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Term Value is defined as the sum of the length of the largest rod wh
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28 Jun 2023, 07:10
28 Jun 2023, 07:10
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Question Stats:
54% (01:41) correct
45% (01:32) wrong based on 61 sessions
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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.
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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
