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CAT 2025 Set-1 | Quantitative Aptitude | Question: 6

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CAT 2025 Set-1 | Quantitative Aptitude | Question-6

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

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