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CAT 2025 Slot 1 — QA Question 22

Functions & GraphsMedium

Let 3≤x≤63 \leq x \leq 6 and [x2]=[x]2\left[x^2\right]=[x]^2, where [x][x] is the greatest integer not exceeding xx. If set S represents all feasible values of xx, then a possible subset of S is

Answer & solution

Correct answer: \((3, \sqrt{10}) \cup[5, \sqrt{26}) \cup\{6\}\)

  • A
    (4,18)∪[5,27)∪{6}(4, \sqrt{18}) \cup[5, \sqrt{27}) \cup\{6\}
  • B
    [3,10]∪[4,17]∪{6}[3, \sqrt{10}] \cup[4, \sqrt{17}] \cup\{6\}
  • C
    [3,10]∪[5,26][3, \sqrt{10}] \cup[5, \sqrt{26}]
  • (3,10)∪[5,26)∪{6}(3, \sqrt{10}) \cup[5, \sqrt{26}) \cup\{6\}

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CAT 2025 Slot 1 QA Q22: Let \(3 \leq x \leq 6\) and \(\left[x^2\right]=[x]^2\), where \([x]\) is the greatest integer not exceeding \( — Solution | TheCATExam