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CAT 2025 Number System — Previous Year Question

Paper

CAT 2025

Section

Quantitative

Topic

Number System

Difficulty

Hard

Question

CAT 2025

Slot-1

Let 3≤x≤63 \leq x \leq 6 and ⌊x2⌋=⌊x⌋2\lfloor x^2 \rfloor = \lfloor x \rfloor^2, where ⌊x⌋\lfloor x \rfloor is the greatest integer not exceeding xx. If set SS represents all feasible values of xx, then a possible subset of SS is:

(4,18)∪[5,27)∪{6}(4, \sqrt{18}) \cup [5, \sqrt{27}) \cup \{6\}

[3,10]∪[4,17]∪{6}[3, \sqrt{10}] \cup [4, \sqrt{17}] \cup \{6\}

[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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