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CAT 2025 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 12

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. 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 12 : In a circle with center \(C\) and radius \(6 \sqrt{2} \mathrm{~cm}, P Q\) and \(S R\) are two parallel chords separated by one of the diameters. If \(\angle P Q C=45^{\circ}\), and the ratio of the perpendicular distance of \(P Q\) and \(S R\) from \(C\) is \(3: 2\), then the area, in sq. cm , of the quadrilateral \(P Q R S\) is

  1. \(4(3+\sqrt{14})\)
  2. \(20(3 \sqrt{2}+\sqrt{7})\)
  3. \(20(3+\sqrt{14})\)
  4. \(4(3 \sqrt{2}+\sqrt{7})\)

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The answer is '\(20(3+\sqrt{14})\)'

Choice 3 is the correct answer.

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