A library is holding a special five-day event honoring successful local writers. One writer will be invited to be a guest speaker for each night from Monday through Friday, and no writer will be asked to participate twice. The writers have each written books in only one of four different genres—science fiction, mystery, historical fiction, and non-fiction. A, J, and X are all science fiction writers. B and Y are both mystery writers. C and Z are both historical fiction writers. L is a non-fiction writer. The following conditions apply without exception:

At least one writer from each genre will be invited to speak on at least one night.

No two authors from the same genre will be invited to speak on the following night.

If C is invited to speak, then X is invited to speak on the following night.

If Y is invited to speak, then neither C nor A are invited to speak.

If X and J are both invited to speak, then neither will speak on either the first or last night.

If L and B are both invited to speak, then neither will speak on either the first or last night.

If L is invited to speak on Friday, then on what days MUST a science fiction writer be invited?

A library is holding a special five-day event honoring successful local writers. One writer will be invited to be a guest speaker for each night from Monday through Friday, and no writer will be asked to participate twice. The writers have each written books in only one of four different genres—science fiction, mystery, historical fiction, and non-fiction. A, J, and X are all science fiction writers. B and Y are both mystery writers. C and Z are both historical fiction writers. L is a non-fiction writer. The following conditions apply without exception:

At least one writer from each genre will be invited to speak on at least one night.

No two authors from the same genre will be invited to speak on the following night.

If C is invited to speak, then X is invited to speak on the following night.

If Y is invited to speak, then neither C nor A are invited to speak.

If X and J are both invited to speak, then neither will speak on either the first or last night.

If L and B are both invited to speak, then neither will speak on either the first or last night.

If L is invited to speak on Friday, then on what days MUST a science fiction writer be invited?

A library is holding a special five-day event honoring successful local writers. One writer will be invited to be a guest speaker for each night from Monday through Friday, and no writer will be asked to participate twice. The writers have each written books in only one of four different genres—science fiction, mystery, historical fiction, and non-fiction. A, J, and X are all science fiction writers. B and Y are both mystery writers. C and Z are both historical fiction writers. L is a non-fiction writer. The following conditions apply without exception:

At least one writer from each genre will be invited to speak on at least one night.

No two authors from the same genre will be invited to speak on the following night.

If C is invited to speak, then X is invited to speak on the following night.

If Y is invited to speak, then neither C nor A are invited to speak.

If X and J are both invited to speak, then neither will speak on either the first or last night.

If L and B are both invited to speak, then neither will speak on either the first or last night.

Which of the following is an acceptable list of guest speakers for the library's special event from Monday to Friday?

A library is holding a special five-day event honoring successful local writers. One writer will be invited to be a guest speaker for each night from Monday through Friday, and no writer will be asked to participate twice. The writers have each written books in only one of four different genres—science fiction, mystery, historical fiction, and non-fiction. A, J, and X are all science fiction writers. B and Y are both mystery writers. C and Z are both historical fiction writers. L is a non-fiction writer. The following conditions apply without exception:

At least one writer from each genre will be invited to speak on at least one night.

No two authors from the same genre will be invited to speak on the following night.

If C is invited to speak, then X is invited to speak on the following night.

If Y is invited to speak, then neither C nor A are invited to speak.

If X and J are both invited to speak, then neither will speak on either the first or last night.

If L and B are both invited to speak, then neither will speak on either the first or last night.

Which of the following is an acceptable list of guest speakers for the library's special event from Monday to Friday?

A library is holding a special five-day event honoring successful local writers. One writer will be invited to be a guest speaker for each night from Monday through Friday, and no writer will be asked to participate twice. The writers have each written books in only one of four different genres—science fiction, mystery, historical fiction, and non-fiction. A, J, and X are all science fiction writers. B and Y are both mystery writers. C and Z are both historical fiction writers. L is a non-fiction writer. The following conditions apply without exception:

At least one writer from each of genre will be invited to speak on at least one night.

No two authors from the same genre will be invited to speak on the following night.

If C is invited to speak, then X is invited to speak on the following night.

If Y is invited to speak, then neither C nor A are invited to speak.

If X and J are both invited to speak, then neither will speak on either the first or last night.

If L and B are both invited to speak, then neither will speak on either the first or last night.

Which two writers cannot BOTH be invited to speak?

A library is holding a special five-day event honoring successful local writers. One writer will be invited to be a guest speaker for each night from Monday through Friday, and no writer will be asked to participate twice. The writers have each written books in only one of four different genres—science fiction, mystery, historical fiction, and non-fiction. A, J, and X are all science fiction writers. B and Y are both mystery writers. C and Z are both historical fiction writers. L is a non-fiction writer. The following conditions apply without exception:

At least one writer from each of genre will be invited to speak on at least one night.

No two authors from the same genre will be invited to speak on the following night.

If C is invited to speak, then X is invited to speak on the following night.

If Y is invited to speak, then neither C nor A are invited to speak.

If X and J are both invited to speak, then neither will speak on either the first or last night.

If L and B are both invited to speak, then neither will speak on either the first or last night.

Which two writers cannot BOTH be invited to speak?

Jennifer is a high school student with five classes—Art, English, History, Math, and Spanish—and those classes meet at some point during the day according to the following time slots: 8:00 a.m., 9:00 a.m., 10:00 a.m., 11:00 a.m., 1:00 p.m., and 2:00 p.m. Jennifer also has a “free block” which she can use to do homework.

The following conditions must apply:

Jennifer has English before her free block.

Jennifer has History after her free block.

Jennifer has Spanish either immediately before or immediately after her free block.

Jennifer has Math before Art.

Which one of the following could be the order of the classes, from earliest to latest?

A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:

Ralph's lesson must be given at 1 pm or 3 pm.

Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.

Thomas's lesson is given immediately after Sam's lesson.

If Xavier's lesson is at 4 pm, which one of the following must be true?

Seven runners, Allen, Beth, Calli, Drew, Erin, Fred, and Gary, are being timed running a mile. Only one runner can run at a time. The following conditions apply:

Calli cannot run first or last

At least one person must run between Fred and Gary

Erin can only run directly before or after Drew if Allen runs first

Beth must run before Gary

If the conditions are modified so that exactly one runner runs between Gary and Fred and so that Drew must run immediately before Calli, which of the following cannot be true?

Five contestants in a speech-giving contest—Mort, Othello, Paul, Quinn, and Sue—will give their speeches in front of a judging panel during five consecutive time slots, one contestant per time slot. Each contestant will give his/her speech exactly once. The order of the contestants must adhere to the following conditions:

If Sue gives her speech first, Mort gives his speech last.

If Mort gives his speech second, Quinn gives her speech first.

Mort does not give his speech first.

Paul gives his speech immediately after Othello gives his speech.

Othello can give his speech in any of the five time slots EXCEPT