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03 Jun 2019, 02:13
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
83% (01:16) correct
17%
(00:35)
wrong
based on 6
sessions
History
Date
Time
Result
Not Attempted Yet
The number of diagonals of a convex decagon is
A 53
B 35
C 45
D 60
E 70
Please share how to approach such problems
Source: TIME GMAT
A 53
B 35
C 45
D 60
E 70
Please share how to approach such problems
Source: TIME GMAT
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03 Jun 2019, 02:36
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First of all, you have to know what decagon is (In my case I've googled 
) )
Second, you have to know what is diagonal of a polygon: It's a line connecting two vertices which is not an edge.
So we need to find different pairs of vertices, except those, which make edge
We have 10 vertices, we need 2: 10!/2!8!=45
Now we have to exclude the edges, decagon has 10 edges
45-10=35
Does it make sense?
) )Second, you have to know what is diagonal of a polygon: It's a line connecting two vertices which is not an edge.
So we need to find different pairs of vertices, except those, which make edge
We have 10 vertices, we need 2: 10!/2!8!=45
Now we have to exclude the edges, decagon has 10 edges
45-10=35
Does it make sense?
