? Each table has at least two sponsors seated at it, and each [] each N For each team, exactly one juggler must be assigned to each position according to the following conditions: Each session will be taught by exactly one nurse and exactly one psychologist. Each professional teaches at least once. each meeting, each candidate will speak in one of five consecutive time In a certain recipe contest, each contestant submits two recipes, one for an appetizer and one for a main dish. Together the singing competition. During the evening of the competition, each singer, performing alone, will give exactly one performance. Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois exactly two students are assigned to each bench. Exactly one major is assigned to each bench. In each year, one of the members will Each day exactly one investor will view the site. The Each council member votes either for or against each bill. The following is known: The accountant will pay each bill only once according to the following rules: Each article is in exactly one of three colors: navy, red, or yellow. There are three hats -- one in each color; three jackets -- one in each color: three skirts -- one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. M, N, and O -- and three physical therapies -- U, V, and W. For each case of the illness, a doctor will prescribe exactly five [] each of hired, then each of the following applicants must be interviewed exactly once at each of three town meetings -- meetings 1, 2, and 3. At 16. If Shigeru plays golf, then each of the following are pairs of people who must play the same sport as each other EXCEPT: If all the other conditions remain in effect, then each of the following could be true EXCEPT: 14. If Valdez goes to a soccer game, then each of the following could be true EXCEPT: In each of two years exactly two of four lawmakers -- Feld, Gibson, Hsu, and Ivins -- and exactly two of three scientists -- Vega, Young, and Zapora -- will serve as members of a four-person panel. 12. If all the snakes are female and each of the lizards has a habitat to itself, then which one of the following habitats CANNOT contain any snakes? 24. If one of the two orange cars is replaced by a third green car, and if the arrangement of cars in line must conform to the same restrictions as before, then which one of the following is a complete and accurate list of the cars each of which must be green? Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. The loaves that the [] each (as full NP) Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. [] AUXV+ each V Exactly six of seven jugglers -- G, H, K. L, N, P, and Q -- are each assigned to exactly one of three positions -- front, middle, and rear -- on one of two teams -- team 1 and team 2. Five candidates for mayor -- Q, R, S, T, and U -- will each speak At a small press, six textbooks, three introductory -- F, G, and H -- and three advanced -- X, Y, and Z -- will each be Knight, Lopez, and Moss -- will each view a building site exactly once. (A) Fu and Gianola each vote for exactly one bill. (B) Gianola and Herstein each vote for exactly one bill. The six messages on an answering machine were each left by one of Fleure, Greta, Hildy, Liam, Pasquale, or Theodore, consistent with the following: [] per Exactly four medical training sessions -- M, O, R, and S -- will be scheduled for four consecutive days -- day 1 through day 4 -- one session each day. At least one task is done each day. 3. If bill 2 and bill 6 are paid on different days from each other, which one of the following must be true? 23. If Oscar and Pedro do not attend the same class as each other, then which one of the following could be true? Exactly five cars -- Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's -- are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The second and third cars washed receive the same kind of wash as each other. (A) Orlando's and Vinquetta's cars receive the same kind of wash as each other. (B) Marquitta's and Taishah's cars receive the same kind of wash as each other. 13. If the last two cars washed receive the same kind of wash as each other, then which one of the following could be true? 19. If K is assembled on line 5, which one of the following is a pair of models that could be assembled, not necessarily in the order given, on lines whose numbers are consecutive to each other? each child must be assigned to exactly one locker. complete and accurate list of lockers each of which CANNOT be a number of different lockers each of which could be the locker to 6. If lockers 1 and 2 are each assigned to one boy and are not shared each of jazz, opera, pop, rap, and soul. The store is having a sale on 11. If neither type of jazz is on sale, then each of the following Sales. Exactly five tours will be conducted that week, one each following list, which specifies exactly the tasks each person can do: both of whom work on the same days as each other and each of whom Of the eight students -- George, Helen, Irving, Kyle, Lenore, Nina, Olivia, and Robert -- in a seminar, exactly six will give individual oral reports during three consecutive days -- Monday, Tuesday, and Wednesday. Exactly two reports will be given each day -- one in the morning and one in the afternoon -- according to the following conditions: 3. Which one of the following is a pair of students who, if they give reports on the same day as each other, must give reports on Wednesday? At a concert, exactly eight compositions -- F, H, L, O, P, R, S, and T -- are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: On each of exactly seven consecutive days (day 1 through day 7), a pet shop features exactly one of three breeds of kitten -- Himalayan, Manx, Siamese -- and exactly one of three breeds of puppy -- Greyhound, Newfoundland, Rottweiler. The following conditions must apply: (A) There are exactly four breeds that are each featured on three days. J and L are each less popular than H. J is more popular than Q. S and V are each less popular than L. P and S are each less popular than Q. S is not seventh. 5. If Q is more popular than L, then each of the following must be true of the ranking EXCEPT: From among ten stones, a jeweler N will select six, one for each of six rings. Of the stones, three -- F, G, and H -- are rubies; three -- J, K, and M - are sapphires; and four -- W, X, Y, and Z -- are topazes. The selection of stones must meet the following, restrictions: There are exactly ten stores and no other buildings on Oak Street. On the north side of the street, from west to east, are stores 1, 3, 5, 7, and 9; on the south side of the street, also from west to east, are stores 2, 4, 6, 8, and 10. The stores on the north side are located directly across the street from those on the south side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colors: green, red, and yellow. The stores have been decorated with lights accordine to the following conditions: Yellow lights decorate exactly one store on each side of the street. 20. If green lights decorate store 7, then each of the following statements could be false EXCEPT: A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures: The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers. 10. Which one of the following, if known, would allow one to determine the entire lecture schedule and identify for each week the philosopher who is lectured on that week? 12. Suppose the third speaker were a specialist not only in Mill and Nietzsche, but also in Sartre. If all of the other conditions remained the same, then each of the following could be true EXCEPT: A showroom contains exactly six new cars -- T, V, W, X, Y, and Z -- each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: 6. For exactly how many of the six cars is it possible to determine exactly which options each one has? 10. Suppose that no two cars have exactly the same options as one another. In that case, each of the following could be true EXCEPT: 11. If exactly four of the six cars have leather interiors, and exactly four of the six cars have power windows, then each of the following must be true EXCEPT: Quentin, Robert, Shiro, Tony, and Umeko are the only members of the Kim family who attend an opera. Each of them sits in a separate seat in either row G or row H, and each sits in a seat numbered 1, 2, or 3. Consecutively numbered seats within each row are adjacent. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. (D) Exactly two professors were hired in each of two years. A radio talk show host airs five telephone calls sequentially. The calls, one from each of Felicia, Gwen, Henry, Isaac, and Mel, are each either live or taped (but not both). Two calls are from Vancouver, two are from Seattle, and one is from Kelowna. The following conditions must apply: 15. If Lapas and Kelly each occupy a window seat, then which one of the following could be true? 17. If Kelly occupies the aisle seat in row 3, then each of the following must be true EXCEPT: An airline has four flights from New York to Sarasota -- flights l, 2, 3, and 4. On each flight there is exactly one pilot and exactly one co-pilot. The pilots are Fazio, Germond, Kyle, and Lopez; the co-pilots are Reich, Simon, Taylor, and Umlas. Each pilot and co-pilot is assigned to exactly one flight. 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: 12. Which one of the following could be an accurate matching of the bookshelves to the books on each of them? (D) The novels are on the same shelf as each other. (B) No more than one novel is on each shelf. 5. If Q is the fifth clown to get out of the car, then each of the volunteers -- Frank, Gladys, and Leslie will each demonstrate exactly and the tasks each demonstrates, in order from the first to the applicants, each of whom CANNOT be hired for a production position? 16. It can be determined in which department each of the seven then each of the following could be true EXCEPT: Musicians perform each of exactly five pieces -- Nexus, Onyx, Synchrony, 22. If each piece (except the fifth) shares one instrument with the 3. If each of the three red files is immediately followed by a green file, which one of the following must be a yellow file? 11. 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: 12. Which one of the following could be an accurate matching of each Pohl child with the year in which that child was born? 17. If Theo is right-handed, then each of the following statements must be false EXCEPT: Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: A closet contains exactly six hangers -- 1, 2, 3, 4, 5, and 6 -- hanging, in that order, from left to right. It also contains exactly six dresses -- one gauze, one linen, one polyester, one rayon, one silk, and one wool -- a different dress on each of the hangers, in an order satisfying the following conditions: At a children's festival, exactly four songs are performed, each exactly once: "Night's All Right," "Question Man," "Rhino Rock," and "Sammy." The songs are performed consecutively, each on a different one of exactly four instruments: flute, guitar, harmonica, or keyboard. The songs are performed in accordance with the following: 12. If "Question Man" is the third song performed at the festival, then each of the following could be true EXCEPT: 19. If Harriet and Olivia each sits immediately next to George, then which one of the following could be the two people each of whom sits immediately next to Peter? 20. If George does not sit immediately next to Harriet, then which one of the following could be the two people each of whom sits immediately next to Manuel? 23. If Karl sits directly across from Ingrid, then each of the following people could sit immediately next to Olivia EXCEPT: 19. If Y is farther south than L and farther north than T then the benches in each of the following pairs must be next to each other EXCEPT Each bridge directly connects exactly two islands with each other, and no two bridges intersect. J, K, and L are each directly connected by bridge with one or both of M and O. 3. If H and S are to be scheduled as far from each other as possible, activity in the afternoon. During each week her work schedule must as each other, then both moderates voted that way. If the three liberals voted the same way as each other, then no 13. If the two moderates did not vote the same way as each other, then 15. If the three liberals all voted the same way as each other, which 18. If the two conservatives voted the same way as each other, but the liberals did not all vote the same way as each other, then each of the The official will also assign each runner to represent a different runners each of whom could be the runner representing F? 6. If the Chemistry textbook is to the right of the Geometry textbook, which one of the following pairs of textbooks must be next to each other? The movie shown on each screen in November has a different rating than the movie shown on that screen in December. 11. If the movie shown on screen 1 in November is rated PG, then each one of the following statements must be true EXCEPT: Exactly six executives meet in a conference room: Altman, Bari, Caran, Dubrowski, Elbert, Foong. There are exactly six chairs evenly spaced around a circular table. The chairs are numbered 1 through 6, with successively numbered chairs next to each other and chair number 1 next to chair number 6. Each chair is occupied by exactly one of the executives. The following conditions apply: 2. If Altman sits immediately next to Elbert, which one of the following is a pair of executives who must immediately sit next to each other? A manager ranks five employees -- Alejandro, Bruce, Connie, Drusilla, and Eustace -- from first (best) to fifth (worst) in each of three areas: attitude, efficiency, and punctuality. For each of the three areas, none of the five employees receives the same ranking as any other employee does. Drusilla's three rankings are all different from each other. [] each other Six paintings hang next to each other as shown below: slots. No two candidates will speak in the same time slot as each other 9. If Klaus and Laura speak the same language as each other, then which one of the following must be true? 10. If Laura and Norma speak the same language as each other, then the maximum number of the tourists who could speak Turkish is 12. If Harry, Irene, Michael, and Norma all speak the same language as each other, then which one of the following could be 16. If Shigeru plays golf, then each of the following are pairs of people who must play the same sport as each other EXCEPT: (A) Oliver and Maricella play the same sport as each other. (B) Paulo and Lina play the same sport as each other. (C) Paulo and Oliver play the same sport as each other. (D) Kim and Lina do not play the same sport as each other. (E) Kim and Paulo do not play the same sport as each other. 18. Suppose that the condition is added that Shigeru and Paulo do not play the same sport as each other. (A) Maricella and Kim play the same sport as each other. (B) Paulo and Kim play the same sport as each other. (C) Paulo and Maricella play the same sport as each other. (D) Kim and Paulo do not play the same sport as each other. (E) Maricella and Kim do not play the same sport as each other. V and S must be separated from each other by exactly one song. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same Tyner and Pike do not participate in the same activity as each other. Gibson and Vega do not serve on the panel in the same year as each other. Hsu and Young do not serve on the panel in the same year as each other. Ginnie and Reveka do not see the same film as each other. Ian and Marcos do not see the same film as each other. Viktor and Yow see the same film as each other. 20. The cars in which one of the following pairs CANNOT be the same color as each other? K and L must be assigned to positions that are separated from each other by exactly one position. K and N cannot be assigned to positions that are next to each other. (A) L and N are assigned to positions that are next to each other. (B) M and K are assigned to positions that are next to each other. (C) M and O are assigned to positions that are next to each other. (D) L and N are assigned to positions that are separated from each other by exactly one position. (E) M and P are assigned to positions that are separated from each other by exactly one position. 15. Which one of the following is a pair of buildings that, if inspected on the same day as each other, must be inspected on Monday?