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23 Jul 2017, 23:32
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:42) correct
36%
(01:53)
wrong
based on 39
sessions
History
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What is the length of each side of the regular hexagons as shown in the diagram below?
(1) The shortest distance between A and B is 6.
(2) The shortest straight-line distance between A and B such that the straight-line does not enter inside either hexagon is 4 + 2√3.
(1) The shortest distance between A and B is 6.
(2) The shortest straight-line distance between A and B such that the straight-line does not enter inside either hexagon is 4 + 2√3.
Attachment:
2017-07-24_1030.png
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22 Aug 2017, 07:15
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Bunuel
DS: Length of each side of regular Hexagon
Concept : If we know the length of side of regular hexagon , we can calculate its diagonals.
Statement 1: Shortest distance between A and B = Side of hexagon + diagonal of hexagon(which is again related to side)
So, we can easily calculate the length of the side of the hexagon.
SUFFICIENT
Statement 2: We can even calculate the distance between A and B such that the straight-line does not enter inside either hexagon with the length of side.
SUFFICIENT
Answer D
Updated on: 23 Aug 2017, 20:52
Originally posted by GoodnessShallPrevail on 23 Aug 2017, 09:45.
Last edited by GoodnessShallPrevail on 23 Aug 2017, 20:52, edited 1 time in total.
Last edited by GoodnessShallPrevail on 23 Aug 2017, 20:52, edited 1 time in total.
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Please refer attachment for diagram.
Side of Hexagon = 2S
St.1) 2S + 2S + 2S = 6
S = 1
Sufficient
St.2) S\(\sqrt{3}\) + S\(\sqrt{3}\) + 2S + 2S = 4 + 2\(\sqrt{3}\)
4S + 2S\(\sqrt{3}\) = 4 + 2\(\sqrt{3}\)
S = 1
Sufficient
Answer: Option D
Side of Hexagon = 2S
St.1) 2S + 2S + 2S = 6
S = 1
Sufficient
St.2) S\(\sqrt{3}\) + S\(\sqrt{3}\) + 2S + 2S = 4 + 2\(\sqrt{3}\)
4S + 2S\(\sqrt{3}\) = 4 + 2\(\sqrt{3}\)
S = 1
Sufficient
Answer: Option D
Attachments
GMAT - Geometry Answer Picture.jpg [ 1.59 MiB | Viewed 2152 times ]
