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08 Sep 2022, 02:17
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
46% (01:27) correct
54%
(01:16)
wrong
based on 48
sessions
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Not Attempted Yet
What is the number of different pairs of parallel edges on a cubical wooden block?
(A) 18
(B) 12
(C) 8
(D) 6
(E) 4
(A) 18
(B) 12
(C) 8
(D) 6
(E) 4
08 Sep 2022, 05:00
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Bunuel
There are a total of 3 sets of 4 parallel lines each.
In each set, a different pair of parallel lines can be picked in 4C2 or 6 ways.
So, in 3 sets, different ways will be 3*6 or 18 ways.
A
Refer sketch where 1, 2 and 3 are 3 sets of 4 parallel lines.
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63DEF7DD-9391-468A-8040-FE35789D98D9.jpeg [ 10.24 KiB | Viewed 5367 times ]
08 Sep 2022, 07:47
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Say you are holding a cube with your palms on two opposite faces. Now we begin counting the edges of the cube
Considering vertical edges that are parallel to our palms= 4
Considering horizontal edges that are parallel to our palms = 4
Considering horizontal edges that are perpendicular to our palms = 4
For each of them, we have to choose two parallel edges hence we have 4C2 = 6
Since we have 3 such combinations total pairs would be 6 x 3 = 18
Option A
Considering vertical edges that are parallel to our palms= 4
Considering horizontal edges that are parallel to our palms = 4
Considering horizontal edges that are perpendicular to our palms = 4
For each of them, we have to choose two parallel edges hence we have 4C2 = 6
Since we have 3 such combinations total pairs would be 6 x 3 = 18
Option A
