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Updated on: 20 Dec 2012, 03:53
Originally posted by apoorvasrivastva on 14 Jan 2010, 14:21.
Last edited by Bunuel on 20 Dec 2012, 03:53, edited 1 time in total.
Last edited by Bunuel on 20 Dec 2012, 03:53, edited 1 time in total.
Renamed the topic.
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
55% (01:39) correct
45%
(01:47)
wrong
based on 473
sessions
History
Date
Time
Result
Not Attempted Yet
A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
20 Dec 2012, 03:59
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apoorvasrivastva
A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
If the base of the cube is red, then in order the adjacent faces to be painted with the different colors, the top must also be red. 4 side faces can be painted in Green-Blue-Green-Blue OR Blue-Green-Blue-Green (2 options).
But we can have the base painted in either of the three colors, thus the total number of ways to paint the cube is 3*2=6.
Answer: B.
General Discussion
14 Jan 2010, 14:37
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apoorvasrivastva
A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to
paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many
ways can the cube be painted?
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
OA is
paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many
ways can the cube be painted?
(A) 3
(B) 6
(C) 8
(D) 12
(E) 27
OA is
Am I missing some thing here?
Any one side of the cube will be having 4 sides which can be termed as adjacent.. Isn't it ? Say for e.g side A it will be having 4 sides adjacent to it, one on left, one on right, one above and one below.
Please correct me if I am assuming this wrong..!
thanks
