CAT 2022 Ratio, Proportion and Variation Question (Medium)

Question

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

Accepted Answer

Let the number of sides of polygon A be , and for polygon B be , since their ratio is . Step 1 Formula for interior angle of a regular polygon s Where is the number of sides. Step 2 Use the given interior angle ratio Given 4 Apply formula n 2n 4 Cancel out 180 2n - 2 2n 4 Now simplify both Numerator

CAT 2022

Quantitative

Ratio, Proportion and Variation

Medium

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

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