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CAT 2025 Set-1 | Quantitative Aptitude | Question: 4

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CAT 2025 Set-1 | Quantitative Aptitude | Question-4

Let $3 \leq x \leq 6$ and $\left[x^{2}\right]=[x]^{2}$, where $[x]$ is the greatest integer not exceeding $x$. If set $\mathrm{S}$ represents all feasible values of $x$, then a possible subset of $\mathrm{S}$ is

  1. $(3, \sqrt{10}) \cup[5, \sqrt{26}) \cup\{6\}$
  2. $\left[3, \sqrt{10}\right] \cup\left[5, \sqrt{26}\right]$
  3. $\left[3, \sqrt{10}\right] \cup \left[4, \sqrt{17}\right] \cup\{6\}$
  4. $(4, \sqrt{18}) \cup[5, \sqrt{27}) \cup\{6\}$

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