A school is holding tryouts for seven athletes – Eric, Fred, Greg, Ian, John, Kevin, and Merlin – for the varsity and JV track teams. Which team the athletes can join is determined by their 40 yard dash time; the three fastest will join the varsity team and the four slowest the JV team, subject to the following conditions:

Fred has a faster time than Ian.
Eric has a faster time than Ian, but a slower time than Greg
Greg has a faster time than Fred, but a slower time than John.
Kevin is part of the JV team.

Which of the following could be an accurate list of the team rosters, arranged from fastest to slowest?

A barista has seven boxes of tea and coffee of varying types, which she places in a line behind the counter. There are four types of coffee: Colombian, Dark, Espresso, and French. There are three types of tea: Green, Herbal, and Vanilla. The following rules apply:

A box of tea must be fifth

No tea may be placed next to another tea

Herbal may not be next to either Colombian or Espresso

At least two boxes must be between Colombian and Dark

Which of the following cannot be true?

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

If Jim is assigned to the fourth slot, which of the following must be true?

Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:

• Flo performs exactly one act before Genie performs any of her acts
• Flo does not perform first and he does not perform last
• Genie does not do acrobatics and ball juggling
• Kyle does not do acrobatics and elephant demonstrations
• Ball juggling is performed immediately after the elephant demonstrations

Which one of the following could be true?

A barista has seven boxes of tea and coffee of varying types, which she places in a line behind the counter. There are four types of coffee: Colombian, Dark, Espresso, and French. There are three types of tea: Green, Herbal, and Vanilla. The following rules apply:

A box of tea must be fifth

No tea may be placed next to another tea

Herbal may not be next to either Colombian or Espresso

At least two boxes must be between Colombian and Dark

Which of the following cannot be true?

Three circus performers—Flo, Genie, and Kyle—will perform the following six circus acts: acrobatics; ball juggling; clowning; dunking; elephant demonstrations; fire twirling. Each act is performed only once in any given show, and only one act is performed at a time. The following conditions dictate the sequencing of these acts:

• Flo performs exactly one act before Genie performs any of her acts
• Flo does not perform first and he does not perform last
• Genie does not do acrobatics and ball juggling
• Kyle does not do acrobatics and elephant demonstrations
• Ball juggling is performed immediately after the elephant demonstrations

If Kyle performs last, then which of the following must be true?

A school is holding tryouts for seven athletes – Eric, Fred, Greg, Ian, John, Kevin, and Merlin – for the varsity and JV track teams. Which team the athletes can join is determined by their 40 yard dash time; the three fastest will join the varsity team and the four slowest the JV team, subject to the following conditions:

Fred has a faster time than Ian.
Eric has a faster time than Ian, but a slower time than Greg
Greg has a faster time than Fred, but a slower time than John.
Kevin is part of the JV team.

Which of the following could be an accurate list of the team rosters, arranged from fastest to slowest?

A chef is arranging spices on a shelf. Four of the spices are in large jars: garlic, oregano, pepper, and salt. Three of the spices are in small jars: basil, cumin, and mint. The following conditions apply:

A large jar must be first or fourth

Pepper must come after cumin but before basil

The jar of salt must be the first large jar in the line

Basil cannot be immediately before or after garlic

When pepper is third, which of the following could be true?

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

If Jim is assigned to the fourth slot, which of the following must be true?

A chef is arranging spices on a shelf. Four of the spices are in large jars: garlic, oregano, pepper, and salt. Three of the spices are in small jars: basil, cumin, and mint. The following conditions apply:

A large jar must be first or fourth

Pepper must come after cumin but before basil

The jar of salt must be the first large jar in the line

Basil cannot be immediately before or after garlic

If the rules are changed so that basil must come directly after garlic, and if all other rules remain the same, which of the following cannot be true?