Questions 15-18
A weight-lifting contest was first held in 1971 at Cambria College and was held there once a year every succeeding year until it was discontinued after the 1977 contest. In its short history it had exactly four winners: teams P, Q, R, and S. The results were in part as follows:
There were no ties.
S was the only team to win in consecutive years. Neither p nor R won in the first year or the last.
Q did not win in any even-numbered year.
15. If S won in 1971 and also won in 1977, which of the following must be true?
(A) If R won in 1972, p won in 1976.
(B) If Q won twice, S won in 1972.
(C) If S won three times in a row, Q won in 1975.
(D) If P and R won in consecutive year, Q won only once.
(E) If P and R won in even-numbered years only, S won four times.
16. If Q won in 1971 and in 1973 only, and R won in 1972, all of the following must be true
EXCEPT:
(A) If P won in 1976, S won in 1974.
(B) If R won in 1974, p won in 1975.
(C) If R won in 1975, S won in 1976.
(D) If S won three times in a row, p won in 1974.
(E) If S won in 1974. S also won in 1975.
17. If the list of winners from 1971 to 1977 includes the sequence QPQRS, which of the following could be true?
Ⅰ. S won in 1971 and then won again in 1973.
Ⅱ. S won in 1971 and then won again in 1977.
Ⅲ Q won in 1971.
(A) Ⅰcould, but Ⅱand Ⅲ could not
(B) Ⅱcould, but Ⅰand Ⅲcould not
(C) Ⅰcould, and Ⅱcould, but Ⅲcould not
(D) Ⅰcould, and Ⅲ could, but Ⅱcould not
(E) Ⅱcould, and Ⅲ could, but I could not
18. For which of the following partial lists of winners, given in the order of the years from 1971 to 1977, is there only one way of substituting winners for the blanks?
(A) _, R, P, _, P, S, _
(B) _, S, S, R, _, R, _
(C) S, S, S, _, Q, _, Q
(D) _, P, R, P, R, _, _
(E) S, S, _, P, Q, R, _
Questions 19-22
Each of seven objects-T, U, V, W, X, Y, and Z-is placed either on the lower, middle, or top shelf of a three-shelf bookcase that contains no other objects.
At least two objects are on the top shelf.
No more than four objects are on any shelf.
T and U are on different shelves.
V is either one shelf or two shelves above the shelf that X is on.
W is either one shelf or two shelves above the shelf that X is on.
19. If V and W are the only object on one of the shelves, and four objects are on the middle shelf, which of the following must be true?
(A) T is on the middle shelf.
(B) U is on the bottom shelf.
(C) X is on the bottom shelf.
(D) Y is on the top shelf.
(E) Z is on the middle shelf.
20. If al the objects are on two shelves, which of the following must be true?
(A) At least three objects are on the top shelf.
(B) No more than three objects are on the middle shelf.
(C) T, V, and W are on the top shelf.
(D) U is on the top shelf.
(E) X is on the bottom shelf.