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

Explanation

Questions 1 – 7

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

1. Each candidate should serve on exactly one of the committees
2. Every committee must have at least one member
3. Committee A should consist of exactly one member more than that committee B
4. Among Maryam, Shiza, and Zeeshan none can serve on committee A
5. Among Faisal, Harron, and Liaquat none can serve on committee B
6. Among Ahmed, Bilal, and Danish none can serve on committee C

Condition and Solutiion:

part 1. In case Danish and Zeeshan are the individuals serving on committee B, how many of the nine individuals should serve on committee C?

(A) 2

(B) 3

(C) 4

(D) 5

part 2. Of the nine individuals, the maximum number that can serve together on committee C is

(A) 5

(B) 6

(C) 7

(D) 8

(E) 9

part 3. In case Ahmed is the only individual serving on committee B, which among the following should serve on committee A?

(A) Bilal and Danish

(B) Bilal and Faisal

(C) Bilal and Liaquat

(D) Faisal and Haroon

(E) Danish and Haroon

part 4. In case, any of the nine individuals serves on committee C, which among the following could not be the candidate to serve on committee A?

(A) Ahmed

(B) Bilal

(C) Danish

(D)  Shiza

part 5. In case, Bilal, Danish, and Maryam are the only individuals serving on committee B, the total membership of committee C should be

(A) 5

(B) 4

(C) 3

(D) 2

part 6. In case, Bilal, Danish, and Maryam are the only individuals serving on committee B, then the members of committee C should be

(A) Haroon and Shiza

(B) Maryam and Zeeshan

(C) Shiza and Zeeshan

(D) Faisal and Shiza

part 7. Among the following combinations which could constitute the membership of committee C?

(A) Danish and Shiza

(B) Faisal and Maryam

(C) Liaquat, Maryam and Shiza

(D) Faisal, Haroon and Liaquat

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