The workweek in a small business in a five-day workweek running from Monday through Friday. In each workweek, activities L, M, N, O, and P must all be done. The work is subject to the following restrictions:
L must be done earlier in the week than O and earlier than P.
M must be done earlier in the week than N and earlier than O.
No more than one of the activities can ever be done on any one day.
1. Which of the following is an acceptable schedule of activities with the activities listed from left to right in the order from Monday through Friday?
(A) L, M, N, O, P
(B) M, N, O, N, M
(C) O, N, L,, P, M
(D) P, O, L, M, L
(E) P, O, L, M, N
2. Which of the following pairs of activities could be done on Monday and Tuesday, respectively, of some week?
(A) Land O
(B) M and L
(C) M and P
(D) N and O
(E) O and M
3. If P is earlier than M on the schedule for some week, which of the following must also be true of that schedule?
(A) L is earlier than M.
(B) N is earlier than M.
(C) N is earlier than O.
(D) O is earlier than L.
(E) O is earlier than P.
4. If P and N are done or Thursday and Friday, respectively, which of the following must be true?
(A) L is done on Tuesday.
(B) L is done on Wednesday.
(C) M is done on Monday.
(D) O is done on Tuesday.
(E) O is done on Wednesday.
5. Which of the following could appear on the schedule for some week?
(A) L on Friday
(B) M on Thursday
(C) N on Monday
(D) O on Monday
(E) P on Tuesday
6. The one day of the week for which any one of the five activities could be scheduled while still allowing the other four activities to be scheduled is
7. Weeds and trees illustrate extreme opposites of ecological adaptation. Weeds put most of their energy into production and dispersal of the season's seeds and then die. Trees put most of their energy into sustaining their own growth and competitive ability over a long life span, while each season's seed production is relatively moderate.
It can be inferred from the passage above that the author uses which of the following criteria in judging weeds and trees to be opposites?
(A) The time it takes weed seeds and tree seeds respectively to germinate
(B) The total number of seeds that weeds and trees scatter over a given area in their respective habitats
(C) The differential dependence of weeds and trees on climatic stability from growing season to glowing season
(D) The ratio between a season's seed production and overall life span for weeds and trees, respectively
(E) The ratio between seeds that are produced and seeds that develop into mature specimens
8. Buying on credit may induce many consumers to buy things they do not really want, but it also allows them to take advantage of bargains when they are short of cash. Anyone who takes advantage of this latter possibility saves money by buying on credit.
Which of the following is an assumption made in the passage above?
(A) Credit is available to everyone who wants it.
(B) The cost of credit does not exceed the savings on purchases that credit made possible.
(C) Consumers who use credit wisely buy only bargains with it.
(D) Most unnecessary purchases are made on credit.
(E) It is difficult to use credit with restraint if it is available to consumers at bargain rates.
9. When the chemical vianzone is applied to any clear solution containing sodium chlorate, the solution becomes cloudy, and when vianzone is applied to a clear solution containing potassium nitrate, the solution becomes cloudy. Vianzone does not alter the appearance of a clear solution containing benzene. In a certain experiment, vianone was applied to a clear solution, and the solution remained clear. It can be validly concluded that the clear solution used in the experiment contained
(A) potassium nitrate
(B) both sodium chlorate and benzene
(C) no benzene
(D) no sodium chlorate
(E) neither potassium nitrate nor benzene
A clud's board of directors, composed of four women (Karla, Lenore, Marta, and Nancy) and three men (Ralph, Steven, and Ted), holds frequent meetings. A meeting can be held at Lenore's house, at Nancy's house, or at Steven's house.
Nancy cannot attend any meetings at Lenore's house.
Marta cannot attend any meeting on Tuesday or on Friday.
Karla cannot attend any meeting at Nancy's house.
Ralph can attend only those meetings that Ted also attends.
Steven can attend only those meeting that both Karla and Marta attend.
10. Which of the following can be the group that attends a meeting on Wednesday at Lenore's?
(A) Karla, Lenore, Marta, Ralph, and Steven
(B) Karla, Lenore, Ralph, Steven, and Ted
(C) Karla, Lenore, Marta, Nancy, and Ralph
(D) Karla, Lenore, Nancy, Steven, and Ted
(E) Karla, Lenore, Marta, Steven, and Ted
11. If all members of the board are to attend a particular meeting. it can be held on
(A) Monday at Lenore's
(B) Tuesday at Steven's
(C) Wednesday at Nancy's
(D) Thursday at Steven's
(E) Friday at Lenore's
12. If Steven attends a meeting on Thursday that is not held at his house, which of the following must be true?
(A) The group can include at most, two women.
(B) The meeting is at Lenore's house.
(C) Ralph is not at the meeting.
(D) Ted is not at the meeting.
(E) Nancy is at the meeting.
13. If Marta and Karla attend a meeting. but Ted is unable to attend, which of the following could be true?
(A) The meeting is held on Tuesday.
(B) The meeting is held on Friday.
(C) The meeting is held at Nancy's.
(D) The meeting is held at Steven's.
(E) The meeting is attended by six of the board members.
14. If the meeting is held on Tuesday at Lenore's, which of the following pairs can be among the board members who attend?
(A) Karla and Steven
(B) Ralph and Lenore
(C) Marta and Ralph
(D) Steven and Nancy
(E) Marta and Karla
15. If a meeting is held on Friday, which of the following board members CANNOT attend?
16. If Ted is unable to attend a meeting Tuesday at Nancy's, what is the largest possible number of board members who can attend?
Three actors, Roland, Simon, and Theresa, appear in a theatrical revue that consists of a sequence of skits.
In each of these skits either only one, or only two, or all three of the actors appear.
The casts for any two consecutive skits must have at least one member in common but cannot have all members in common.
The full cast for a given skit is on stage for the entire duration of that skit.
17. Which of the following can make up the casts in two consecutive skits?
(A) Roland alone followed by Theresa alone.
(B) Simon alone followed by Roland and Teresa together.
(C) Simon alone followed by Roland, Simon, and Theresa together.
(D) Simon and Theresa together followed by Roland alone.
(E) Roland, Simon, and Theresa together followed by Roland, Simon, and Theresa together.
18. If Simon appears alone in the first and fourth skits, which of the following must be true?
(A) Simon appears in all of the first four skits.
(B) Roland appears only once in the first four skits.
(C) Theresa appears both in the second and in the third skit.
(D) Roland, Simon, and Theresa together appear in the third skit.
(E) The cast for the fifth skit is the same as the cast for the third skit.
19. If Roland appears in the first skit and then does not appear in the next four skits, which of the following must be the cast in at least two of the first five skits?
Ⅰ Simon alone
Ⅱ Theresa alone
Ⅲ Simon and Theresa together
(B) Ⅲ only
(C) Ⅰand Ⅱ only
(D) Ⅱ and Ⅲ only
(E) Ⅰ,Ⅱ, and Ⅲ
20. Which of the following specifies the greatest number of skits, of which no two have the same cast that could appear consecutively on the program?
21. If in the first five skits Roland and Simon each appear exactly twice as many times as does Theresa, which of the following must be true?
(A) Roland and Simon appear together in the first skit.
(B) Roland and Theresa appear together in the second skit.
(C) Simon and Theresa appear together in the fourth skit.
(D) Theresa appears with at least one of the other actors in each of her skits.
(E) Simon appears with at least one of the other actors in each of his skits.
22. If in the first five skits Theresa appears one more time than does Simon, and Simon appears one more time than does Roland, which of the following could be true?
(A) Simon appears exactly twice.
(B) Theresa appears neither in the second not in the fourth skit.
(C) All of Roland's appearances are solo appearances.
(D) Roland appears in two skits in which Theresa does not appear.
(E) All three actors appear together in three skits.
23. The disparity between the location of jobs and the location of affordable housing has been growing throughout the country in recent years. Housing availability has not kept up with the growth of jobs in suburban regions; the consequences are long commutes from rural and urban areas for middle- income workers and inaccessibility of job opportunities for lower-income workers.
Which of the following is the most reliable inference that can be drawn from the passage above?
(A) Lower-income workers cannot afford the expense of long commutes to jobs.
(B) Suburban housing is becoming less expensive.
(C) Middle-income workers tend to live closer to their places of work than do lower- income workers.
(D) Housing availability for workers has been an important factor in decisions to relocate businesses.
(E) Affordable housing in urban areas has become less available in recent years.
24. Ken and Lou will eat together at a restaurant only if Jan comes along with them. Jan will go only to restaurants in her neighborhood, which is several miles from the downtown area. Manuel will go to a restaurant only if Ken also goes.
As long as the statements above are true, which of the following must also be true?
(A) Manuel does not eat at a restaurant with Jan.
(B) Lou does not eat at a restaurant with Manuel and Jan.
(C) Ken, Manuel, and Lou do not eat together at a restaurant.
(D) Manuel does not eat at a restaurant in the downtown area.
(E) Ken and Lou do not eat together at a restaurant in the downtown area.
25. Scientific journals published in the United States characteristically refer only to articles written in English. This is not because there are no interesting scientific developments reported in other languages, but because of a basic linguistic ignorance on the part of scientists in the United States. This ignorance inevitably results in a failure to benefit from scientific progress made outside the United States.
Which of the following, if true, tends to confirm the conclusion above?
(A) Scientists in other countries usually read English-language journals.
(B) Important scientific findings are eventually published in English-language journals.
(C) The linguistic ignorance of scientists is a symptom of a more general ignorance of foreign languages in the United States.
(D) Many experiments reported in scientific journals published in the United States unknowingly repeated studies done in non- English-speaking countries.
(E) Scientific progress is universal and cannot be limited to a single country.