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CAT 2025 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 5

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 5 : If \( 9 ^ { x ^ { 2 } + 2 x - 3 } - 4 \left( 3 ^ { x ^ { 2 } + 2 x - 2 } \right) + 27 = 0 \), then the product of all possible values of \( x \) is

  1. \( 5 \)
  2. \( 20 \)
  3. \( 30 \)
  4. \( 15 \)

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The question is " If \( 9 ^ { x ^ { 2 } + 2 x - 3 } - 4 \left( 3 ^ { x ^ { 2 } + 2 x - 2 } \right) + 27 = 0 \), then the product of all possible values of \( x \) is "

Hence, the answer is '\( 20 \)'

Choice 2 is the correct answer.

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