amount of cyclinder cans.

Here is my question, if height was not deginated as 15 in the case, would the solution be E? ie, we have the 15×32×48 dimensions but we don't know what is length, width, height. E is what I came up with.

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

27 Feb 2016, 07:16

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.
_________________

Re: The inside of a rectangular carton is 48 centimeters long, 3 [#permalink]

Show Tags

09 Aug 2016, 13:47

Quote:

Attachment:

Carton.png

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k?

(1) Each of the cans has a radius of 4 centimeters. (2) Six of the cans fit exactly along the length of the carton.

We are given that a rectangular carton has a length of 48 cm, a width of 32 cm, and a height of 15 cm. We are also given that there are k identical cylindrical cans standing upright in this carton, and each can has a height of 15 cm. We need to determine the value of k, or the total number of cans in the carton.

Because we have the dimensions of the carton, if we are able to determine the diameter of each can, then we will be able to determine the value of k.

Statement One Alone:

Each of the cans has a radius of 4 centimeters.

Since the diameter is twice the radius we know that the diameter of each can is 8 cm. This is enough information to determine how many cans fit in the carton. Although we do not have to determine the actual value of k (because this is a data sufficiency problem), let’s determine it anyway.

Since the length of the carton is 48 cm we could fit 48/8 = 6 cans along the length of the carton, and since the width of the carton is 32 cm, we could fit 32/8 = 4 cans along the width of the carton.

Thus the carton could hold a total of 6 x 4 = 24 cans. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C and E.

Statement Two Alone:

Six of the cans fit exactly along the length of the carton.

In a similar fashion to the process used in statement one, we can use the information in statement two to determine the diameter of each can.

(Length of carton)/(diameter of each can) = number of cans that fit along the length of the carton

48/d = 6

48 = 6d

d = 8

Since we have the diameter of each can, we have enough information to determine how many total cans fit in the carton. Statement two alone is also sufficient to answer the question.

The answer is D.

Note that because we have the length of the carton as 48 centimeters, statements 1 and 2 are giving us the same information – the length of the diameter or radius of each can. Whenever the two statements give the same information, the answer has to be D or E. It can’t be A or B because if one statement is sufficient (or insufficient), the other is too. It can’t be C because neither statement is adding information to the other. So as soon as we realized that A was sufficient in this question, we would know the answer is D.
_________________

Jeffrey Miller Jeffrey Miller Head of GMAT Instruction

gmatclubot

Re: The inside of a rectangular carton is 48 centimeters long, 3
[#permalink]
09 Aug 2016, 13:47

After days of waiting, sharing the tension with other applicants in forums, coming up with different theories about invites patterns, and, overall, refreshing my inbox every five minutes to...

I was totally freaking out. Apparently, most of the HBS invites were already sent and I didn’t get one. However, there are still some to come out on...

There is without a doubt a stereotype for recent MBA grads – folks who are ambitious, smart, hard-working, but oftentimes lack experience or domain knowledge. Looking around and at...