CAT 2022 Slot 2 Paper

Question : 55 of 66

Marks: +1, -0

Regular polygons $\A$ and $\B$ have number of sides in the ratio $1 : 2$ and interior angles in the ratio $3 : 4$ . Then the number of sides of $\B$ equals

Your Answer:

Validate

Solution:

Let the number of sides of polygons

\A

and

\B

n

and

2 n

, respectively.

{{(n-2) 180}/{n}}/{{(2 n-2) 180}/{2 n}}={3}/{4}

{n-2}/{n-1}={3}/{4}

4 n-8=3 n-3

n=5

The number of sides of polygon

\B

2 × 5

, i.e. 10 .

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