WhatsAppJoin our WhatsApp Community
logo

CAT 2025 Number System — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Number System

Difficulty

Hard

Question

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\}

More from this topic

See all Number System PYQs →

Prepare for WAT & GD Like Never Before!

Join interactive sessions and receive expert guidance on Written Ability Tests and Group Discussions for MBA admissions.

Explore Interview Platform
Practice all 1,297 Number System questionsFree, with worked solutions.

Loading...