Question
[A.T.M.A. 2006]
If L, N and Q are representatives, which of the following must also be a representatives?
Directions: Read the data given below to answer the questions:
The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions: (i) The group of four representatives must consist of exactly two faculty members and two students. (ii) Either K or L must be one of the representatives, but K and L cannot both be representatives. (iii) If P is a representatives, M must also be a representative. (iv) If R is a representatives, L cannot be a representative.[A.T.M.A. 2006]
If L, N and Q are representatives, which of the following must also be a representatives?
Answer: Option B
Answer: (b)
From (iv), if L is a representative, R cannot be a representative. If L and N are the two representatives from faculty members, P cannot be a representative from students because if P is a representative, M must also be a representative.
Hence, if L, N and Q are representatives, R must be the second member from students in the committee.
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Answer: (b)
From (iv), if L is a representative, R cannot be a representative. If L and N are the two representatives from faculty members, P cannot be a representative from students because if P is a representative, M must also be a representative.
Hence, if L, N and Q are representatives, R must be the second member from students in the committee.
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