Archive for the 'Conundrum' Category

Left-brain fun!

Conundrum: Russian Roulette

Tuesday, January 25th, 2011

In Russian Roulette, a six-chambered revolver is loaded with one round, the cylinder is spun to place the round in a random position, and participants take turns pointing the gun to their heads and pulling the trigger until one player loses.

Imagine you are playing this game (for whatever reason) with one other person, but do not wish to die.

1. Assume there is one round and the cylinder is spun only once, at the beginning of the game. Is it better to go first or second?

2. Assume there is one round and the cylinder is spun after each player’s turn. Is it better to go first or second?

3. Assume there are two rounds in random position and the cylinder is spun only once, at the beginning of the game. Is it better to go first or second?

4. Assume there are two rounds in random position. The first player shoots an empty chamber. You have the option of shooting the gun as is, or spinning the cylinder first. Which do you choose?

5. Assume there are two rounds in a random position – but you are told that the two rounds are in consecutive chambers. The first player shoots an empty chamber. You have the option of shooting the gun as is, or spinning the cylinder first. Which do you choose?

6. Assume there are two rounds in a random position – but you are told that the two rounds are in consecutive chambers. The cylinder is spun only once, at the beginning of the game. Is it better to go first or second?

These are pure probability questions, for entertainment purposes only. Shakespeare Teacher in no way condones the use of firearms in this manner.

Conundrum: Alphagram

Tuesday, January 11th, 2011

What number, when written as a word in English, has all of its letters in alphabetical order?

For example, “six” doesn’t work, because the letter S comes before the letter I in the word, but S comes after I in the alphabet.

The word “begin” has all five of its letters in alphabetical order, but, of course, it is not a number.

Can you find the only number that meets this requirement?

UPDATE: Number identified by Jeff. See comments for answer.

Conundrum: Pic Tac Toe VI

Tuesday, February 2nd, 2010

Even though this puzzle is still active, I thought it might be fun to return to a simpler time.

In a “Pic Tac Toe” puzzle, there are nine pictures in a three-by-three grid, like Tic-Tac-Toe. In each row, column, and diagonal, there is a common theme that unites the three pictures. The challenge is to find the eight themes.

You can click on each image to see a larger version:



Please post whatever you come up with in the comments section.

Enjoy!

UPDATE: See comments for correct themes provided by Asher (5) and Neel Mehta (3). Alternate theme provided by Asher.

Conundrum: The Big Picture II

Tuesday, January 26th, 2010

In a normal “Pic Tac Toe” puzzle, there are nine pictures in a 3×3 grid, like Tic-Tac-Toe. In each of the three rows, three columns, and two diagonals, there is a common theme that unites the three pictures. The challenge is to find the eight themes.

In a “3D Pic Tac Toe” puzzle, there are 27 pictures in a 3×3×3 grid, like a Rubik’s Cube. In each of the nine rows, nine columns, nine pillars, eighteen lateral diagonals, and four cross-cube diagonals, there is a common theme that unites the three pictures. The challenge is to find the 49 themes.

A “Big Picture” puzzle is just like a “3D Pic Tac Toe” puzzle, except that each of the 49 themes will be a movie. Each of the three images in that theme will picture at least one actor who was in that movie.

Imagine stacking the three levels below on top of one another. For reference, and notation guidelines, check out my last Big Picture puzzle, including the comments. The rules here are identical to that puzzle.

Looking at that puzzle will also help identify the actors in Image B5; tragically underused in that puzzle, it now plays a more central role. Although many of the same actors appear in both puzzles, none of the 49 movies in the solution to this puzzle is the same as any of the 49 movies in the previous puzzle’s solution.

In Image B3, you will use the actors who voiced the animated characters shown, but none of the movies in the solution is animated, a documentary, or Robert Altman’s The Player.

You can click on each image to see a larger version:

Top Level – Level A



Middle Level – Level B



Bottom Level – Level C



Please post whatever you come up with in the comments section.

Enjoy!

UPDATE: See comments for correct themes provided by Lee (12) and Neel Mehta (20). The following 17 themes remain unsolved:

Rows

B1-B2-B3

Columns

A1-A4-A7
B1-B4-B7
B3-B6-B9

Pillars

A3-B3-C3
A4-B4-C4
A7-B7-C7

Lateral Diagonals

B3-B5-B7
A1-B2-C3
A3-B2-C1
A6-B5-C4
A7-B8-C9
A9-B8-C7
A1-B4-C7
A2-B5-C8
A8-B5-C2
A3-B6-C9

Conundrum: The Big Picture

Tuesday, July 28th, 2009

This is a new 3D Pic Tac Toe puzzle. If you are unfamiliar with the format, you can check out my last 3D Pic Tac Toe for guidelines.

In this particular 3D Pic Tac Toe, each of the forty-nine themes will be a movie. Each of the three images in that theme will picture at least one actor who was in that movie.

In Image B1, you will use the actors who voiced the animated characters shown, but none of the forty-nine movies in the solution is animated, a documentary, or Robert Altman’s The Player. A few of the movies have not yet been released.

You can click on each image to see a larger version:

Top Level – Level A



Middle Level – Level B



Bottom Level – Level C



Please post whatever you come up with in the comments section.

Enjoy!

UPDATE: Correct themes provided by Neel Mehta (36), Evan (10), Ken (1), and Rodney G (2). Alternate theme suggested by Evan. See comments for discussion, or click here to skip right to the answers.

Conundrum: Pic Tac Toe in 3D, Part V

Tuesday, June 9th, 2009

Has it really been almost a year since we’ve had a 3D Pic Tac Toe?

In a normal “Pic Tac Toe” puzzle, there are nine pictures in a 3×3 grid, like Tic-Tac-Toe. In each of the three rows, three columns, and two diagonals, there is a common theme that unites the three pictures. The challenge is to find the eight themes.

In this “Pic Tac Toe” puzzle, however, there are twenty-seven pictures in a 3×3x3 grid, like a Rubik’s Cube. In each of the nine rows, nine columns, nine pillars, eighteen lateral diagonals, and four cross-cube diagonals, there is a common theme that unites the three pictures. The challenge is to find the forty-nine themes.

Imagine stacking the three levels below on top of one another. For reference, and notation guidelines, check out my last 3D Pic Tac Toe, including the comments. The rules here are identical to that puzzle.

You can click on each image to see a larger version:

Top Level – Level A



Middle Level – Level B



Bottom Level – Level C



Please post whatever you come up with in the comments section.

Enjoy!

UPDATE: Correct themes provided by Neel Mehta (37), ArtVark (4), and Billie (8). Alternate themes suggested by Billie (2), Neel Mehta (3), and Annalisa (1). See comments for all answers.

Conundrum: Shakespeare Invites

Tuesday, May 26th, 2009

Thanks for the good feedback about last week’s invite rhymes for the Best of the Bard and Henry VIII invites. The Shakespeare invites don’t usually involve poetry, but I do like to include a tagline to catch the interest of group members. Since I haven’t actually organized a reading in some time, I could at least share with you some of the taglines I’ve used. And since there are a few Shakespeare lovers who read this blog, I thought we could make a game out of it.

Can you identify the fifteen plays represented by the taglines below?

1. Bundle up, head on over, and join us as we catch winter by its tale. Hot cocoa will be served.

2. You like it! You really like it!

3. Everybody dies.

4. Come join us at our favorite Bavarian beerhouse as we travel to an austere statehouse, a rowdy whorehouse, and a dank jailhouse.

And then we’re gonna read a play.

5. Revenge is a beach.

6. Witches! Ghosts! Swordplay! Intrigue! Betrayal! Treachery! And the cold-blooded murder of a benefactor! Come join in the fun, as we read the play that dares not speak its name.

7. An afternoon to read. A lifetime to master.

8. We all know what happens when the children of rival families fall in love. But what happens when the rulers of rival countries fall in love?

9. What better way to spend an afternoon than with Rumor, Blunt, Shallow, Silence, Fang, Snare, Mouldy, Shadow, Wart, Feeble, Pistol, Quickly, and Doll?

10. Four hundred years before Seinfeld, there was a show about nothing.

11. We’re gonna party like it’s 1199.

12. Cast of Characters: a nobleman in disguise, an adulterer, a tyrant, an outcast, a wimp, a lackey, a fugitive, a bastard, a fool, two wicked sisters, and an elderly king, slowly losing his grasp on his humanity. Yes, we’re all in there somewhere.

13. And now for something completely different.

14. Bon Appetit!

15. Come join our monthly meeting of conspirators as we sink our daggers into Shakespeare’s classic tale of political intrigue and betrayal in Ancient Rome.

BONUS QUESTION: If readings are typically held on the first Sunday of each month, what play would have been the appropriate choice for January 2008?

Please post whatever you come up with in the comments section.

UPDATE: Correct plays provided by Asher (10) and Jeremy (6).

Conundrum: Tetralogies

Tuesday, May 19th, 2009

Shakespeare wrote two tetralogies of history plays. The First Tetralogy consists of the three Henry VI plays and Richard III. The Second Tetralogy is set before these (like the second Star Wars trilogy is set before the first one) and consists of Richard II, Henry IV Part One, Henry IV Part Two, and Henry V. Today’s Conundrum questions are about these tetralogies.

1. Name a character who appears in three plays in one of the tetralogies, and another Shakespeare play outside of the tetralogies.

2. Name a character who appears in all four plays in a single tetralogy.

3. Name a character who appears in both tetralogies.

4. Name a character who appears in Richard II and Henry V, but neither Henry IV play.

UPDATE: All four questions answered correctly by Micah. See comments for answers.

Your Move: Conundrum

Tuesday, February 24th, 2009

The Shakespeare Teacher is out. It’s your move.

Today’s challenge is based on the most recent Conundrum, which was a logic problem called Poker Game 2.

The answer is the Queen of Spades and the Six of Spades.

Your challenge is to select the five cards on the board to make that answer correct. Everything else about the problem will stay the same.

First person to post a correct entry (by March 10) is the winner.

UPDATE: I’ll leave this challenge active a little longer if anyone wants to try it.

Conundrum: Poker Game 2

Tuesday, January 6th, 2009

Our four old poker friends have migrated from five-card stud to no-limit Texas hold ‘em, which they always play with a single deck of cards.

During one hand, the flop was an Eight, Ten, and King – all clubs. Ron went all-in, and the other three players called with money remaining.

The turn card was the Nine of Hearts. Nick went all-in, and the other two called with money remaining.

The river card was the Ten of Hearts. Frank went all-in, and Lennie called with money remaining.

As it turned out, nobody went broke on this hand.

What is the best possible hand that Lennie could have had?

UPDATE: Puzzle solved by Kimi. See comments for answer.