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CAT 2025 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 13

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 13 : The \((x, y)\) coordinates of vertices \(\mathrm{P}, \mathrm{Q}\) and R of a parallelogram PQRS are \((-3,-2),(1,-5)\) and \((9,1)\), respectively. If the diagonal SQ intersects the \(x\)-axis at \((a, 0)\), then the value of \(a\) is

  1. \(\frac{13}{4}\)
  2. \(\frac{29}{9}\)
  3. \(\frac{10}{3}\)
  4. \(\frac{27}{7}\)

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The answer is '\(\frac{29}{9}\)'

Choice 2 is the correct answer.

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