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(#M40025790) SSC Numerical Ability question CGL Tier 2 Quant Keep an EYE

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons is respectively

Asked In SSC Rats (10 years ago)

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Vinay Sipani   (10 years ago)

4 and 8

If 1st polygon has n sides => 2nd polygon has 2n sides

They are regular polygons
=> Interior angle of 1st = (n-2)180/n
=> Interior angle of 2nd = (2n-2)180/2n

Ratio of interior angle = 2 : 3
=> [ (n-2)180/n ] / [ (2n-2)180/2n ] = 2/3
=> n = 4 , 2n = 8

Hence the no. Of sides of each polygon are 4 and 8

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