GRE Prep 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.
Term Value is defined as the sum of the length of the largest rod wh
[#permalink]
28 Jun 2023, 07:10
28 Jun 2023, 07:10
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
49% (01:43) correct
50% (01:32) wrong based on 55 sessions
Hide Show timer Statistics
Term ‘Value’ is defined as the sum of the length of the largest rod which can be placed inside a cube and the radius of the largest possible sphere which can be put in the same cube
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) Free Materials for the GRE General Exam - Where to get it!!
\(\Longrightarrow\) Best GRE Test Books of 2023
Quantity A |
Quantity B |
The ‘Value’ of cube of side 4 units |
8 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) Free Materials for the GRE General Exam - Where to get it!!
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: Term Value is defined as the sum of the length of the largest rod wh
[#permalink]
16 Jul 2023, 10:14
16 Jul 2023, 10:14
Expert Reply
OE
For a cube,
Length of largest rod that can be fit inside is diagonal of cube.
Diagonal of cube = side × √3
Consider the sphere inside cube, We get to know here that; diameter of sphere is side of cube. So, radius of sphere would be half of side of cube. Radius of sphere = 1/2 × Side of cube
Quantity A
The ‘Value’ of cube of side 4 units;
Value = Diagonal of cube + Radius of sphere
= 4√3 + 1/2 × 4 = 8.92
Quantity B
8
Clearly, Quantity A > Quantity B.
For a cube,
Length of largest rod that can be fit inside is diagonal of cube.
Diagonal of cube = side × √3
Consider the sphere inside cube, We get to know here that; diameter of sphere is side of cube. So, radius of sphere would be half of side of cube. Radius of sphere = 1/2 × Side of cube
Quantity A
The ‘Value’ of cube of side 4 units;
Value = Diagonal of cube + Radius of sphere
= 4√3 + 1/2 × 4 = 8.92
Quantity B
8
Clearly, Quantity A > Quantity B.
Re: Term Value is defined as the sum of the length of the largest rod wh
[#permalink]
21 Jul 2023, 11:08
21 Jul 2023, 11:08
1
4root3 because it would be the largest diagonal of a cube with length 4 and the maximum radius that can fit inside the cure is half the side of cube i.e.4/2=4 therefore 4root3+2> 8 so A
