College of Admission Tests Multan

Grouping and Selection

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Nine individuals: Ahmed, Bilal, Danish, Faisal, Haroon, Liaquat, Maryam, Shiza and Zeeshan are to serve on three committees labeled A, B, and C.

Each candidate should serve on exactly one of the committees

  • Every committee must have at least one member
  • Committee A should consist of exactly one member more than that of committee B

  • Among Maryam, Shiza and Zeeshan none can serve on committee A
  • Among Faisal, Harron and Liaquat none can serve on committee B
  • Among Ahmed, Bilal and Danish none can serve on committee C

Question: 9

Of the nine individuals, the maximum number that can serve together on committee C is
  • 5
  • 6
  • 7
  • 8
  • 9

  Show/Hide Explanation 

Correct Answer: B

If minimum 1 in committee B, then committee A must have 2 members. Hence, committee C could have a maximum of 6 members.