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CAT 2025 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 22

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

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

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The question is " Let \(3 \leq x \leq 6\) and \(\left[x^2\right]=[x]^2\), where \([x]\) is the greatest integer not exceeding \(x\). If set S represents all feasible values of \(x\), then a possible subset of S is "

Hence, the answer is '\((3, \sqrt{10}) \cup[5, \sqrt{26}) \cup\{6\}\)'

Choice 4 is the correct answer.

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