Quantitative Aptitude Ques 1074

Question: A polygon has 27 diagonals. The number of sides of the polygon is

Options:

A) 9

B) 10

C) 11

D) 12

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Number of diagonals of polygon $ =\frac{n,(n-3)}{2} $ $ 27=\frac{n,(n-3)}{2} $
    $ \Rightarrow $ $ n,(n-3)=54 $
    $ \therefore $ $ n=9 $
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