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Retired Moderator
Joined: 16 Apr 2020
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Affiliations: Prepster Education
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The figure above is a cube.
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11 May 2021, 07:30
11 May 2021, 07:30
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Question Stats:
38% (00:47) correct
61% (01:38) wrong based on 13 sessions
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Quantity A |
Quantity B |
Measure of angle BEG (in degrees) |
90° |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: The figure above is a cube.
[#permalink]
11 May 2021, 14:09
11 May 2021, 14:09
1
I guess is B because if all sides of the cube are 1 then the sides that forms the triangle BEG will be all root of 2, hence will have equal sides... 60 degrees.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The figure above is a cube.
[#permalink]
12 May 2021, 21:56
12 May 2021, 21:56
Explanation:
Join BE, EG and GB which are the diagonals of the faces of cube
Let edge length of the given cube be \(a\), then BE = EG = GB = \(\sqrt{2}a\)
Thus, BEG is an equilateral triangle with each angle 60°
Col. A: 60°
Col. B: 90°
Hence, option B
Join BE, EG and GB which are the diagonals of the faces of cube
Let edge length of the given cube be \(a\), then BE = EG = GB = \(\sqrt{2}a\)
Thus, BEG is an equilateral triangle with each angle 60°
Col. A: 60°
Col. B: 90°
Hence, option B
