In a study of five brands of pain reliever, P, Q, R, S, and T, the brands were tested and ranked against each other as more or less effective per dose. The following results were obtained:
(1) P was more effective than Q.
(2) The effectiveness of R was less than that of S.
(3) T was the least effective brand tested.
(4) Q and R were equally effective.
(5) The effectiveness of S was greater than that of Q.
1. If the statements above giving the results of the study are true, which of the following must also be true?
(A) P and S were equally effective.
(B) P was the most effective brand tested.
(C) S was the most effective brand tested.
(D) R was less effective than P.
(E) T did not relieve pain.
2. All of the information in the results given above can be derived from which of the following groups of statements?
(A) Statements 1, 2, and 3
(B) Statements 1, 3, and 4
(C) Statements 2, 3, and 4
(D) Statements 1, 2, 3, and 4
(E) Statements 2, 3, 4, and 5
3. If a sixth brand, M, is tested and is found to be more effective than S, then which of the following must be true if the findings of the study are correct?
(A) M is the most effective of the six brands tested.
(B) At least four of the six brands tested are less effective that M.
(C) M is more effective than P.
(D) M is less effective than P.
(E) No more than four of the six brands tested are more effective than T.
4. If R is more expensive per dose than P, and T is less expensive per does than R, which of the following must be true, according to the study, for a consumer who wishes to buy a pain reliever with the greatest effectiveness for the amount spent per dose?
(A) P should be purchase instead of R.
(B) P should be purchased instead of T.
(C) T should be purchased instead of R.
(D) Q should be purchased instead of R if Q is the same price as S.
(E) Q should be purchased instead of T if Q is the same price as R.

