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.

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 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?

In a new strip mall, six vacant store spaces will be used to open new stores by six companies: Fisk, Gourd, Hack, Jipp, Lux, and Mort. Each of the six companies will open exactly one new store in one of the spaces, numbered 1-6. No two companies can share an individual store space. The stores will choose their store space based on the following rules:

Hack must open a store space numbered higher than the one opened by Jipp.

Lux’s space number is lower than the space number of Gourd.

Hack cannot use the fifth or the sixth store space.

Jipp must open a store space numbered higher than the one opened by Fisk.

Which of the following could be a list of companies, ordered 1-6 by the store spaces they use for their stores?

Six fast-food restaurants at a food court are assigned to numbered lots---1 through 6---that are arranged in that order (i.e., lot 1 is on the far left and lot 6 is on the far right). The restaurants are A, B, C, D, E, and F. The following arrangement characterizes how these restaurants are situated in the food court:

A and B have one restaurant between them, which is to say, they are assigned to lots that are separated from each other by exactly one other lot.

A and D are not situated next to each other.

D is located in a higher-number lot than C.

F is in lot 3.

Which one of the following is a complete and accurate list of the positions any one of which can be the positon for restaurant A?

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 science-fiction, mystery, historical fiction, and non-fiction will all 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 C and A are both invited to speak, which two writers CANNOT speak on consecutive nights?

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?

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?

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

The Silvermine Railway's F train takes a loop through the region in which it operates. It stops at five passenger stops-- Aberdeen, Basilica, Habermark, Ramrock, and Terroire, although not necessarily in that order. The F train begins and ends each loop at the railyard, which is not considered a passenger stop. The order of the stops on the route must conform to the following conditions without exception:

The F train stops at each of the five passenger stops exactly once per loop and does exactly two complete loops per day. The railyard is where the train begins and ends each loop. After leaving the railyard at the beginning of the day, the train will stop at each of the five passenger stops before completing its loop by returning to the railyard. The train will then proceed to stop at each of the five passenger stops once again (in the same order it did the first time around) before once again stopping at the railyard and thus completing its second and final loop of the day.

The F train will never stop at Habermark and Basilica consecutively.

The F train will stop at at least two other passenger stops two times before stopping at Aberdeen for the second time.

If Terroire is the third stop, then Habermark is the second stop.

If Aberdeen is the fourth stop, then Habermark is not the fifth stop.

Aberdeen is earlier on the route than at least one of Habermark and Ramrock.

Which of the following lists of five stops is a possible order of stops that the F train made at passenger stops in a single day?