(E) Ulla, Ruth, Thea
18. If the order of contestants in one round is Sandra, Ruth, Thea. Ulla, and if none of the contestants is eliminated in that round, it must be true that in the next round
(A) Ruth is third (B) Sandra is second
(C) Thea is first (D) Ulla is first
(E) Ulla is fourth
19. The elimination of which of the following pairs of contestants in a round in which all four contestants competed would have the consequence that the rel- ative position of the remaining contestants remains unchanged?
(A) Those competing first and second
(B) Those competing first and third
(C) Those competing second and third
(D) Those competing second and fourth
(E) Those competing third and fourth
20. If the order of contestants in a round in which no one fails is Ruth, Thea, Ulla, Sandra, the order of contestants in the next round could be which of the following?
(A) Ruth, Sandra, Ulla, Thea
(B) Sandra, Ruth, Ulla, Thea
(C) Sandra, Ulla, Ruth, Thea
(D) Thea, Ruth, Ulla, Sandra
(E) Ulla, Ruth, Thea, Sandra
21. If none of the four contestants is eliminated in the course of the first tow rounds, and if the order of contestants in the third round is the same as it was in the first round, which of the following must have been the two reorderings executed so far?
(A) X, twice (B) Z, twice
(C) X, followed by Y (D) Y, followed by X
(E) Z, followed by Y
22. If the order of contestants in one round is Thea, Sandra, Ulla, Ruth, and if Sandra remains in second position afterward, which of the following could have happened?
(A) None of the contestants was eliminated in the round, and X was executed.
(B) Ruth alone was eliminated in the round, and X was executed.
(C) Thea alone was eliminated in the round, and Y was executed.
(D) Ulla alone was eliminated in the round, and Z was executed.
(E) Thea alone was eliminated in the round, and Z was executed.
23. M is heavier than Q, but it is lighter than R. S is heavier than Q and it is also heavier than R. U is heavier than Q and it is also heavier than R. If the statements above are true, one can conclude with certainty that T is heavier than M if one knows addition that
(A) S weighs the same as U weighs
(B) S is heavier than T
(C) T is heavier than Q
(D) T is heavier than U
(E) U is heavier than M
24. The cost of the average computer logic device is falling at the rate of 25 percent per year, and the cost of the average computer memory device at the rate of 40 percent per year. It can be concluded that if these rates of cost decline remain constant for a period of three years, at the end of that time the cost of the average computer memory device will have declined by a greater amount than the cost of the average computer logic device.
Accurate information about which of the following would be most useful in evaluating the correctness of the conclusion above?
(A) The number of logic devices and memory devices projected to be purchased during the next three years
(B) The actual prices charged for the average com- puter logic device and the average computer memory device
(C) The compatibility of different manufacturers' logic devices and memory devices
(D) The relative durability of logic devices and memory devices
(E) The average number of logic devices and mem- ory devices needed for an average computer system
25. Earthquakes, volcanic eruptions, and unusual weather have caused many more natural disasters adversely affecting people in the past decade than in previous decades. We can conclude that the planet Earth as a natural environment has become more inhospitable and dangerous, and we should employ the weather and earth sciences to look for causes of this trend.
The conclusion drawn above is most seriously weakened if which of the following is true?
(A) The weather and earth sciences have provided better early warning systems for natural disasters in the past decade than in previous decades.
(B) International relief efforts for victims of natural disasters have been better organized in the past decade than in previous decades.
(C) There are records of major earthquakes, volcanic eruptions, droughts, landslides, and floods occurring in the distant past, as well as in the recent past.
(D) Population
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