CatMate
CATXATMock TestsAnalytics
HomeXAT PYQsXAT 2017 Question PaperAn institute has 5 departments and each department has…
XAT 2017Quantitative AbilityProbability, CombinatoricsMEDIUM+1 / −0.25

An institute has 5 departments and each department has 50 students. If students are picked up randomly from all 5 departments to form a committee, what should be the minimum number of students in the committee so that at least one department should have representation of minimum 5 students?

Select an option to reveal the answer and explanation

Practice the full paper

Attempt XAT 2017 Question Paper with real exam interface and instant grading.

View Paper →
CatMate

CAT & XAT prep made focused.

Build exam-ready momentum with realistic mocks, safe auto-save, and analytics that surface exactly what to fix next.

Practice

  • CAT Sectional Tests
  • XAT Sectional Tests
  • CAT Previous Year Papers
  • XAT Previous Year Papers

Prepare

  • XAT Preparation
  • Analytics
  • Profile
  • About

Legal

  • Privacy Policy
  • Terms of Use
© 2026 CatMate. All rights reserved.
Made in India