Last visit was: 25 Apr 2026, 14:05 It is currently 25 Apr 2026, 14:05
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
nidhi12
User avatar
Joined: 24 May 2013
Last visit: 20 Oct 2015
Posts: 15
Own Kudos:
65
 [9]
Given Kudos: 21
Concentration: Operations, General Management
WE:Engineering (Energy)
Posts: 15
Kudos: 65
 [9]
How many rectangular boxes with the dimensions 1 foot by 3 f 05 Jun 2014, 04:20
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

65% (01:03) correct 35% (01:01) wrong based on 320 sessions

History

Date
Time
Result
Not Attempted Yet
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300
ShowHide Answer
Official Answer
C
User avatar
nidhi12
User avatar
Joined: 24 May 2013
Last visit: 20 Oct 2015
Posts: 15
Own Kudos:
65
Given Kudos: 21
Concentration: Operations, General Management
WE:Engineering (Energy)
Posts: 15
Kudos: 65
How many rectangular boxes with the dimensions 1 foot by 3 f 05 Jun 2014, 04:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
For example, if the carton was 600 x 1 x .5, no boxes would fit into it. Why???
600 x 1 x .5 = n (1x3x10) n=10
300 x 1 x 1 = n (1x3x10) n=10
Irrespective of shape answer is 10

But logically if visualised then OA is correct.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,831
Own Kudos:
811,266
 [4]
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,831
Kudos: 811,266
 [4]
How many rectangular boxes with the dimensions 1 foot by 3 f 05 Jun 2014, 05:25
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300

For example, if the carton was 600 x 1 x .5, no boxes would fit into it. Why???
600 x 1 x .5 = n (1x3x10) n=10
300 x 1 x 1 = n (1x3x10) n=10
Irrespective of shape answer is 10

But logically if visualised then OA is correct.
Show more

How can you place a box with the dimensions 1 by 3 by 10 in the box with dimensions 600 by 1 by 1/2? Each dimension of the first box is MORE than the smallest dimension of the second box.

Similar questions to practice:
the-inside-of-a-rectangular-carton-is-48-centimeters-long-138301.html
a-rectangular-box-has-dimensions-12-10-8-inches-what-is-the-28790.html
a-closed-cylindrical-tank-contains-36pi-cubic-feet-of-water-134500.html
what-is-the-number-of-cans-that-can-be-packed-in-a-certain-143776.html
a-cylindrical-tank-of-radius-r-and-height-h-must-be-redesign-122366.html
a-certain-rectangular-crate-measures-8-feet-by-10-feet-by-100223.html
the-inside-dimensions-of-a-rectangular-wooden-box-are-128053.html
a-rectangular-steel-container-has-three-equal-dimensions-of-105843.html
cylindrical-tennis-ball-cans-are-being-packed-into-cartons-56582.html

Hope this helps.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,831
Own Kudos:
811,266
 [1]
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,831
Kudos: 811,266
 [1]
How many rectangular boxes with the dimensions 1 foot by 3 f 22 Feb 2015, 11:55
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300
Show more

VERITAS PREP OFFICIAL SOLUTION

Correct Answer: C

Explanation: (1) Without any dimensions for the cube, we cannot determine how many boxes it can contain. Thus, the statement is insufficient.

(2) This statement is also insufficient, because we don't know the shape of the carton. For example, if the carton was 600 x 1 x .5, no boxes would fit into it.

Together, we know that the carton is a cube with volume 300, and can use that information to determine the dimensions of the cube. Once we know the length of each side of the cube, we can determine how many boxes will fit inside of it. The beauty of Data Sufficiency questions is that we do not have to actually do that work! Since both statements together are sufficient to answer the question, the correct choice is C.
avatar
Nemesis311
avatar
Joined: 20 May 2015
Last visit: 26 Feb 2017
Posts: 1
Given Kudos: 32
Location: Chile
Schools: Kellogg 1YR '12
GMAT 1: 590 Q44 V27
GPA: 3
Schools: Kellogg 1YR '12
GMAT 1: 590 Q44 V27
Posts: 1
Kudos: 0
How many rectangular boxes with the dimensions 1 foot by 3 f 05 Nov 2015, 06:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300

VERITAS PREP OFFICIAL SOLUTION

Correct Answer: C

Explanation: (1) Without any dimensions for the cube, we cannot determine how many boxes it can contain. Thus, the statement is insufficient.

(2) This statement is also insufficient, because we don't know the shape of the carton. For example, if the carton was 600 x 1 x .5, no boxes would fit into it.

Together, we know that the carton is a cube with volume 300, and can use that information to determine the dimensions of the cube. Once we know the length of each side of the cube, we can determine how many boxes will fit inside of it. The beauty of Data Sufficiency questions is that we do not have to actually do that work! Since both statements together are sufficient to answer the question, the correct choice is C.
Show more

hi Bunuel, thank you for your response, but I still don't understand, I picked A) because since we are told that the volume of the carton is "v" (I assumed that since v is given to us in the question, it's factual information) and with (1) we now know that the form of the carton is a cube, we could compute

v^(1/3)= x, where x is any side of the cube, and with that we could know how many boxes would fit in the carton (the answer may be yes or no, but still it gets answered)

Could you please clarify me? thank you very much for this spectacular community!
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,831
Own Kudos:
811,266
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,831
Kudos: 811,266
How many rectangular boxes with the dimensions 1 foot by 3 f 05 Nov 2015, 11:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Nemesis311
Bunuel
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300

VERITAS PREP OFFICIAL SOLUTION

Correct Answer: C

Explanation: (1) Without any dimensions for the cube, we cannot determine how many boxes it can contain. Thus, the statement is insufficient.

(2) This statement is also insufficient, because we don't know the shape of the carton. For example, if the carton was 600 x 1 x .5, no boxes would fit into it.

Together, we know that the carton is a cube with volume 300, and can use that information to determine the dimensions of the cube. Once we know the length of each side of the cube, we can determine how many boxes will fit inside of it. The beauty of Data Sufficiency questions is that we do not have to actually do that work! Since both statements together are sufficient to answer the question, the correct choice is C.

hi Bunuel, thank you for your response, but I still don't understand, I picked A) because since we are told that the volume of the carton is "v" (I assumed that since v is given to us in the question, it's factual information) and with (1) we now know that the form of the carton is a cube, we could compute

v^(1/3)= x, where x is any side of the cube, and with that we could know how many boxes would fit in the carton (the answer may be yes or no, but still it gets answered)

Could you please clarify me? thank you very much for this spectacular community!
Show more

When a DS question asks about the value of some variable, then the statement(s) is sufficient ONLY if you can get the single numerical value of this variable.

In a Yes/No Data Sufficiency questions, statement(s) is sufficient if the answer is “always yes” or “always no” while a statement(s) is insufficient if the answer is "sometimes yes" and "sometimes no".


Hope it helps.
avatar
jaydav989
avatar
Joined: 08 Oct 2015
Last visit: 19 Jan 2016
Posts: 2
Own Kudos:
1
Posts: 2
Kudos: 1
How many rectangular boxes with the dimensions 1 foot by 3 f 06 Nov 2015, 02:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300
Show more


I got the ans B here coz when the way i interpreted the scenerio was when n number of boxes has to be placed with dimensions of 1by 3 by 10 then that volume has to be equal to the volume of the rectangular box as given in the question. so what i did was N(1*3*10)= 300( as per second statement) so i got the N value 10. So, there are 10 boxes to be placed. I just find statement 1 is insufficient coz it talks about the cube and in this question it states all about rectangular boxes. Please correct me if i am wrong! Cheers! :-D
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,831
Own Kudos:
811,266
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,831
Kudos: 811,266
How many rectangular boxes with the dimensions 1 foot by 3 f 06 Nov 2015, 04:10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jaydav989
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300


I got the ans B here coz when the way i interpreted the scenerio was when n number of boxes has to be placed with dimensions of 1by 3 by 10 then that volume has to be equal to the volume of the rectangular box as given in the question. so what i did was N(1*3*10)= 300( as per second statement) so i got the N value 10. So, there are 10 boxes to be placed. I just find statement 1 is insufficient coz it talks about the cube and in this question it states all about rectangular boxes. Please correct me if i am wrong! Cheers! :-D
Show more

That's not correct. If the dimensions of the carton are 0.5 by 1 by 600, then 0 boxes can be placed. Please re-read the solution and follow the links provided.

Hope it helps.
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,063
Own Kudos:
20,004
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,063
Kudos: 20,004
How many rectangular boxes with the dimensions 1 foot by 3 f 08 Nov 2015, 06:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300

There are 3 variables (length, width, height) and 2 equations are given from the 2 conditions, so there is high chance (E) will be our answer.
Looking at the conditions together ,
if we let the length of one side of the carton be x, x^3=300, x=6.7. We cannot put in even one box, so the conditions are sufficient and the answer becomes (C).

For cases where we need 3 more equation, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, C or D.
avatar
cruiseav
avatar
Joined: 11 Feb 2018
Last visit: 19 May 2022
Posts: 34
Own Kudos:
17
 [1]
Given Kudos: 3
Posts: 34
Kudos: 17
 [1]
How many rectangular boxes with the dimensions 1 foot by 3 f 13 Jun 2018, 11:35
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300

For example, if the carton was 600 x 1 x .5, no boxes would fit into it. Why???
600 x 1 x .5 = n (1x3x10) n=10
300 x 1 x 1 = n (1x3x10) n=10
Irrespective of shape answer is 10

But logically if visualised then OA is correct.

How can you place a box with the dimensions 1 by 3 by 10 in the box with dimensions 600 by 1 by 1/2? Each dimension of the first box is MORE than the smallest dimension of the second box.

Similar questions to practice:
https://gmatclub.com/forum/the-inside-of ... 38301.html
https://gmatclub.com/forum/a-rectangular ... 28790.html
https://gmatclub.com/forum/a-closed-cyli ... 34500.html
https://gmatclub.com/forum/what-is-the-n ... 43776.html
https://gmatclub.com/forum/a-cylindrical ... 22366.html
https://gmatclub.com/forum/a-certain-rec ... 00223.html
https://gmatclub.com/forum/the-inside-di ... 28053.html
https://gmatclub.com/forum/a-rectangular ... 05843.html
https://gmatclub.com/forum/cylindrical-t ... 56582.html

Hope this helps.
Show more

Hi Bunuel

Considering both the statements together we know cartoon is of approx dimension 6.7*6.7*6.7 as its a cube.
The box is of size 1*3*10, so my understanding is as one side of the box (i.e side of 10) is bigger than all the 3 sides of the cube . So, still 0 boxes can be fit into the cartoon
Plz correct if my understanding is wrong
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,831
Own Kudos:
811,266
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,831
Kudos: 811,266
How many rectangular boxes with the dimensions 1 foot by 3 f 13 Jun 2018, 12:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
cruiseav
Bunuel
nidhi12
How many rectangular boxes with the dimensions 1 foot by 3 feet by 10 feet can be placed into a rectangular carton that has a volume of v cubic feet?

(1) The carton is a cube.
(2) v = 300

For example, if the carton was 600 x 1 x .5, no boxes would fit into it. Why???
600 x 1 x .5 = n (1x3x10) n=10
300 x 1 x 1 = n (1x3x10) n=10
Irrespective of shape answer is 10

But logically if visualised then OA is correct.

How can you place a box with the dimensions 1 by 3 by 10 in the box with dimensions 600 by 1 by 1/2? Each dimension of the first box is MORE than the smallest dimension of the second box.

Similar questions to practice:
https://gmatclub.com/forum/the-inside-of ... 38301.html
https://gmatclub.com/forum/a-rectangular ... 28790.html
https://gmatclub.com/forum/a-closed-cyli ... 34500.html
https://gmatclub.com/forum/what-is-the-n ... 43776.html
https://gmatclub.com/forum/a-cylindrical ... 22366.html
https://gmatclub.com/forum/a-certain-rec ... 00223.html
https://gmatclub.com/forum/the-inside-di ... 28053.html
https://gmatclub.com/forum/a-rectangular ... 05843.html
https://gmatclub.com/forum/cylindrical-t ... 56582.html

Hope this helps.

Hi Bunuel

Considering both the statements together we know cartoon is of approx dimension 6.7*6.7*6.7 as its a cube.
The box is of size 1*3*10, so my understanding is as one side of the box (i.e side of 10) is bigger than all the 3 sides of the cube . So, still 0 boxes can be fit into the cartoon
Plz correct if my understanding is wrong
Show more

Yes, when we combine the statements we get that 0 boxes can fit into the carton.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,985
Own Kudos:
1,118
Posts: 38,985
Kudos: 1,118
How many rectangular boxes with the dimensions 1 foot by 3 f 14 Dec 2023, 01:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109831 posts
kingbucky
498 posts
Gmat860sanskar
212 posts