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Quantitative Aptitude

Area Based Approach

If the ratio ...

Question

If the ratio of number of diagonals of a polygon to the number of its sides is 2, the number of sides of polygon is -

A

4

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B

6

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C

7

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D

8

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Solution

The correct option is D
8

The number of diagonals that can be drawn in an `n' sided polygon is $\frac{n (n - 3)}{2}$

$\frac{(n - 3)}{2}$ = 2

$\Rightarrow$ n = 7

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