Analytical Reasoning Question No. 75
A store owner is setting up several mouse boxes, each to contain accurately six mouse so chosen from varieties M, N, O, P, Q, R, and S that none of the mouse in any given box will fight. Mouse of any of the varieties above can be placed in a box together except for the following restrictions:
1. Mouse of varieties M will fight with mouse of varieties O, Q, and R.
2. Mouse of varieties P will fight with mouse of varieties N and R.
3. If three or more mouse of varieties P are in one box, they will fight with each other.
4. Mouse of varieties Q will fight with mouse of varieties S.
5. If a mouse of varieties N is to be in a box, at least one mouse of varieties R must also be in the box.
1. If a box is to contain mouse of exactly three different varieties, these varieties could be
(A) M, N, and P
(B) M, P, and R
(C) N, O, and P
(D) O, P, and Q
(E) P, Q, and S
2. If there are to be exactly two varieties represented in a box, and three mouse of varieties Q are to be in the box, the other three mouse in that box could be from which of the following varieties?
(A) M
(B) N
(C) O
(D) P
(E) S
3. If a box is to contain mouse of exactly four different varieties, it CANNOT contain mouse of varieties
(A) M
(B) N
(C) O
(D) Q
(E) S
4. Mouse of which of the following varieties could be put into a box with mouse of varieties N?
(A) M and P
(B) M and Q
(C) O and P
(D) O and R
(E) P and R
1. Mouse of varieties M will fight with mouse of varieties O, Q, and R.
2. Mouse of varieties P will fight with mouse of varieties N and R.
3. If three or more mouse of varieties P are in one box, they will fight with each other.
4. Mouse of varieties Q will fight with mouse of varieties S.
5. If a mouse of varieties N is to be in a box, at least one mouse of varieties R must also be in the box.
1. If a box is to contain mouse of exactly three different varieties, these varieties could be
(A) M, N, and P
(B) M, P, and R
(C) N, O, and P
(D) O, P, and Q
(E) P, Q, and S
2. If there are to be exactly two varieties represented in a box, and three mouse of varieties Q are to be in the box, the other three mouse in that box could be from which of the following varieties?
(A) M
(B) N
(C) O
(D) P
(E) S
3. If a box is to contain mouse of exactly four different varieties, it CANNOT contain mouse of varieties
(A) M
(B) N
(C) O
(D) Q
(E) S
4. Mouse of which of the following varieties could be put into a box with mouse of varieties N?
(A) M and P
(B) M and Q
(C) O and P
(D) O and R
(E) P and R
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