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CAT 2023 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 19

CAT 2023 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 19 : In a regular polygon, any interior angle exceeds the exterior angle by 120 degrees. Then, the number of diagonals of this polygon is


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Explanatory Answer

Exterior angle + Interior angle = 180
Exterior angle + Exterior angle + 120 = 180
2(Exterior angle) = 60
Exterior angle = 30
In a polygon, the exterior angle is simply, 360n
360n=30;n=12
The number of diagonals =nc2n=12c212=54


The question is " In a regular polygon, any interior angle exceeds the exterior angle by 120 degrees. Then, the number of diagonals of this polygon is "

Hence, the answer is '54'

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