SECTION 5
Questions 1-3
Six employees-L, M, N, O, P, and R-are being assigned to offices, each of which can accommodate two persons and no more than two. Each person must be assigned to exactly one office and must be assigned to that office either alone or else together with one other member of the group of six. Enough offices are available to permit any possible assignment of group members to offices, but the following restrictions must be observed:
M cannot share an office with N.
N cannot share an office with O.
P and R must share an office together.
1. Which of the following pairs of employees can be assigned to one office together?
(A) L and O (B) L and R (C) N and O
(D) M and N (E) P and M
2. If N is assigned to an office alone, which of the following must be true?
(A) No one other than N is assigned to an office alone.
(B) L shares an office with O.
(C) M is assigned to an office alone.
(D) The group occupies either 4 or 5 offices.
(E) The group occupies either 3 or 6 offices.
3. If P and R are the only ones who shares an office, how many offices are the minimum that can accom- modate the group?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
4. During the month of July in City X, the humidity was always 80 percent of higher whenever the tem- perature was 75°F or higher. Temperatures that month ranged from 65°to 95°F.
If the statements in the passage above are true, which of the following CANNOT be an accurate report of a temperature and humidity reading for City X in July?
(A) 77°F 81% (B) 76°F, 80%
(C) 75°F 79% (D) 74°F, 78%
(E) 73°F, 77%
5. Anyone who has owned a car knows that saving money in the short run by skimping on relatively minor repairs and routine maintenance will prove very costly in the long run. However, this basic truth is often forgotten by those who call for reduced government spending on social programs.
Which of the following is NOT implied by the anal- ogy above as a point of comparison?
(A) Money that is spent on repairs and mainte- nance helps to ensure the continued func- tioning of a car.
(B) Owners can take chances on not maintaining or repairing their cars.
(C) In order to keep operating, cars will normally need some work.
(D) The problems with a car will become worse if they are not attended to.
(E) A car will last for only a limited period of time and then must be replaced.
Which of the following, if true, would be most damaging to the argument above, provided that the athlete's heart rate is the same at high and low alti- tudes?
(A) Scientists have found that an athlete's heart requires a period of time to adjust to working at high altitudes.
(B) Scientists have found that the body's total volume of blood declines by as much as 25 percent at high altitudes.
(C) Middle-distance runners who train at high altitudes sometimes lose races to middle- distance runners who train at sea level.
(D) The performances of athletes in competitions at all altitudes have improved markedly dur- ing the past twenty years.
(E) At altitudes above 5,500 feet, middle-distance runners often better their sea-level running times by several seconds.
Questions 7-13
When they hold a meeting, seven company executives- T, U, V, W, X, Y, and Z-sit at a rectangular table. Three executives sit along one side of the table, and three sit along the other side, each directly opposite one of the other three. The seventh sits at the head of the table; there is no seat at the foot of the table.
U always sits in one of the two seats farthest from the head of the table.
Y and V always sit next to each other.
V never sits next to Z.
If Z does not sit at the head of the table, W sits there.
7. Which of the following is an acceptable seating arrangement of the executives, starting with U, moving toward the head of the table, and con- tinuing around the table?
(A) U, X, T, Z, V, Y, W
(B) U, T, X, Z, Y, V, W
(C) U, X, Z, Y, V, W, T
(D) U, Z, W, X, V, Y, T
(E) U, T, X, W, Z, V, Y
8. If W sits directly opposite T, X must sit next to which of the following executives?
(A) T (B) U (C) V (D) Y (E) Z
9. If T sits directly opposite Z and next to V, which executive must sit directly opposite U?
(A) V (B) W (C) X (D) Y (E) Z
10. If Z sits directly opposite X, which executive must sit next to U?
(A) T (B) V (C) W (D) Y (E) Z
11. If T and U sit immediately on either side of X, the executive sitting directly opposite X must be either
(A) W or V (B) W or Z (C) Y and V
(D) Y or Z (E) Z or V
12. If W sits directly opposite U and next to T, the two executives sitting immediately on either side of X must be
(A) Y and V (B) Y and W (C) T and Z
(D) T and V (E) Z and W
13. If Z sits at the head of the table, Y directly opposite U, and V immediately on X's left, what is the total number of possible seating arrange- ments of the executives?
A weaver who is working on six rugs-G, H, I, J, K, and L-is preparing a work schedule for a work week consisting of five consecutive workdays- Monday through Friday. Rugs G, H, and I are of pattern 1, rugs J and K are of pattern 2, and rug L is of pattern 3.The work must be scheduled in accor- dance with the following conditions:
The weaver must work on each of the six rugs dur- ing the work week.
The weaver cannot work on the same rug on two consecutive days.
On any day that the weaver works on rug G, the weaver must work on rug J; the weaver cannot work on rug L that day.
On any day that the weaver works on more than one rug, those rugs must all be of different pat- terns.
14. The weaver could schedule work on which of the following rugs for the same day?
(A) G, J, and L (B) G, I, and K
(C) G, J, and K (D) H, I, and L
(E) H, J, and L
15. If the weaver's decision is to work on rug J on Tuesday, the weaver CANNOT work on rug
(A) G on Monday (B) H on Tuesday
(C) I on Wednesday (D) K on Thursday
(E) L on Friday
16. If the weaver's decision is to work on rug G on Monday and Friday only, and on rug K on Wednesday only, the weaver must work on a rug of pattern 2 on exactly how many workdays?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Questions 17-22
Ruth, Sandra. Thea, and Ulla are the four finalists in a contest in which they perform set exercises on a balance beam. In each round of the contest, different exercises must be attempted. A contestant is eliminated the first time she fails at any of the exercises. To reduce any effect that the relative order of contestants within rounds may have on their performance, their relative order must be changed in going from one round to the next if it is possible to do so by executing one of the following three alternative reorderings between rounds:
X: Move the previously third contestant directly in front of the previously second contestant.
Y: Move the previously third contestant directly in front of the previously first contestant.
Z: Move the previously last contestant into first position.
If a contestant mentioned in a reordering has just been eliminated, that reordering cannot be exe- cuted.
If none of the reorderings can be executed, the remaining contestants must perform in the same order relative to each other as in the previous round.
17. If the order of contestants in one round is Ulla, Ruth, Sandra. Thea, and if Sandra is alone in being eliminated in that round, the order of contestants for the next round must be which of the following?
(A) Ruth, Thea, Ulla (B) Ruth, Ulla, Thea
(C) Thea, Ruth, Ulla (D) Thea, Ulla, Ruth
(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.
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 pressures and poverty have forced increasing numbers of people to live in areas prone to natural disasters.
(E) There have been no changes in the past decade in people's land-use practices that could have affected the climate.