Part 1
Answer questions 1 through 3 on the basis of the
information below.
The government of an island nation is in the process of deciding how to spend its limited
income. It has $7 million left in its budget and eight programs to choose among. There is no provision in the constitution to have a surplus, and each program has requested the minimum amount they need; in other words, no program may be partially funded. The programs and their funding requests are:
■ Hurricane preparedness: $2.5 million
■ Harbor improvements: $1 million
■ School music program: $0.5 million
■ Senate office building remodeling: $1.5 million
■ Agricultural subsidy program: $2 million
■ National radio: $0.5 million
■ Small business loan program: $3 million
■ International airport: $4 million
1. If the legislature decides to fund the agricultural
subsidy program, national radio, and
the small business loan program, the only
other single program that can be funded is
a. hurricane preparedness.
b. harbor improvements.
c. school music program.
d. senate office building remodeling.
e. international airport.
2. If the legislature decides to fund the agricultural
subsidy program, national radio, and
the small business loan program, what two
other programs could they fund?
a. harbor improvements and international
airport
b. harbor improvements and school music
program
c. hurricane preparedness and school music
program
d. hurricane preparedness and international
airport
e. harbor improvements and hurricane
preparedness
3. Senators from urban areas are very concerned
about assuring that there will be
funding for a new international airport. Senators
from rural areas refuse to fund anything
until money for agricultural subsidies is
appropriated. If the legislature funds these
two programs, on which of the following
could they spend the rest of the money?
a. the school music program and national
radio
b. hurricane preparedness
c. harbor improvements and the school music
program
d. small business loan program
e. national radio and senate office building
remodeling
Answer questions 4 through 5 on the basis of the
information below.
A weekly television show routinely stars six actors, J, K, L, M, N, and O. Since the show has been on the air for a long time, some of the actors are good friends and some do not get along at all. In an effort to keep peace, the director sees to it that
friends work together and enemies do not. Also, as the actors have become more popular, some of need time off to do other projects. To keep the schedule working, the director has a few things she must be aware of:
■ J will only work on episodes on which
M is working.
■ N will not work with K under any
circumstances.
■ M can only work every other week, in
order to be free to film a movie
■ At least three of the actors must appear
in every weekly episode.
4. In a show about L getting a job at the same
company J already works for and K used to
work for, all three actors will appear. Which
of the following is true about the other actors
who may appear?
a. M, N, and O must all appear.
b. M may appear and N must appear.
c. M must appear and O may appear.
d. O may appear and N may appear.
e. Only O may appear.
5. Next week, the show involves N’s new car and
O’s new refrigerator. Which of the following
is true about the other actors who may
appear?
a. M, J, L, and K all may appear.
b. J, L, and K must appear.
c. Only K may appear.
d. Only L may appear.
e. L and K must appear.
Answer questions 6 through 8 on the basis of the
information below.
A cinema complex with six movie theaters never shows the same movie in more than one theater. None of the theaters is the same size as any other, with number 1 being the largest and going in order to number 6, the smallest. The theater also has the following rules:
■ It will never show more than two R-rated
movies at once.
■ It will always show at least one G-rated movie
and one PG-rated movie in the two middlesized
theaters (theaters 3 and 4).
■ It will never show more than one foreign film
at a time and never in the biggest theater.
■ The starting times of movies will be staggered
by fifteen minutes and will always be on the
quarter hour.
■ Employees need twenty minutes between
showings to clean the theaters.
The cinema has the following films to choose from
this particular week:
Shout, rated R
Que Pasa, a Spanish film rated PG
Abra Cadabra, rated G
Lessons, rated R
Jealousy, rated PG
Mist, a Swedish film rated R
Trek, rated NC-17
Fly, rated G
6. Which one of the following is an acceptable
listing of films to show this week?
a. Shout,Mist, Trek, Que Pasa, Fly, and
Jealousy
b. Shout,Mist, Trek, Fly, Jealousy, and Abra
Cadabra
c. Que Pasa, Lessons,Mist, Shout, Abra
Cadabra, and Trek
d. Shout, Lessons,Mist, Trek, Fly, and Jealousy
e. Shout, Fly, Trek, Lessons, Abra Cadabra,
andMist
7. If Shout starts at 8:30, Mist at 8:15, Trek at
8:00, Fly at 7:45, Jealousy at 7:30, and Abra
Cadabra at 7:15, and each movie is exactly
two hours long, at what time will the next
showing of Trek start?
a. 10:00
b. 10:15
c. 10:30
d. 10:45
e. 11:00
8. The movies this week are showing in the following
theaters:
Theater 1: Shout
Theater 2: Trek
Theater 3: Abra Cadabra
Theater 4: Jealousy
Theater 5: Fly
Theater 6: Mist
Shout is doing the most business, followed by
Trek and, to the management’s surprise, Mist.
The management wants to move Mist to a
larger theater. Which theater is the most
logical?
a. theater 1
b. theater 2
c. theater 3
d. theater 4
e. theater 5
Answer questions 9 through 10 on the basis of the
information below.
The six top songs (not in order) of 1968 were: “People Got to Be Free” by The Rascals “Sittin’ on the Dock of the Bay” by Otis Redding “Honey” by Bobby Goldsboro
“Sunshine of Your Love” by Cream “Love Is Blue” by Paul Mauriat & His Orchestra “Hey Jude” by The Beatles Here are some rules about the order of the songs:
■ The Beatles and Cream do not appear next to
each other on the list.
■ The number 1 song is not “Love Is Blue.”
■ The songs by individual artists are numbers 3
and 4.
■ The Rascals appear right before Cream and
right after Otis Redding.
9. Which of the following is true?
a. Song #3 is “Honey” by Bobby Goldsboro.
b. Song #6 is “Hey Jude” by the Beatles.
c. Song #1 is “Sittin’ on the Dock of the Bay”
by Otis Redding.
d. Song #1 is “Sunshine of Your Love” by
Cream.
e. Song #3 is “Sittin’ on the Dock of the Bay”
by Otis Redding.
10. Which of the following is the correct order of
songs?
a. “Honey,” “Love Is Blue,” “People Got to Be
Free,” “Sunshine of Your Love,” “Sittin’ on
the Dock of the Bay,” “Hey Jude”
b. “Love Is Blue,” “Hey Jude,” “Honey,” “Sittin’
on the Dock of the Bay,” “People Got to Be
Free,” “Sunshine of Your Love”
c. “Sunshine of Your Love,” “People Got to Be
Free,” “Sittin’ on the Dock of the Bay,”
“Honey,” “Love Is Blue,” “Hey Jude”
d. “Hey Jude,” “Love Is Blue,” “Honey,” “Sittin’
on the Dock of the Bay,” “People Got to Be
Free,” “Sunshine of Your Love”
e. “Honey,” “Sittin’ on the Dock of the Bay,”
“Hey Jude,” “Sunshine of Your Love,”
“People Got to Be Free,” “Love Is Blue”
Answers:1.d. The total of the three programs (2 million + 0.5 million + 3 million) is 5.5 million. That leaves 1.5 million (7 million – 5.5 million), and the only single program needing that amount is the senate office building remodeling.
2.b. The only two programs that total 1.5 million dollars are the harbor improvements and school music program.
3. a. The total cost of the school music program and national radio is $1 million, the amount left after the international airport and agricultural subsidies are funded.
4. c. J will only work in episodes in which M is working and there are no restrictions on O’s schedule. However, N will not work with K, so M must appear and O may appear.
5.d. K will not work with N, so choices c and e are incorrect.M can only work every other week, so choice a is incorrect. Since M is not working, J will not work, so choice b is incorrect.
6.b. Only choice b contains no more than two R-rated movies (Shout and Mist), at least one G one PG (Fly, Abra Cadabra, and Jealousy), and only one foreign film (Mist).
7. c. The first showing of Trek will be over at 10:00. Then, the employees will need 20 minutes to clean the theater, which is 10:20. Since the movies always start on the quarter hour, the second showing of Trek will be 10:30.
8. e. Since Shout is doing the most business and Trek the second most, they should remain in the two largest theaters. Also, the theater never shows a foreign film in the largest theater. Theaters 3 and 4 must show the movies that are rated G and PG, so the movies that are there must stay there. The most logical choice is to put Mist in theater 5 and Fly in theater 6.
9. a. “Honey” and “Sittin’ on the Dock of the Bay” are either 3 and 4 or 4 and 3. The Rascals appear the list right after Otis Redding, who cannot be #3 (or he would be followed by Bobby Goldsboro), so “Honey” is #3 and “Sittin’ on the Dock of the Bay” is #4; therefore, choices c and e are incorrect. The Rascals are #5 (because
they are right after Otis Redding), and Cream appears right after them, so choice d is incorrect. Since Cream has song #6, it cannot be Hey Jude,” so choice b is incorrect.
10.d. In the previous question, it was determined that #3 is “Honey,” #4 is “Sittin’ on the Dock of the Bay,” #5 is “People Got to Be Free,” and #6 is “Sunshine of Your Love.” Since the #1 song is not “Love Is Blue,” #1 is “Hey Jude,” and #2 is “Love Is Blue.”
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Answer questions 1 through 3 on the basis of the
information below.
The government of an island nation is in the process of deciding how to spend its limited
income. It has $7 million left in its budget and eight programs to choose among. There is no provision in the constitution to have a surplus, and each program has requested the minimum amount they need; in other words, no program may be partially funded. The programs and their funding requests are:
■ Hurricane preparedness: $2.5 million
■ Harbor improvements: $1 million
■ School music program: $0.5 million
■ Senate office building remodeling: $1.5 million
■ Agricultural subsidy program: $2 million
■ National radio: $0.5 million
■ Small business loan program: $3 million
■ International airport: $4 million
1. If the legislature decides to fund the agricultural
subsidy program, national radio, and
the small business loan program, the only
other single program that can be funded is
a. hurricane preparedness.
b. harbor improvements.
c. school music program.
d. senate office building remodeling.
e. international airport.
2. If the legislature decides to fund the agricultural
subsidy program, national radio, and
the small business loan program, what two
other programs could they fund?
a. harbor improvements and international
airport
b. harbor improvements and school music
program
c. hurricane preparedness and school music
program
d. hurricane preparedness and international
airport
e. harbor improvements and hurricane
preparedness
3. Senators from urban areas are very concerned
about assuring that there will be
funding for a new international airport. Senators
from rural areas refuse to fund anything
until money for agricultural subsidies is
appropriated. If the legislature funds these
two programs, on which of the following
could they spend the rest of the money?
a. the school music program and national
radio
b. hurricane preparedness
c. harbor improvements and the school music
program
d. small business loan program
e. national radio and senate office building
remodeling
Answer questions 4 through 5 on the basis of the
information below.
A weekly television show routinely stars six actors, J, K, L, M, N, and O. Since the show has been on the air for a long time, some of the actors are good friends and some do not get along at all. In an effort to keep peace, the director sees to it that
friends work together and enemies do not. Also, as the actors have become more popular, some of need time off to do other projects. To keep the schedule working, the director has a few things she must be aware of:
■ J will only work on episodes on which
M is working.
■ N will not work with K under any
circumstances.
■ M can only work every other week, in
order to be free to film a movie
■ At least three of the actors must appear
in every weekly episode.
4. In a show about L getting a job at the same
company J already works for and K used to
work for, all three actors will appear. Which
of the following is true about the other actors
who may appear?
a. M, N, and O must all appear.
b. M may appear and N must appear.
c. M must appear and O may appear.
d. O may appear and N may appear.
e. Only O may appear.
5. Next week, the show involves N’s new car and
O’s new refrigerator. Which of the following
is true about the other actors who may
appear?
a. M, J, L, and K all may appear.
b. J, L, and K must appear.
c. Only K may appear.
d. Only L may appear.
e. L and K must appear.
Answer questions 6 through 8 on the basis of the
information below.
A cinema complex with six movie theaters never shows the same movie in more than one theater. None of the theaters is the same size as any other, with number 1 being the largest and going in order to number 6, the smallest. The theater also has the following rules:
■ It will never show more than two R-rated
movies at once.
■ It will always show at least one G-rated movie
and one PG-rated movie in the two middlesized
theaters (theaters 3 and 4).
■ It will never show more than one foreign film
at a time and never in the biggest theater.
■ The starting times of movies will be staggered
by fifteen minutes and will always be on the
quarter hour.
■ Employees need twenty minutes between
showings to clean the theaters.
The cinema has the following films to choose from
this particular week:
Shout, rated R
Que Pasa, a Spanish film rated PG
Abra Cadabra, rated G
Lessons, rated R
Jealousy, rated PG
Mist, a Swedish film rated R
Trek, rated NC-17
Fly, rated G
6. Which one of the following is an acceptable
listing of films to show this week?
a. Shout,Mist, Trek, Que Pasa, Fly, and
Jealousy
b. Shout,Mist, Trek, Fly, Jealousy, and Abra
Cadabra
c. Que Pasa, Lessons,Mist, Shout, Abra
Cadabra, and Trek
d. Shout, Lessons,Mist, Trek, Fly, and Jealousy
e. Shout, Fly, Trek, Lessons, Abra Cadabra,
andMist
7. If Shout starts at 8:30, Mist at 8:15, Trek at
8:00, Fly at 7:45, Jealousy at 7:30, and Abra
Cadabra at 7:15, and each movie is exactly
two hours long, at what time will the next
showing of Trek start?
a. 10:00
b. 10:15
c. 10:30
d. 10:45
e. 11:00
8. The movies this week are showing in the following
theaters:
Theater 1: Shout
Theater 2: Trek
Theater 3: Abra Cadabra
Theater 4: Jealousy
Theater 5: Fly
Theater 6: Mist
Shout is doing the most business, followed by
Trek and, to the management’s surprise, Mist.
The management wants to move Mist to a
larger theater. Which theater is the most
logical?
a. theater 1
b. theater 2
c. theater 3
d. theater 4
e. theater 5
Answer questions 9 through 10 on the basis of the
information below.
The six top songs (not in order) of 1968 were: “People Got to Be Free” by The Rascals “Sittin’ on the Dock of the Bay” by Otis Redding “Honey” by Bobby Goldsboro
“Sunshine of Your Love” by Cream “Love Is Blue” by Paul Mauriat & His Orchestra “Hey Jude” by The Beatles Here are some rules about the order of the songs:
■ The Beatles and Cream do not appear next to
each other on the list.
■ The number 1 song is not “Love Is Blue.”
■ The songs by individual artists are numbers 3
and 4.
■ The Rascals appear right before Cream and
right after Otis Redding.
9. Which of the following is true?
a. Song #3 is “Honey” by Bobby Goldsboro.
b. Song #6 is “Hey Jude” by the Beatles.
c. Song #1 is “Sittin’ on the Dock of the Bay”
by Otis Redding.
d. Song #1 is “Sunshine of Your Love” by
Cream.
e. Song #3 is “Sittin’ on the Dock of the Bay”
by Otis Redding.
10. Which of the following is the correct order of
songs?
a. “Honey,” “Love Is Blue,” “People Got to Be
Free,” “Sunshine of Your Love,” “Sittin’ on
the Dock of the Bay,” “Hey Jude”
b. “Love Is Blue,” “Hey Jude,” “Honey,” “Sittin’
on the Dock of the Bay,” “People Got to Be
Free,” “Sunshine of Your Love”
c. “Sunshine of Your Love,” “People Got to Be
Free,” “Sittin’ on the Dock of the Bay,”
“Honey,” “Love Is Blue,” “Hey Jude”
d. “Hey Jude,” “Love Is Blue,” “Honey,” “Sittin’
on the Dock of the Bay,” “People Got to Be
Free,” “Sunshine of Your Love”
e. “Honey,” “Sittin’ on the Dock of the Bay,”
“Hey Jude,” “Sunshine of Your Love,”
“People Got to Be Free,” “Love Is Blue”
Answers:1.d. The total of the three programs (2 million + 0.5 million + 3 million) is 5.5 million. That leaves 1.5 million (7 million – 5.5 million), and the only single program needing that amount is the senate office building remodeling.
2.b. The only two programs that total 1.5 million dollars are the harbor improvements and school music program.
3. a. The total cost of the school music program and national radio is $1 million, the amount left after the international airport and agricultural subsidies are funded.
4. c. J will only work in episodes in which M is working and there are no restrictions on O’s schedule. However, N will not work with K, so M must appear and O may appear.
5.d. K will not work with N, so choices c and e are incorrect.M can only work every other week, so choice a is incorrect. Since M is not working, J will not work, so choice b is incorrect.
6.b. Only choice b contains no more than two R-rated movies (Shout and Mist), at least one G one PG (Fly, Abra Cadabra, and Jealousy), and only one foreign film (Mist).
7. c. The first showing of Trek will be over at 10:00. Then, the employees will need 20 minutes to clean the theater, which is 10:20. Since the movies always start on the quarter hour, the second showing of Trek will be 10:30.
8. e. Since Shout is doing the most business and Trek the second most, they should remain in the two largest theaters. Also, the theater never shows a foreign film in the largest theater. Theaters 3 and 4 must show the movies that are rated G and PG, so the movies that are there must stay there. The most logical choice is to put Mist in theater 5 and Fly in theater 6.
9. a. “Honey” and “Sittin’ on the Dock of the Bay” are either 3 and 4 or 4 and 3. The Rascals appear the list right after Otis Redding, who cannot be #3 (or he would be followed by Bobby Goldsboro), so “Honey” is #3 and “Sittin’ on the Dock of the Bay” is #4; therefore, choices c and e are incorrect. The Rascals are #5 (because
they are right after Otis Redding), and Cream appears right after them, so choice d is incorrect. Since Cream has song #6, it cannot be Hey Jude,” so choice b is incorrect.
10.d. In the previous question, it was determined that #3 is “Honey,” #4 is “Sittin’ on the Dock of the Bay,” #5 is “People Got to Be Free,” and #6 is “Sunshine of Your Love.” Since the #1 song is not “Love Is Blue,” #1 is “Hey Jude,” and #2 is “Love Is Blue.”
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