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CAT 2025 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 19

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 19 : For any natural number \(k\), let \(a_k=3^k\). The smallest natural number \(m\) for which \(\left\{\left(a_1\right)^1 \times\left(a_2\right)^2 \times \ldots \times\left(a_{20}\right)^{20}\right\}<\left\{a_{21} \times a_{22} \times \ldots \times a_{(20+m)}\right\}\), is

  1. 59
  2. 56
  3. 58
  4. 57

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The answer is '58'

Choice 3 is the correct answer.

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