Last week, Sara, Tony, Ulrich, Victor, and Wynne each saw La Traviata once at the opera house. The group divided up five tickets—one for the Thursday performance, one for the Friday performance, two for the Saturday performance, and one for the Sunday matinee—according to the following conditions:

• Neither Sara nor Victor attend Saturday performances
• If Wynne sees the opera before Victor, Wynne sees the first performance.
• Ulrich does not see a performance until Tony has also seen a performance.

Which of the following is a complete and accurate listing of the people who can attend the Thursday show?

A quarterback has time left in the game to call exactly seven plays—L, M, N, O, P, S, and T—one at a time and in any order according to the following conditions:

• Play P is called either first or last.
• The quarterback calls L at some point before calling N.
• The quarterback calls M at some point before calling T.
• The quarterback calls exactly one play between calling play L and play O.
• The quarterback calls exactly one play between calling play M and play P.

If N is called fourth, all of the following must be false EXCEPT __________.

Annie is packing her things to move. She has six objects left to pack: a globe, a microscope, a telescope, a fossil, a Bunsen burner, and an hourglass. She has three boxes left and wants to put exactly two objects in each box. Her packing choices are restricted to the following limits:

The microscope and the telescope cannot be in the same box.
The hourglass must be placed in the box directly after the globe.
If the fossil is in the second box, the Bunsen burner must be in the first box.
The first box cannot contain the fossil.

If the fossil is in the second box, which of the following could be true?

Seven retired professional football players---identified as A, B, C, D, E, F, and G to preserve their anonymity from the press---received votes to the Hall of Fame. Because only four can actually be inducted in this particular year, they must be ranked in terms of votes from lowest to highest. The ranking accords with the following specifications:

B and C received less votes than A.

B received more votes than E.

F and G received less votes than C.

D and F received less votes than E.

F did not receive the least amount of votes.

If B gets more votes than C, and F gets more votes than D, then which one of the following must be true?

A school has seven sports teams---baseball, football, golf, hockey, karate, swimming, and track. The new school gymnasium has three floors. Each floor can allow for a maximum of four sports teams to do indoor practicing or working out. No sports team can practice or work out on more than one floor. Assignment of the sports teams to the appropriate floor of the gym is subject to the following conditions:

Karate and track must conduct their practices or workouts on the same floor.

Football must conduct practices or workouts on the floor immediately above golf.

Hockey must conduct practices or workouts on its own floor without any other sports team.

If golf and track practice or workout on the second floor, which one of the following could be true?

Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:

• No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
• If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
• Carnations may not be planted in the same window box as Daffodils.
• If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.

Which of the following, if substituted for the condition that

• If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.

would have the same effect on the arrangement of flowers?

Exactly seven cities—Albany, Boston, Chicago, Denver, El, Paso, Fairbanks, and Glendale—are visited on a politician’s campaign trail. Each city is visited only once during the campaign. No cities are visited at the same time as each other. The following conditions apply to the campaign:

Chicago is either the third or the fifth city visited.

Boston is visited immediately before El Paso.

There is exactly one city visited between Chicago and Glendale.

Fairbanks is either the first or the last city visited.

If Boston is visited second, which of the following must be true?

A children's toy store is creating a display of plush baby toys for the front window. There are five different toy animals: a flamingo, a koala, a seal, a cat, and a dog. Each toy is either blue or pink. The toys are to be arranged in a line, according to the following restrictions:

• There are at least two blue toys, and no blue toys can be adjacent to each other
• The flamingo must be pink
• If the seal is first, the koala is fourth
• If the flamingo is first, the dog is fourth
• The dog must come earlier in the line than the cat
• Either the cat or the dog is blue, but not both

If there are exactly three blue toys, which of the following could be true?

A professor is selecting students to work in pairs on four separate parts of a final presentation. There are eight students in the class - Lisa, Marc, Nina and Oliver are seniors; William, Xavier, Yolanda and Zoe are juniors. The pairs will present their sections in a specific order, first through fourth. The assignments of partners and sections must conform to the following restrictions:

Each pair must consist of one senior and one junior

Lisa must be paired with William

Nina cannot be paired with Yolanda

William must present in an earlier group than Zoe

Marc can only present first if Oliver presents third

If Zoe presents in the second group, which of the following CANNOT be true?

A creative writing professor is creating a set list for a poetry reading. She must chose five poems from those written by eight students - Alan, Belle, Charlie, Dorian, Ernest, Xue, Yardley, and Zack. The poems chosen and the order in which they are presented must conform to the following restrictions:

If Alan is chosen, Belle is also chosen

If Charlie is chosen, Dorian is not chosen

Ernest is chosen if and only if Xue is chosen

If Belle and Yardley are both chosen, Belle must read before Yardley

If Zack is chosen he must read first

If Charlie and Alan are both chosen, Charlie must read before Alan

Which of the following is a complete and accurate possible set list?