Q. No. 45

Analytical Reasoning Question No. 45

The members of the Exam Control Committee and the members of the Administrative Committee are to be selected from exactly six qualified candidates. The six candidates are L, M, N, O, P, and Q. The following rules apply:

1. Each Committee must have exactly three members.
2. The two Committees must have at least one member in common.
3. L cannot be on a Committee with O.
4. If O is selected for a Committee, P must also be selected for that Committee.

1. If the members of the Exam Control Committee are selected first, which of the following could be those selected?

(A) L, M, and O      (B) L, O, and Q      (C) M, N, and O
(D) M, O, and P      (E) N, O, and Q

2. If the two Committees have parallel terms of office, which of the following could be selected as the members of the Exam Control Committee and as the members of the Administrative Committee, respectively, for one such term of office?

(A) L, M, and N; O, P, and Q.
(B) L, N, and P; M, O, and Q
(C) L, O, and P; L, O, and Q
(D) M, N, and P; M, N, and O
(E) N, O, and P; O, P, and Q

3. If the members of the Exam Control Committee are M, N, and Q, and if the Administrative Committee is to have as many members in common with the Exam Control Committee as the rules allow, the Administrative Committee must consist of:

(A) L, M, and N      (B) M, N, and Q      (C) M, O, and Q
(D) N, P, and Q      (E) O, P, and Q

4. If L, M, and N make up the Exam Control Committee, and N, P, and Q make up the Administrative Committee, which of these Committee members could yield his or her place on a Committee to O without necessitating any other membership changes?

(A) L      (B) M      (C) N      (D) P      (E) Q

5. If L and O are each selected for a Committee, and only Q is selected for both Committees, which of the following must be true?

(A) M is selected for the same Committee as N.
(B) N is selected for the same Committee as P.
(C) N is selected for the same Committee as O.
(D) L is selected for a different Committee than P.
(E) O is selected for a different Committee than P.

6. If O and Q are both selected for the Exam Control Committee, and if L is selected for the Administrative Committee, each of the following pairs of people could be the other two members of the Administrative Committee EXCEPT:

(A) M and N      (B) M and Q      (C) N and P      (D) N and Q      (E) P and Q

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