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At the annual meeting of the Magicians' Alliance, 8 magicians-L, M, N, O, P, Q, R, and S- perform their latest illusions, one magician at a time. The order in which the magicians perform their illusions is consistent with the following conditions:
L and Q each perform at some time after P. S performs at some time before O and L. M performs at some time before S. P performs at some time after N. S and N each perform at some time after R.
1. Which one of the following could be the order in which the magicians perform their illusions?
(A) M, N, R, S, P, Q, L, O (B) S, M, R, N, P, L, Q, O (C) R, N, M, P, O, S, Q, L (D) R, M, S, L, N, P, Q, O (E) M, R, S, N, O, P, Q, L
2. Which one of the following magicians CANNOT perform third?
(A) M (B) N (C) O (D) P (E) S
3. If O is the fourth magician to perform, then which one of the following must be true?
(A) M is the second magician to perform. (B) L is the fifth magician to perform. (C) P is the sixth magician to perform. (D) Q is the seventh magician to perform. (E) L is the eighth magician to perform.
4. If P performs before S, then each of the following must be false EXCEPT:
(A) R is the third magician to perform. (B) S is the fourth magician to perform. (C) P is the fifth magician to perform. (D) Q is the sixth magician to perform. (E) S is the seventh magician to perform.
5. If R performs after M and O performs before P, then which one of the following could be true?
(A) M is the second magician to perform. (B) O is the third magician to perform. (C) N is the fourth magician to perform. (D) S is the fifth magician to perform. (E) L is the sixth magician to perform. |
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