Question: If males are assigned to Veblen South, which one of the following is a complete and accurate list of the wings that CANNOT be assigned males?

Richards North, Tuscarora North, Wisteria South

Richards North, Tuscarora North, Veblen North, Wisteria South

Richards North, Richards South, Tuscarora North, Veblen North, Wisteria South


A school has exactly four dormitories that are to be fully occupied—Richards, Tuscarora, Veblen, and Wisteria—each consisting entirely of a North wing and a South wing. The following rules govern assignment of students to dormitory wings: Each wing is assigned only male students or only female students. Exactly three wings have males assigned to them. Richards North and Tuscarora North are assigned females. If a dormitory has males assigned to one of its wings, then its other wing is assigned females. If males are assigned to Veblen South, then Wisteria North is assigned males.

Question: If Tuscarora South is assigned females, then it could be true that females are assigned to both

Richards South and Wisteria North
Richards South and Wisteria South
Veblen North and Wisteria North
Veblen South and Wisteria South
Veblen South and Veblen North


Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant attends exactly two sessions, which are on different topics and on different days. Neither Maria nor Suki attends any session on investing. Tate does not attend any session on the third day. At most two Capital employees attend any given session together.

Question: What is the maximum number of sessions attended by at least one Capital employee?


Question: Which one of the following must be false?

Maria attends sessions only on the first two days.

Suki attends sessions only on the last two days.

Exactly two Capital employees attend a session together on the second day.

Exactly one session is attended by one or more Capital employees on the second day.

Exactly three sessions are attended by one or more Capital employees on the third day.


Question: If exactly two sessions on the third day are attended by one or more Capital employees, then which one of the following must be true?

Exactly two sessions on the first day are attended by one or more Capital employees.

Exactly two sessions on the second day are attended by one or more Capital employees.

Maria and Suki do not attend any session together.

Maria and Tate do not attend any session together.


Question: Each of the following is possible EXCEPT:

Every session attended by at least one Capital employee is attended by exactly one Capital employee.

Every session attended by at least one Capital employee is attended by exactly two Capital employees.

Every session attended by Maria is also attended by Suki.

Every session attended by Suki is also attended by Tate.

Every session attended by Tate is also attended by Maria.


Question: If all three sessions on the first day are attended by one or more Capital employees, then which one of the following must be false?

Maria and Suki attend a session together on the third day.

Suki and Tate attend a session together on the second day.

Maria attends a session on hiring on the second day.

Suki attends a session on regulations on the third day.

Tate attends a session on investing on the first day.


Question: If Maria and Tate are the only Capital employees to attend a session on the first day, then each of the following could be true EXCEPT:

Maria and Suki attend exactly two sessions together.

Maria and Tate attend exactly two sessions together.

Suki and Tate attend exactly one session together.

Maria attends a session on regulations on the second day.

Tate attends a session on hiring on the second day.


Each of exactly six lunch trucks sells a different one of six kinds of food: falafel, hot dogs, ice cream, pitas, salad, or tacos. Each truck serves one or more of exactly three office buildings: X, Y, or Z. The following conditions apply: The falafel truck, the hot dog truck, and exactly one other truck each serve Y. The falafel truck serves exactly two of the office buildings. The ice cream truck serves more of the office buildings than the salad truck. The taco truck does not serve Y. The falafel truck does not serve any office building that the pita truck serves. The taco truck serves two office buildings that are also served by the ice cream truck.

Question: Which one of the following could be a complete and accurate list of each of the office buildings that the falafel truck serves?


Question: For which one of the following pairs of trucks must it be the case that at least one of the office buildings is served by both of the trucks?

the hot dog truck and the pita truck
the hot dog truck and the taco truck
the ice cream truck and the pita truck
the ice cream truck and the salad truck
the salad truck and the taco truck


Question: If the ice cream truck serves fewer of the office buildings than the hot dog truck, then which one of the following is a pair of lunch trucks that must serve exactly the same buildings as each other?

the falafel truck and the hot dog truck
the falafel truck and the salad truck
the ice cream truck and the pita truck
the ice cream truck and the salad truck
the ice cream truck and the taco truck


Question: Which one of the following could be a complete and accurate list of the lunch trucks, each of which serves all three of the office buildings?

the hot dog truck, the ice cream truck, the pita truck

the ice cream truck, the pita truck, the salad truck


Question: Which one of the following lunch trucks CANNOT serve both X and Z?

the hot dog truck
the ice cream truck
the pita truck
the salad truck
the taco truck


Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.

Question: Which one of the following could be an accurate list of the contestants who play in each of the four games?

first game: Pachai, Santiago; second game: Ofelia, Tyrone; third game: Pachai, Santiago; fourth game: Lulu, Nam

first game: Lulu, Nam; second game: Pachai, Santiago; third game: Ofelia, Tyrone; fourth game: Lulu, Santiago

first game: Pachai, Santiago; second game: Lulu, Tyrone; third game: Nam, Ofelia; fourth game: Lulu, Nam

first game: Nam, Santiago; second game: Nam, Ofelia; third game: Pachai, Santiago; fourth game: Lulu, Tyrone

first game: Lulu, Nam; second game: Santiago, Tyrone; third game: Lulu, Ofelia; fourth game: Pachai, Santiago


Question: Which one of the following contestants could play in two consecutive games?


Question: If Tyrone plays in the fourth game, then which one of the following could be true?

Nam plays in the second game.
Ofelia plays in the third game.
Santiago plays in the second game.
Nam plays a game against Lulu.
Pachai plays a game against Lulu.


Question: Which one of the following could be true?

Pachai plays against Lulu in the first game.

Pachai plays against Nam in the second game.

Santiago plays against Ofelia in the second game.

Pachai plays against Lulu in the third game.

Nam plays against Santiago in the fourth game.


Question: Which one of the following is a complete and accurate list of the contestants who CANNOT play against Tyrone in any game?

Lulu, Pachai
Nam, Ofelia
Nam, Pachai
Nam, Santiago
Ofelia, Pachai


Question: If Ofelia plays in the third game, which one of the following must be true?

Lulu plays in the third game.
Nam plays in the third game.
Pachai plays in the first game.
Pachai plays in the third game.
Tyrone plays in the second game.


The Export Alliance consists of exactly three nations: Nation X, Nation Y, and Nation Z. Each nation in the Alliance exports exactly two of the following five crops: oranges, rice, soybeans, tea, and wheat. Each of these crops is exported by at least one of the nations in the Alliance. The following conditions hold: None of the nations exports both wheat and oranges. Nation X exports soybeans if, but only if, Nation Y does also. If Nation Y exports rice, then Nations X and Z both export tea. Nation Y does not export any crop that Nation Z exports.

Question: Which one of the following could be an accurate list, for each of the nations, of the crops it exports?

Nation X: oranges, rice; Nation Y: oranges, tea; Nation Z: soybeans, wheat

Nation X: oranges, tea; Nation Y: oranges, rice; Nation Z: soybeans, wheat

Nation X: oranges, wheat; Nation Y: oranges, tea; Nation Z: rice, soybeans

Nation X: rice, wheat; Nation Y: oranges, tea; Nation Z: oranges, soybeans

Nation X: soybeans, rice; Nation Y: oranges, tea; Nation Z: soybeans, wheat


Question: If Nation X exports soybeans and tea, then which one of the following could be true?

Nation Y exports oranges.
Nation Y exports rice.
Nation Y exports tea.
Nation Z exports soybeans.
Nation Z exports tea.


Question: If Nation Z exports tea and wheat, then which one of the following must be true?

Nation X exports oranges.
Nation X exports tea.
Nation X exports wheat.
Nation Y exports rice.
Nation Y exports soybeans.


Question: It CANNOT be the case that both Nation X and Nation Z export which one of the following crops?


Question: Which one of the following pairs CANNOT be the two crops that Nation Y exports?

oranges and rice
oranges and soybeans
rice and tea
rice and wheat
soybeans and wheat


Each side of four cassette tapes—Tapes 1 through 4—contains exactly one of the following four genres: folk, hip-hop, jazz, and rock. The following conditions must apply: Each genre is found on exactly two of the eight sides. Tape 1 has jazz on at least one side, but neither hip-hop nor rock. Tape 2 has no jazz. Folk is not on any tape numbered exactly one higher than a tape that has any rock on it.

Question: Which one of the following could be an accurate matching of tapes with the musical genres found on them?

Tape 1: folk and jazz; Tape 2: folk and jazz; Tape 3: hip-hop and rock; Tape 4: hip-hop and rock

Tape 1: folk and jazz; Tape 2: folk and rock; Tape 3: hip-hop and jazz; Tape 4: hip-hop and rock

Tape 1: folk and jazz; Tape 2: folk and rock; Tape 3: two sides of jazz; Tape 4: two sides of hip-hop

Tape 1: hip-hop and jazz; Tape 2: folk and hip-hop; Tape 3: folk and jazz; Tape 4: two sides of rock

Tape 1: two sides of jazz; Tape 2: folk and rock; Tape 3: hip-hop and rock; Tape 4: folk and hip-hop


Question: Which one of the following must be true?

If Tape 1 has two sides of jazz, Tape 4 has at least one side of rock.

If Tape 2 has two sides of folk, Tape 3 has at least one side of hip-hop.

If Tape 2 has two sides of rock, Tape 4 has at least one side of folk.

If Tape 3 has two sides of folk, Tape 2 has at least one side of jazz.

If Tape 4 has two sides of hip-hop, Tape 3 has at least one side of folk.


Question: Which one of the following could be true?

Tape 1 has jazz on both sides while Tape 4 has folk and hip-hop.

Tape 2 has hip-hop on one side while Tape 3 has hip-hop and jazz.

Tape 3 has folk on both sides while Tape 4 has jazz and rock.

Tape 3 has jazz on one side while Tape 4 has folk on both sides.

Tapes 2 and 3 each have jazz on one side.


Question: Which one of the following could be true?

Tapes 1 and 4 each have a side of hip-hop.


Question: Which one of the following CANNOT be true?

Tape 2 has rock on both sides while Tape 3 has hip-hop on both sides.

Tape 3 has rock on both sides while Tape 2 has hip-hop on both sides.

Tape 3 has rock on both sides while Tape 4 has hip-hop on both sides.

Tape 4 has rock on both sides while Tape 2 has hip-hop on both sides.

Tape 4 has rock on both sides while Tape 3 has hip-hop on both sides.


A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.

Question: If French does not serve on any subcommittee with Magnus, which one of the following must be true?

French serves on a subcommittee with Hsia.

French serves on a subcommittee with Irving.

Irving serves on a subcommittee with Pinsky.

Magnus serves on a subcommittee with Ghauri.

Magnus serves on a subcommittee with Irving.


Question: If Pinsky serves on every subcommittee on which French serves and every subcommittee on which Ghauri serves, then which one of the following could be true?

Magnus serves on every subcommittee on which French serves and every subcommittee on which Ghauri serves.

Magnus serves on every subcommittee on which Hsia serves and every subcommittee on which Irving serves.

Hsia serves on every subcommittee on which French serves and every subcommittee on which Ghauri serves.

French serves on every subcommittee on which Pinsky serves.

Hsia serves on every subcommittee on which Pinsky serves.


Question: If Irving serves on every subcommittee on which Magnus serves, which one of the following could be true?

Magnus serves on all of the subcommittees.

Irving serves on more than one subcommittee.

Irving serves on every subcommittee on which Pinsky serves.

French serves on a subcommittee with Magnus.

Ghauri serves on a subcommittee with Magnus.


Question: Which one of the following could be true?

French serves on all three subcommittees.

Ghauri serves on every subcommittee on which Magnus serves and every subcommittee on which Pinsky serves.

Pinsky serves on every subcommittee on which Irving serves and every subcommittee on which Magnus serves.

Magnus serves on every subcommittee on which Pinsky serves, and Pinsky serves on every subcommittee on which Magnus serves.


Question: Which one of the following must be true?

Ghauri serves on at least two subcommittees.

French serves on a subcommittee with Hsia.

Ghauri serves on a subcommittee with Irving.

Magnus serves on a subcommittee with Pinsky.


Question: Which one of the following must be true?

Every subcommittee has either French or Ghauri as a member.

Every subcommittee has either Hsia or Irving as a member.

No subcommittee consists of French, Magnus, and Pinsky.

Some committee member serves on exactly two subcommittees.

Either Magnus or Pinsky serves on only one subcommittee.


In Crescentville there are exactly five record stores, whose names are abbreviated S, T, V, X, and Z. Each of the five stores carries at least one of four distinct types of music: folk, jazz, opera, and rock. None of the stores carries any other type of music. The following conditions must hold: Exactly two of the five stores carry jazz. T carries rock and opera but no other type of music. S carries more types of music than T carries. X carries more types of music than any other store in Crescentville carries. Jazz is among the types of music S carries. V does not carry any type of music that Z carries.

Question: Which one of the following could be true?

S carries folk and rock but neither jazz nor opera.

T carries jazz but neither opera nor rock.

V carries folk, rock, and opera, but not jazz.

X carries folk, rock, and jazz, but not opera.

Z carries folk and opera but neither rock nor jazz.


Question: Which one of the following could be true?

Of the five stores, only S and V carry jazz.

Of the five stores, only T and X carry rock.

Of the five stores, only S, T, and V carry opera.


Question: If exactly one of the stores carries folk, then which one of the following could be true?

S and V carry exactly two types of music in common.

T and S carry exactly two types of music in common.

T and V carry exactly two types of music in common.

V and X carry exactly two types of music in common.

X and Z carry exactly two types of music in common.


Question: Which one of the following must be true?

T carries exactly the same number of types of music as V carries.

V carries exactly the same number of types of music as Z carries.

S carries at least one more type of music than Z carries.

Z carries at least one more type of music than T carries.

X carries exactly two more types of music than S carries.


Question: If V is one of exactly three stores that carry rock, then which one of the following must be true?

S and Z carry no types of music in common.

S and V carry at least one type of music in common.

S and Z carry at least one type of music in common.

T and Z carry at least one type of music in common.

T and V carry at least two types of music in common.


Question: If S and V both carry folk, then which one of the following could be true?

S and T carry no types of music in common.

S and Z carry no types of music in common.

T and Z carry no types of music in common.

S and Z carry two types of music in common.

T and V carry two types of music in common.


Maggie's Deli is open exactly five days every week: Monday through Friday. Its staff, each of whom works on at least one day each week, consists of exactly six people—Janice, Kevin, Nan, Ophelia, Paul, and Seymour. Exactly three of them—Janice, Nan, and Paul—are supervisors. The deli's staffing is consistent with the following: Each day's staff consists of exactly two people, at least one of whom is a supervisor. Tuesday's and Wednesday's staffs both include Ophelia. Of the days Nan works each week, at least two are consecutive. Seymour does not work on any day before the first day Paul works that week. Any day on which Kevin works is the first day during the week that some other staff member works.

Question: Which one of the following could be an accurate staffing schedule?

Monday: Janice, Kevin Tuesday: Nan, Ophelia Wednesday: Nan, Paul Thursday: Kevin, Paul Friday: Janice, Seymour

Monday: Paul, Seymour Tuesday: Ophelia, Paul Wednesday: Nan, Ophelia Thursday: Kevin, Nan Friday: Janice, Seymour

Monday: Janice, Kevin Tuesday: Nan, Ophelia Wednesday: Nan, Ophelia Thursday: Kevin, Paul Friday: Paul, Seymour

Monday: Janice, Kevin Tuesday: Janice, Ophelia Wednesday: Nan, Ophelia Thursday: Nan, Seymour Friday: Kevin, Paul

Monday: Paul, Seymour Tuesday: Ophelia, Paul Wednesday: Nan, Ophelia Thursday: Janice, Kevin Friday: Nan, Paul


Question: If Kevin and Paul work Thursday, who must work Friday?


Question: Each of the following could be true EXCEPT:

Janice works Monday and Tuesday.
Kevin and Paul work Friday.
Seymour works Monday and Friday.
Janice and Kevin work Thursday.
Paul works Monday and Friday.


Question: Which one of the following CANNOT be the pair of staff that works Monday?

Janice and Seymour
Kevin and Paul
Paul and Seymour
Nan and Ophelia
Janice and Nan


Question: Which one of the following could be true?

Seymour works Monday and Paul works Tuesday.

Kevin works Monday, Wednesday, and Friday.

Nan works Wednesday with Ophelia and Thursday with Kevin.


In a repair facility there are exactly six technicians: Stacy, Urma, Wim, Xena, Yolanda, and Zane. Each technician repairs machines of at least one of the following three types—radios, televisions, and VCRs—and no other types. The following conditions apply: Xena and exactly three other technicians repair radios. Yolanda repairs both televisions and VCRs. Stacy does not repair any type of machine that Yolanda repairs. Zane repairs more types of machines than Yolanda repairs. Wim does not repair any type of machine that Stacy repairs. Urma repairs exactly two types of machines.

Question: For exactly how many of the six technicians is it possible to determine exactly which of the three types of machines each repairs?


Question: Which one of the following must be true?

Of the types of machines repaired by Stacy there is exactly one type that Urma also repairs.

Of the types of machines repaired by Yolanda there is exactly one type that Xena also repairs.

Of the types of machines repaired by Wim there is exactly one type that Xena also repairs.

There is more than one type of machine that both Wim and Yolanda repair.

There is more than one type of machine that both Urma and Wim repair.


Question: Which one of the following must be false?

Exactly one of the six technicians repairs exactly one type of machine.

Exactly two of the six technicians repair exactly one type of machine each.

Exactly three of the six technicians repair exactly one type of machine each.

Exactly one of the six technicians repairs exactly two types of machines.

Exactly three of the six technicians repair exactly two types of machines each.


Question: Which one of the following pairs of technicians could repair all and only the same types of machines as each other?

Stacy and Urma
Urma and Yolanda
Urma and Xena
Wim and Xena
Xena and Yolanda


Question: Which one of the following must be true?

There is exactly one type of machine that both Urma and Wim repair.

There is exactly one type of machine that both Urma and Xena repair.

There is exactly one type of machine that both Urma and Yolanda repair.

There is exactly one type of machine that both Wim and Yolanda repair.

There is exactly one type of machine that both Xena and Yolanda repair.


Three folk groups—Glenside, Hilltopper, Levon—and three rock groups—Peasant, Query, Tinhead—each perform on one of two stages, north or south. Each stage has three two-hour performances: north at 6, 8, and 10; south at 8, 10, and 12. Each group performs individually and exactly once, consistent with the following conditions: Peasant performs at 6 or 12. Glenside performs at some time before Hilltopper. If any rock group performs at 10, no folk group does. Levon and Tinhead perform on different stages. Query performs immediately after a folk group, though not necessarily on the same stage.

Question: Which one of the following could be a complete and accurate ordering of performances on the north stage, from first to last?

Glenside, Levon, Query
Glenside, Query, Hilltopper
Hilltopper, Query, Peasant
Peasant, Levon, Tinhead
Peasant, Query, Levon


Question: Which one of the following groups must perform earlier than 10?

Glenside Hilltopper Levon Peasant Tinhead


Question: Which one of the following groups could perform at 6?


Question: If Query performs at 12, then which one of the following could be an accurate ordering of the performances on the north stage, from first to last?

Glenside, Levon, Query
Peasant, Hilltopper, Tinhead
Peasant, Tinhead, Glenside
Peasant, Tinhead, Hilltopper
Peasant, Tinhead, Levon


Question: If a rock group performs at 10, then which one of the following must be true?

A folk group performs at 6.
A folk group performs at 8.
A folk group performs at 12.
A rock group performs at 8.
A rock group performs at 12.


Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: Which one of the following could be an accurate matching of each friend and the year in which she or he graduated?


Question: Which one of the following could have taken place in 1995?

Ramon graduated.
Ramon bought his first car.
Sue graduated.
Sue bought her first car.
Taylor graduated.


Question: Which one of the following must be false?

Two of the friends each bought his or her first car in 1991.

Two of the friends each bought his or her first car in 1992.

Two of the friends each bought his or her first car in 1993.

Two of the friends each bought his or her first car in 1994.

Two of the friends each bought his or her first car in 1995.


Question: Which one of the following must be true?

None of the three friends graduated in 1991.

None of the three friends graduated in 1992.

None of the three friends bought his or her first car in 1993.

None of the three friends graduated in 1994.

None of the three friends bought his or her first car in 1995.


Question: If Taylor graduated in the same year that Ramon bought his first car, then each of the following could be true EXCEPT:

Sue bought her first car in 1991.
Ramon graduated in 1992.
Taylor graduated in 1993.
Taylor bought his first car in 1994.
Ramon bought his first car in 1995.


Question: If Sue graduated in 1993, then which one of the following must be true?

Sue bought her first car in 1991.
Ramon bought his first car in 1992.
Ramon bought his first car in 1993.
Taylor bought his first car in 1994.
Taylor bought his first car in 1995.


A child eating alphabet soup notices that the only letters left in her bowl are one each of these six letters: T, U, W, X, Y, and Z. She plays a game with the remaining letters, eating them in the next three spoonfuls in accord with certain rules. Each of the six letters must be in exactly one of the next three spoonfuls, and each of the spoonfuls must have at least one and at most three of the letters. In addition, she obeys the following restrictions: The U is in a later spoonful than the T. The U is not in a later spoonful than the X. The Y is in a later spoonful than the W. The U is in the same spoonful as either the Y or the Z, but not both.

Question: Which one of the following could be an accurate list of the spoonfuls and the letters in each of them?

first: Y second: T, W third: U, X, Z
first: T, W second: U, X, Y third: Z
first: T second: U, Z third: W, X, Y
first: T, U, Z second: W third: X, Y
first: W second: T, X, Z third: U, Y


Question: If the Y is the only letter in one of the spoonfuls, then which one of the following could be true?

The Y is in the first spoonful.
The Z is in the first spoonful.
The T is in the second spoonful.
The X is in the second spoonful.
The W is in the third spoonful.


Question: If the Z is in the first spoonful, then which one of the following must be true?

The T is in the second spoonful.
The U is in the third spoonful.
The W is in the first spoonful.
The W is in the second spoonful.
The X is in the third spoonful.


Question: Which one of the following is a complete list of letters, any one of which could be the only letter in the first spoonful?


Question: If the T is in the second spoonful, then which one of the following could be true?

Exactly two letters are in the first spoonful.

Exactly three letters are in the first spoonful.

Exactly three letters are in the second spoonful.

Exactly one letter is in the third spoonful.

Exactly two letters are in the third spoonful.


A clown will select a costume consisting of two pieces and no others: a jacket and overalls. One piece of the costume will be entirely one color, and the other piece will be plaid. Selection is subject to the following restrictions: If the jacket is plaid, then there must be exactly three colors in it. If the overalls are plaid, then there must be exactly two colors in them. The jacket and overalls must have exactly one color in common. Green, red, and violet are the only colors that can be in the jacket. Red, violet, and yellow are the only colors that can be in the overalls.

Question: Which one of the following could be a complete and accurate list of the colors in the costume? Jacket Overalls

red red
red violet, yellow
violet green, violet
violet red, violet
violet red, violet, yellow


Question: If there are exactly two colors in the costume, then which one of the following must be false?

At least part of the jacket is green.
At least part of the jacket is red.
The overalls are red and violet.
The overalls are red and yellow.
The overalls are violet and yellow.


Question: If at least part of the jacket is green, then which one of the following could be true?

At least part of the overalls are yellow.

At least part of the overalls are violet.


Question: Which one of the following must be false?

Both green and red are colors used in the costume.

Both green and violet are colors used in the costume.

Both green and yellow are colors used in the costume.

Both red and violet are colors used in the costume.

Both violet and yellow are colors used in the costume.


Question: If there are exactly three colors in the costume, the overalls must be

entirely red or else red and violet plaid

entirely yellow or else violet and yellow plaid

entirely violet or else red and violet plaid


Three short seminars—Goals, Objections, and Persuasion—and three long seminars—Humor, Negotiating, and Telemarketing—will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions: Exactly one short seminar and exactly one long seminar will be given each day. Telemarketing will not be given until both Goals and Objections have been given. Negotiating will not be given until Persuasion has been given.

Question: Which one of the following could be an accurate schedule for the sales training conference?

first day: Persuasion followed by Negotiating second day: Objections followed by Telemarketing third day: Goals followed by Humor

first day: Objections followed by Humor second day: Goals followed by Telemarketing third day: Persuasion followed by Negotiating

first day: Objections followed by Negotiating second day: Persuasion followed by Humor third day: Goals followed by Telemarketing

first day: Objections followed by Goals second day: Telemarketing followed by Persuasion third day: Negotiating followed by Humor

first day: Goals followed by Humor second day: Persuasion followed by Telemarketing third day: Objections followed by Negotiating


Question: If Goals is given on the first day of the sales training conference, then which one of the following could be true?

Telemarketing is given on the second day.


Question: If Negotiating is given at some time before Objections, then which one of the following must be true?

Negotiating is given at some time before Goals.

Persuasion is given at some time before Goals.

Persuasion is given at some time before Objections.

Humor is given at some time before Objections.

Negotiating is given at some time before Humor.


Question: Which one of the following CANNOT be the second seminar given on the second day of the sales training conference?

Humor Persuasion Objections Negotiating Goals


Question: If Humor is given on the second day of the sales training conference, then which one of the following could be true?

Telemarketing is given on the first day.

Telemarketing is given on the second day.


The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: Which one of the following could be an accurate list of the members of each of the three highest-placing teams?

first place: Mei and O'Rourke second place: Pavlovich and Sethna third place: Navarro and Tsudama

first place: Mei and Pavlovich second place: Sethna and Tsudama third place: Navarro and O'Rourke

first place: Navarro and Sethna second place: Pavlovich and Tsudama third place: Mei and O'Rourke

first place: O'Rourke and Pavlovich second place: Navarro and Tsudama third place: Mei and Sethna

first place: Pavlovich and Sethna second place: O'Rourke and Tsudama third place: Mei and Navarro


Question: If Pavlovich is on the team from Hilltop High, then which one of the following could be true?

O'Rourke is on the first-place team.
Pavlovich is on the first-place team.
Mei is on the second-place team.
Navarro is on the second-place team.
Sethna is on the second-place team.


Question: If O'Rourke is on the second-place team, then which one of the following could be true?

Navarro is on the team from Fairview High.

O'Rourke is on the team from Gillom High.

Pavlovich is on the team from Hilltop High.

Tsudama is on the team from Gillom High.


Question: If Pavlovich and Tsudama are teammates, then for how many of the individuals can it be exactly determined where his or her team places?


Question: If Mei is on a team that places higher than the Hilltop team, then which one of the following could be true?

The Fairview team places first.
The Gillom team places second.
Navarro is on the second-place team.
O'Rourke is on the first-place team.
Pavlovich is on the first-place team.


Question: Sethna's teammate could be any one of the following EXCEPT:


A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: Which one of the following could be an accurate matching of ratings to the CDs that received those ratings?

one star: In Flight, Reunion; two stars: Nice; three stars: Headstrong; four stars: Quasi, Sounds Good

one star: In Flight, Reunion; two stars: Quasi, Sounds Good; three stars: Nice; four stars: Headstrong

one star: Nice; two stars: Headstrong; three stars: In Flight, Sounds Good; four stars: Quasi, Reunion

one star: Nice, Sounds Good; two stars: In Flight, Reunion; three stars: Quasi; four stars: Headstrong

one star: Sounds Good; two stars: Reunion; three stars: Nice, Quasi; four stars: Headstrong, In Flight


Question: If Headstrong is the only CD that received a rating of two stars, then which one of the following must be true?

In Flight received a rating of three stars.

Sounds Good received a rating of one star.


Question: If Reunion received the same rating as Sounds Good, then which one of the following must be true?

Headstrong received a rating of two stars.

In Flight received a rating of three stars.

Sounds Good received a rating of one star.


Question: If Nice and Reunion each received a rating of one star, then which one of the following could be true?

Headstrong received a rating of three stars.

Headstrong received a rating of four stars.

In Flight received a rating of three stars.

Sounds Good received a rating of two stars.

Sounds Good received a rating of three stars.


Question: Which one of the following CANNOT be true?

Quasi is the only CD that received a rating of three stars.

Quasi is the only CD that received a rating of four stars.

Reunion is the only CD that received a rating of one star.

Reunion is the only CD that received a rating of two stars.

Reunion is the only CD that received a rating of three stars.


Question: If Reunion is the only CD that received a rating of one star, then which one of the following could be true?

Headstrong received a rating of four stars.

In Flight received a rating of two stars.

Sounds Good received a rating of two stars.


Question: Which one of the following CANNOT have received a rating of four stars?

Headstrong
In Flight
Quasi
Reunion
Sounds Good


There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: Which one of the following could be the composition of each team and the argument each student prepares?

team 1: Little, opening; Gambini, final team 2: Veracruz, opening; Mitchum, final team 3: Saito, opening; Richardson, final

team 1: Mitchum, opening; Gambini, final team 2: Veracruz, opening; Little, final team 3: Richardson, opening; Saito, final

team 1: Richardson, opening; Gambini, final team 2: Mitchum, opening; Saito, final team 3: Little, opening; Veracruz, final

team 1: Gambini, opening; Mitchum, final team 2: Little, opening; Richardson, final team 3: Veracruz, opening; Saito, final

team 1: Gambini, opening; Mitchum, final team 2: Richardson, opening; Saito, final team 3: Little, opening; Veracruz, final


Question: If Gambini is on the same team as Mitchum, and if Gambini prepares the final argument for that team, then which one of the following could be true?

Little is on the same team as Veracruz, who prepares the opening argument for the team.

Richardson is on the same team as Saito, who prepares the opening argument for the team.

Richardson is on the same team as Saito, who prepares the final argument for the team.

Saito is on the same team as Veracruz, who prepares the opening argument for the team.

Saito is on the same team as Veracruz, who prepares the final argument for the team.


Question: Which one of the following could be true?

Gambini, who prepares a final argument, is on the same team as Richardson.

Gambini, who prepares a final argument, is on the same team as Veracruz.

Gambini, who prepares an opening argument, is on the same team as Little.

Little, who prepares an opening argument, is on the same team as Mitchum.

Mitchum, who prepares an opening argument, is on the same team as Saito.


Question: If Richardson is on the same team as Veracruz, then for exactly how many of the students can it be determined which of the arguments he or she prepares?


Question: If Little is on the same team as Richardson, then which one of the following must be true?

Saito is on the same team as Veracruz.
Gambini is on the same team as Mitchum.
Mitchum prepares a final argument.
Veracruz prepares a final argument.
Gambini prepares an opening argument.


Question: If Saito prepares an opening argument, then which one of the following pairs of students could be on the same team as each other?

Gambini and Little
Gambini and Saito
Little and Veracruz
Mitchum and Veracruz
Richardson and Veracruz


Four people—Grace, Heather, Josh, and Maria—will help each other move exactly three pieces of furniture—a recliner, a sofa, and a table. Each piece of furniture will be moved by exactly two of the people, and each person will help move at least one of the pieces of furniture, subject to the following constraints: Grace helps move the sofa if, but only if, Heather helps move the recliner. If Josh helps move the table, then Maria helps move the recliner. No piece of furniture is moved by Grace and Josh together.

Question: Which one of the following could be an accurate matching of each piece of furniture to the two people who help each other move it?

recliner: Grace and Maria; sofa: Heather and Josh; table: Grace and Heather

recliner: Grace and Maria; sofa: Heather and Maria; table: Grace and Josh

recliner: Heather and Josh; sofa: Grace and Heather; table: Josh and Maria

recliner: Heather and Josh; sofa: Heather and Maria; table: Grace and Maria

recliner: Josh and Maria; sofa: Grace and Heather; table: Grace and Maria


Question: If Josh and Maria help each other move the recliner, then which one of the following must be true?

Heather helps move the sofa.
Josh helps move the sofa.
Maria helps move the sofa.
Grace helps move the table.
Heather helps move the table.


Question: If Heather helps move each of the pieces of furniture, then which one of the following could be true?

Grace helps move the recliner.
Maria helps move the recliner.
Josh helps move the sofa.
Maria helps move the sofa.
Grace helps move the table.


Question: Which one of the following could be a pair of people who help each other move both the recliner and the table?

Grace and Josh
Grace and Maria
Heather and Josh
Heather and Maria
Josh and Maria


Question: If Josh and Maria help each other move the sofa, then which one of the following could be true?

Heather and Josh help each other move the recliner.

Heather and Maria help each other move the recliner.

Grace and Josh help each other move the table.

Grace and Maria help each other move the table.

Heather and Maria help each other move the table.


A town has exactly two public parks—Graystone Park and Landing Park—which are to be planted with North American trees. There are exactly four varieties of trees available—maples, oaks, sycamores, and tamaracks. The planting of the trees must be in accord with the following: Each of the parks is planted with exactly three of the varieties. At least one of the parks is planted with both maples and sycamores. Any park that is planted with oaks will also be planted with tamaracks. Graystone Park is planted with maples.

Question: Which one of the following could be a complete and accurate list of the varieties of trees planted in each of the parks?

Graystone Park: maples, oaks, sycamores Landing Park: maples, oaks, sycamores

Graystone Park: maples, oaks, tamaracks Landing Park: maples, oaks, tamaracks

Graystone Park: maples, sycamores, tamaracks Landing Park: maples, oaks, sycamores

Graystone Park: maples, sycamores, tamaracks Landing Park: maples, oaks, tamaracks

Graystone Park: oaks, sycamores, tamaracks Landing Park: maples, sycamores, tamaracks


Question: Which one of the following must be true?

Graystone Park is planted with sycamores.

The number of the parks planted with maples is equal to the number of the parks planted with sycamores.

The number of the parks planted with maples is greater than the number of the parks planted with sycamores.


Question: If both parks are planted with sycamores, which one of the following could be true?

The number of the parks planted with maples is equal to the number of the parks planted with oaks.

The number of the parks planted with maples is greater than the number of the parks planted with sycamores.

The number of the parks planted with oaks is equal to the number of the parks planted with sycamores.

Graystone Park is planted with both maples and oaks.

Landing Park is planted with both maples and oaks.


Question: Which one of the following must be false?

Exactly one of the parks is planted with maples.

Exactly one of the parks is planted with sycamores.


Question: Which one of the following could be true?

The number of the parks planted with oaks is equal to the number of the parks planted with tamaracks.

The number of the parks planted with oaks is greater than the number of the parks planted with sycamores.

Exactly one of the parks is planted with tamaracks.

Both parks contain exactly the same three varieties of trees as each other.


Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: Which one of the following could be the executives included in each of the site visits, with the sites listed in the order in which they are visited?

Farmington: Quinn Homestead: Rodriguez, Sasada Morningside: Taylor, Vandercar

Farmington: Quinn Homestead: Rodriguez, Vandercar Morningside: Sasada, Taylor

Farmington: Rodriguez Morningside: Quinn, Taylor Homestead: Sasada, Vandercar

Homestead: Sasada Farmington: Quinn Morningside: Rodriguez, Taylor, Vandercar

Morningside: Quinn Farmington: Rodriguez, Sasada Homestead: Taylor, Vandercar


Question: If the second of the three site visits includes both Rodriguez and Taylor, which one of the following must be true?

The second of the three site visits includes Sasada.

The second of the three site visits includes exactly three of the executives.


Question: If one of the site visits includes both Quinn and Sasada, which one of the following could be true?

The Farmington visit is the first of the three site visits.

The Homestead visit is the second of the three site visits.

One of the site visits includes only Vandercar.

The second of the three site visits includes Sasada.

The second of the three site visits includes exactly two of the executives.


Question: The executives who visit Homestead CANNOT be

Quinn and Vandercar only
Rodriguez and Taylor only
Sasada and Taylor only
Quinn, Sasada, and Vandercar
Rodriguez, Sasada, and Taylor


Question: If the Morningside visit includes both Quinn and Vandercar, which one of the following could be true?

One of the site visits includes both Rodriguez and Sasada.

The second of the three site visits includes exactly three of the executives.

The last of the three site visits includes exactly three of the executives.

The Homestead visit takes place earlier than the Morningside visit.

The Morningside visit takes place earlier than the Farmington visit.


Question: Which one of the following must be true?

The Farmington visit takes place earlier than the Morningside visit.

The site visit that includes Vandercar takes place earlier than the site visit that includes Rodriguez.

One of the first two site visits includes Sasada.

The second of the three site visits includes at least two of the executives.

At least one of the first two site visits includes only one of the executives.


Question: If the Farmington visit includes Sasada, which one of the following must be true?

One of the site visits includes exactly three of the executives.

The last of the three site visits includes Rodriguez.

The site visit that includes Vandercar also includes Quinn.


Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: Which one of the following could be an accurate matching of the actors to the days on which they audition?

Gombrich: Thursday, Friday Otto: Wednesday, Saturday Raines: Friday, Saturday

Gombrich: Thursday, Saturday Otto: Wednesday, Friday Raines: Friday, Saturday

Gombrich: Friday, Saturday Otto: Thursday, Saturday Raines: Wednesday, Friday

Gombrich: Wednesday, Thursday Otto: Wednesday, Saturday Raines: Thursday, Saturday

Gombrich: Wednesday, Friday Otto: Wednesday, Thursday Raines: Thursday, Saturday


Question: If Otto auditions on both Thursday and Saturday, then Gombrich could audition on both

Wednesday and Thursday
Wednesday and Friday
Thursday and Friday
Thursday and Saturday
Friday and Saturday


Question: Which one of the following CANNOT be true of the week's auditions?

Gombrich's last audition is on Thursday.


Question: Which one of the following pairs of days CANNOT be the two days on which Otto auditions?

Wednesday and Thursday
Wednesday and Friday
Wednesday and Saturday
Thursday and Friday
Thursday and Saturday


Question: Which one of the following could be true?

Otto auditions on Friday and on Saturday.

Raines auditions on Wednesday and on Friday.


Question: If Gombrich auditions on both Wednesday and Saturday, then which one of the following could be true?

Otto auditions on both Wednesday and Thursday.

Otto auditions on both Wednesday and Friday.

Otto auditions on both Wednesday and Saturday.

Raines auditions on both Wednesday and Saturday.

Raines auditions on both Thursday and Friday.


Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: Which one of the following could be the toys included in the display?

the lambeosaur, the plateosaur, the stegosaur, the ultrasaur, the velociraptor

the lambeosaur, the plateosaur, the stegosaur, the tyrannosaur, the ultrasaur

the iguanadon, the lambeosaur, the plateosaur, the stegosaur, the ultrasaur

the iguanadon, the lambeosaur, the plateosaur, the tyrannosaur, the velociraptor

the iguanadon, the lambeosaur, the stegosaur, the ultrasaur, the velociraptor


Question: If the tyrannosaur is not included in the display, then the display must contain each of the following EXCEPT:

a green iguanadon
a mauve velociraptor
a mauve lambeosaur
a mauve ultrasaur
a yellow plateosaur


Question: Which one of the following is a pair of toys that could be included in the display together?

a green lambeosaur and a mauve velociraptor

a green lambeosaur and a yellow tyrannosaur

a green lambeosaur and a yellow ultrasaur

a yellow tyrannosaur and a green ultrasaur

a yellow tyrannosaur and a red velociraptor


Question: If the display includes a yellow tyrannosaur, then which one of the following must be true?

The iguanadon is included in the display.

The plateosaur is not included in the display.

The display includes two yellow toy dinosaurs.

The display contains a green lambeosaur.

The display contains a mauve velociraptor.


Question: If both the iguanadon and the ultrasaur are included in the display, then the display must contain which one of the following?

a mauve tyrannosaur
a mauve ultrasaur
a yellow lambeosaur
a yellow plateosaur
a yellow ultrasaur


Question: If the display includes two green toys, then which one of the following could be true?

There is exactly one yellow toy included in the display.

The tyrannosaur is included in the display and it is green.

Neither the lambeosaur nor the velociraptor is included in the display.

Neither the tyrannosaur nor the velociraptor is included in the display.

Neither the ultrasaur nor the velociraptor is included in the display.


A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: Which one of the following is a possible allocation of grants in a particular calendar year?

first quarter: theater arts second quarter: wildlife preservation third quarter: medical services, youth services fourth quarter: theater arts

first quarter: wildlife preservation second quarter: medical services third quarter: theater arts fourth quarter: medical services, youth services

first quarter: youth services second quarter: wildlife preservation, medical services third quarter: theater arts fourth quarter: medical services, youth services

first quarter: medical services, theater arts second quarter: theater arts, wildlife preservation third quarter: youth services fourth quarter: medical services

first quarter: medical services, theater arts second quarter: wildlife preservation, youth services third quarter: theater arts fourth quarter: medical services, youth services


Question: Which one of the following CANNOT be true in a particular calendar year?

In each of the two quarters in which a medical services grant is awarded, no other grant is awarded.

Exactly two theater arts grants are awarded, one in the second quarter and one in the fourth quarter.

Exactly two youth services grants are awarded, one in the first quarter and one in the third quarter.

Two wildlife preservation grants and two youth services grants are awarded.

Three grants are awarded in the fourth quarter.


Question: If a wildlife preservation grant and a youth services grant are awarded in the same quarter of a particular calendar year, then any of the following could be true that year EXCEPT:

A medical services grant is awarded in the second quarter.

A theater arts grant is awarded in the first quarter.

A theater arts grant is awarded in the second quarter.

A wildlife preservation grant is awarded in the fourth quarter.

A youth services grant is awarded in the third quarter.


Question: If exactly two grants are awarded in just one of the four quarters of a particular calendar year, then which one of the following could be true that year?

Neither a medical services grant nor a youth services grant is awarded in the first quarter.

A wildlife preservation grant is awarded in the fourth quarter.

Both a youth services grant and a theater arts grant are awarded in the first quarter.

A youth services grant is awarded in the first quarter and a theater arts grant is awarded in the second quarter.


Question: Which one of the following CANNOT be true in a particular calendar year?

Three grants are awarded in a quarter, none of which is a medical services grant.

Exactly two grants are awarded in the first quarter and exactly two in the third quarter.

Exactly two grants are awarded in the first quarter and exactly two in the fourth quarter.

Theater arts grants are awarded in the first and fourth quarters, and no other grants are awarded in those two quarters.

Wildlife preservation grants are awarded in the second and fourth quarters, and no other grants are awarded in those two quarters.


Question: It is fully determined which grants are awarded for each quarter of a particular calendar year if which one of the following is true that year?

Three grants are awarded in the first quarter.

Three grants are awarded in the second quarter.

Three grants are awarded in the third quarter.


Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: Which one of the following could be an accurate matching of monuments to the years in which they were begun?


Question: What is the latest year in which L could have been begun?


Question: The years in which each of the monuments were begun can be completely determined if which one of the following is discovered to be true?

F was begun in 603.
G was begun in 602.
H was begun in 605.
M was begun in 602.
S was begun in 604.


Question: Which one of the following must be true?

F was begun in a later year than M.
F was begun in a later year than S.
H was begun in a later year than F.
H was begun in a later year than S.
M was begun in a later year than G.


Question: L must be the monument that was begun in 602 if which one of the following is true?

F was begun in 605.
G was begun in 601.
H was begun in 604.
M was begun in 601.
S was begun in 603.


Question: If M was begun in a later year than L, then which one of the following could be true?

F was begun in 603.
G was begun in 602.
H was begun in 605.
L was begun in 603.
S was begun in 604.


A law firm has seven departments—family law, health law, injury law, labor law, probate, securities, and tax law. The firm is to occupy a building with three floors—the bottom floor, the middle floor, and the top floor. Each floor can accommodate up to four departments, and no department is to be on more than one floor. Assignment of departments to floors is subject to the following constraints: Probate must be on the same floor as tax law. Health law must be on the floor immediately above injury law. Labor law must occupy an entire floor by itself.

Question: Which one of the following could be the assignment of departments to floors?

top floor: labor law middle floor: injury law, probate, tax law bottom floor: family law, health law, securities

top floor: family law, health law, probate middle floor: injury law, securities, tax law bottom floor: labor law

top floor: health law, probate, tax law middle floor: family law, injury law, securities bottom floor: labor law

top floor: health law, probate, tax law middle floor: injury law, securities bottom floor: family law, labor law

top floor: family law, health law, probate, tax law middle floor: labor law bottom floor: injury law, securities


Question: If injury law and probate are both assigned to the middle floor, which one of the following could be true?

Family law is assigned to the middle floor.

Health law is assigned to the middle floor.

Securities is assigned to the bottom floor.


Question: Which one of the following CANNOT be the assignment for any of the floors?

family law, health law, probate, and tax law

family law, injury law, probate, and tax law

family law, probate, securities, and tax law

health law, probate, securities, and tax law

injury law, probate, securities, and tax law


Question: If family law is assigned to the same floor as securities, which one of the following could be true?

Exactly one department is assigned to the middle floor.

Exactly four departments are assigned to the middle floor.

Exactly two departments are assigned to the bottom floor.

Exactly three departments are assigned to the bottom floor.

Exactly four departments are assigned to the bottom floor.


Question: If probate is assigned to the middle floor along with exactly two other departments, then which one of the following must be true?

Family law is assigned to the floor immediately above health law.

Family law is assigned to the floor immediately below labor law.

Family law is assigned to the same floor as securities.

Probate is assigned to the same floor as health law.

Probate is assigned to the same floor as injury law.


A community center will host six arts-and-crafts workshops—Jewelry, Kite-making, Needlepoint, Quilting, Rug-making, and Scrapbooking. The workshops will be given on three consecutive days: Wednesday, Thursday, and Friday. Each workshop will be given once, and exactly two workshops will be given per day, one in the morning and one in the afternoon. The schedule for the workshops is subject to the following constraints: Jewelry must be given in the morning, on the same day as either Kite-making or Quilting. Rug-making must be given in the afternoon, on the same day as either Needlepoint or Scrapbooking. Quilting must be given on an earlier day than both Kite-making and Needlepoint.

Question: Which one of the following is an acceptable schedule for the workshops, with each day's workshops listed in the order in which they are to be given?

Wednesday: Jewelry, Kite-making Thursday: Quilting, Scrapbooking Friday: Needlepoint, Rug-making

Wednesday: Jewelry, Quilting Thursday: Kite-making, Needlepoint Friday: Scrapbooking, Rug-making

Wednesday: Quilting, Needlepoint Thursday: Scrapbooking, Rug-making Friday: Jewelry, Kite-making

Wednesday: Quilting, Scrapbooking Thursday: Jewelry, Kite-making Friday: Rug-making, Needlepoint

Wednesday: Scrapbooking, Rug-making Thursday: Quilting, Jewelry Friday: Kite-making, Needlepoint


Question: Which one of the following workshops CANNOT be given on Thursday morning?

Jewelry Kite-making Needlepoint Quilting Scrapbooking


Question: Which one of the following pairs of workshops CANNOT be the ones given on Wednesday morning and Wednesday afternoon, respectively?

Jewelry, Kite-making
Jewelry, Quilting
Quilting, Scrapbooking
Scrapbooking, Quilting
Scrapbooking, Rug-making


Question: If Kite-making is given on Friday morning, then which one of the following could be true?

Needlepoint is given on Thursday afternoon.

Rug-making is given on Friday afternoon.

Scrapbooking is given on Wednesday afternoon.


Question: If Quilting is given in the morning, then which one of the following workshops CANNOT be given on Thursday?

Jewelry Kite-making Needlepoint Rug-making Scrapbooking


Question: How many of the workshops are there that could be the one given on Wednesday morning?


A travel magazine has hired six interns—Farber, Gombarick, Hall, Jackson, Kanze, and Lha—to assist in covering three stories—Romania, Spain, and Tuscany. Each intern will be trained either as a photographer's assistant or as a writer's assistant. Each story is assigned a team of two interns—one photographer's assistant and one writer's assistant—in accordance with the following conditions: Gombarick and Lha will be trained in the same field. Farber and Kanze will be trained in different fields. Hall will be trained as a photographer's assistant. Jackson is assigned to Tuscany. Kanze is not assigned to Spain.

Question: Which one of the following could be an acceptable assignment of photographer's assistants to stories?

Romania: Farber Spain: Hall Tuscany: Jackson

Romania: Gombarick Spain: Hall Tuscany: Farber

Romania: Gombarick Spain: Hall Tuscany: Lha

Romania: Gombarick Spain: Lha Tuscany: Kanze

Romania: Hall Spain: Kanze Tuscany: Jackson


Question: If Farber is assigned to Romania, then which one of the following must be true?

Gombarick is assigned to Spain.
Hall is assigned to Spain.
Kanze is assigned to Tuscany.
Lha is assigned to Spain.
Lha is assigned to Tuscany.


Question: If Farber and Hall are assigned to the same story as each other, then which one of the following could be true?

Farber is assigned to Tuscany.
Gombarick is assigned to Romania.
Hall is assigned to Romania.
Kanze is assigned to Tuscany.
Lha is assigned to Spain.


Question: If Farber is a writer's assistant, then which one of the following pairs could be the team of interns assigned to Romania?

Farber and Gombarick
Gombarick and Hall
Hall and Kanze
Kanze and Lha
Lha and Hall


Question: If Gombarick and Kanze are assigned to the same story as each other, then which one of the following could be true?

Farber is assigned to Romania.
Gombarick is assigned to Spain.
Hall is assigned to Romania.
Kanze is assigned to Tuscany.
Lha is assigned to Spain.


Question: Which one of the following interns CANNOT be assigned to Tuscany?