|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Updated on: 25 Jun 2019, 23:02
Originally posted by payalkhndlwl on 25 Jun 2019, 18:50.
Last edited by Bunuel on 25 Jun 2019, 23:02, edited 1 time in total.
Last edited by Bunuel on 25 Jun 2019, 23:02, edited 1 time in total.
Renamed the topic.
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
27% (02:03) correct
73%
(01:50)
wrong
based on 143
sessions
History
Date
Time
Result
Not Attempted Yet
Will at least three identical cubes fit inside a cylindrical shipping container?
(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.
(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder
(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.
(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
saukrit
Joined: 05 Jul 2018
Last visit: 23 Apr 2026
Posts: 378
Given Kudos: 326
Status:Current student at IIMB
Affiliations: IIM Bangalore
Location: India
Concentration: General Management, Technology
Schools: IIMB EPGP'22 (A)
GMAT 1: 600 Q47 V26
GRE 1: Q162 V149
GPA: 3.6
WE:Information Technology (Consulting)
Products:
25 Jun 2019, 19:40
Kudos
Bookmarks
The key here is to understand that largest square that fits inside a circle is the one with diagonal d * Sqrt 2 , d being the diameter of circle. In other words if the edge of the square is greater than d/ sqrt 2, it will not fit in
Same applies to the face of the cube and the cylinder here.
From 1)We know that the side of cube is d/(5/4) which is higher than d/1.414. For this case we surely know it won’t fit it. We can strike off b,c,e now
From 2)alone we do not eat to know if f the capacity is increased along height or Lang the circular surface of the cylinder. Hence we have no definitive answer. Cross off D
A is the right choice
Posted from my mobile device
Same applies to the face of the cube and the cylinder here.
From 1)We know that the side of cube is d/(5/4) which is higher than d/1.414. For this case we surely know it won’t fit it. We can strike off b,c,e now
From 2)alone we do not eat to know if f the capacity is increased along height or Lang the circular surface of the cylinder. Hence we have no definitive answer. Cross off D
A is the right choice
Posted from my mobile device
25 Jun 2019, 22:49
Kudos
Bookmarks
(1) The edge of one of the cubical boxes is 4/5 as wide as the diameter of the cylinder.
The diagonal of the square will be the diameter of the circle (base of the cylinder). diameter = s*(2)^0.5
Edge of the cube is (4/5)*d
(4/5)*d * \(\sqrt{2}\) is greater than d, so doesnt make sense.
This is enough to prove that the cubes cannot fit in the cylinder.
(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder
Capacity can be increased by increasing the surface area of the base of cylinder or the height of the cylinder or both. We can say that 3 cubes will fit in if only one of height or base has been increased since 7 can fit in if capacity is increased by 50%. However if both have been increased then we cannot say for sure. Hence (2) is not sufficient.
So, the answer should be A.
The diagonal of the square will be the diameter of the circle (base of the cylinder). diameter = s*(2)^0.5
Edge of the cube is (4/5)*d
(4/5)*d * \(\sqrt{2}\) is greater than d, so doesnt make sense.
This is enough to prove that the cubes cannot fit in the cylinder.
(2) If the cylinder had 50% more capacity, seven of the identical cubical boxes could fit inside the cylinder
Capacity can be increased by increasing the surface area of the base of cylinder or the height of the cylinder or both. We can say that 3 cubes will fit in if only one of height or base has been increased since 7 can fit in if capacity is increased by 50%. However if both have been increased then we cannot say for sure. Hence (2) is not sufficient.
So, the answer should be A.
