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CAT 2025 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 7

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 7 : The sum of all possible real values of \( x \) for which \( \log _ { x - 3 } \left( x ^ { 2 } - 9 \right) = \log _ { x - 3 } ( x + 1 ) + 2 \), is

  1. \( - 3 \)
  2. \( \sqrt { 33 } \)
  3. \( \frac { 3 + \sqrt { 33 } } { 2 } \)
  4. \( 3 \)

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The question is " The sum of all possible real values of \( x \) for which \( \log _ { x - 3 } \left( x ^ { 2 } - 9 \right) = \log _ { x - 3 } ( x + 1 ) + 2 \), is "

Hence, the answer is '\( \frac { 3 + \sqrt { 33 } } { 2 } \)'

Choice 3 is the correct answer.

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