## Friday, September 28, 2007

### Another Counting Problem

In how many different ways can 6 objects be arranged in a circular pattern?

## Thursday, September 27, 2007

### How Many Ways Can You Get to 100?

How many strictly positive integer solutions (x, y, z) are there, such that x + y + z = 100

## Wednesday, September 26, 2007

### Round Robin Puzzle

I could be wrong, but I don't think I've ever had a round robin tournament here before, so:

A set of soccer matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once.

If 66 matches are totally played, how many teams participated?

A set of soccer matches is to be organized in a "round-robin" fashion, i.e., every participating team plays a match against every other team once and only once.

If 66 matches are totally played, how many teams participated?

## Tuesday, September 25, 2007

### Baseball Puzzle

Andy dislikes the catcher.

Ed's sister is engaged to the second baseman.

The center fielder is taller than the right fielder.

Harry and the third baseman live in the same building.

Paul and Allen each won $20 from the pitcher at pinochle.

Ed and the outfielders play poker during their free time.

The pitcher's wife is the third baseman's sister.

The pitcher, catcher, and infielders except Allen, Harry, and Andy, are shorter than Sam.

Paul, Andy, and the shortstop lost $50 each at the racetrack.

Paul, Harry, Bill, and the catcher took a trouncing from the second baseman at pool.

Sam is involved in a divorce suit.

The catcher and the third baseman each have two children.

Ed, Paul, Jerry, the right fielder, and the center fielder are bachelors.

The others are married.

The shortstop, the third baseman, and Bill each cleaned up

$100 betting on the fight.

One of the outfielders is either Mike or Andy.

Jerry is taller than Bill.

Mike is shorter than Bill.

Each of them is heavier than the third baseman.

Using these facts, determine the names of the men playing the various positions on the baseball team. (For you DH fans out there, consider this a National League team, that is, no DH.)

Ed's sister is engaged to the second baseman.

The center fielder is taller than the right fielder.

Harry and the third baseman live in the same building.

Paul and Allen each won $20 from the pitcher at pinochle.

Ed and the outfielders play poker during their free time.

The pitcher's wife is the third baseman's sister.

The pitcher, catcher, and infielders except Allen, Harry, and Andy, are shorter than Sam.

Paul, Andy, and the shortstop lost $50 each at the racetrack.

Paul, Harry, Bill, and the catcher took a trouncing from the second baseman at pool.

Sam is involved in a divorce suit.

The catcher and the third baseman each have two children.

Ed, Paul, Jerry, the right fielder, and the center fielder are bachelors.

The others are married.

The shortstop, the third baseman, and Bill each cleaned up

$100 betting on the fight.

One of the outfielders is either Mike or Andy.

Jerry is taller than Bill.

Mike is shorter than Bill.

Each of them is heavier than the third baseman.

Using these facts, determine the names of the men playing the various positions on the baseball team. (For you DH fans out there, consider this a National League team, that is, no DH.)

## Monday, September 24, 2007

## Friday, September 21, 2007

### Logging In

From the information given below, can you identify when each logged in and off?

Names: Jimmy, Paul, and Andrew

logging in times: 8:30, 9:00, 9:05

logging off times: 9:30, 10:00, 10:10

1. The one who signed in at 8:30, signed out 40 minutes after Andrew did.

2. The one who signed in at 9:05 signed out at 10:00

3. Paul did not sign in at 8:30

Names: Jimmy, Paul, and Andrew

logging in times: 8:30, 9:00, 9:05

logging off times: 9:30, 10:00, 10:10

1. The one who signed in at 8:30, signed out 40 minutes after Andrew did.

2. The one who signed in at 9:05 signed out at 10:00

3. Paul did not sign in at 8:30

## Thursday, September 20, 2007

### Logic Puzzles Can Be Impossible

Can you determine who solved what difficulty of puzzle, how long it took them and what the puzzle was about?

1. The Easy logic problem puzzle took exactly 30 minutes to solve.

2. Jill solved her logic problem puzzle exactly 20 minutes quicker than the Animal puzzle was solved.

3. Jean solved her logic problem exactly 10 minutes quicker than the puzzle about Caravans, but she didn't solve it in 10 minutes.

4. The Monster puzzle took exactly 3 times as long to solve as the Medium logic problem puzzle.

5. Jane solved a logic problem about Planets (not the Impossible or Hard puzzle), which took exactly twice as long to solve as the Medium puzzle.

6. The Animal logic problem was not solved by Joan and was not the Easy or Impossible puzzle.

Names: Jane, Jean, Jill Joan, and June

Time: 10, 20, 30, 40 and 60 minutes (1 hour)

Puzzle: Animals, Caravans, Monsters, Planets and Vegetables

Difficulty: Very Easy, Easy, Medium, Hard and Impossible

1. The Easy logic problem puzzle took exactly 30 minutes to solve.

2. Jill solved her logic problem puzzle exactly 20 minutes quicker than the Animal puzzle was solved.

3. Jean solved her logic problem exactly 10 minutes quicker than the puzzle about Caravans, but she didn't solve it in 10 minutes.

4. The Monster puzzle took exactly 3 times as long to solve as the Medium logic problem puzzle.

5. Jane solved a logic problem about Planets (not the Impossible or Hard puzzle), which took exactly twice as long to solve as the Medium puzzle.

6. The Animal logic problem was not solved by Joan and was not the Easy or Impossible puzzle.

Names: Jane, Jean, Jill Joan, and June

Time: 10, 20, 30, 40 and 60 minutes (1 hour)

Puzzle: Animals, Caravans, Monsters, Planets and Vegetables

Difficulty: Very Easy, Easy, Medium, Hard and Impossible

## Wednesday, September 19, 2007

## Tuesday, September 18, 2007

## Monday, September 17, 2007

### Three Dirty Letters

What three letters can be arranged to describe a dirty substance, a dirty animal and an activity that can lead to dirty hands?

## Friday, September 14, 2007

### Slowest Train in the World

A train moves at less than one mph and yet passes dozens of people in less than two minutes. The person in charge who stops the train is not on it. When it stops, it picks up no passengers, which is odd since no one is on it in the first place. When the train returns in the direction it came from, it goes much faster.

Explain.

Explain.

## Thursday, September 13, 2007

### Four Parts

Depending on how you arrange my four parts, I can be something happening right now, something very bad or something quite disgusting.

What am I?

What am I?

## Wednesday, September 12, 2007

### Fractions Are Your Friends

How would you combine one-third of 12 and four-fifths of 7 to get 11?

## Tuesday, September 11, 2007

### This 'L'and is Your 'L'and

Most countries have an ocean port of some sort, but not all. Name three countries that begin with the letter 'L' that are completely landlocked.

## Friday, September 07, 2007

### 'S' is for Single

What word becomes plural when you add an 'S', but becomes singular when another 'S' is tacked on?

BTW, for those of you who are wondering why I have been remiss in answering the questions the next day, I am being blocked out at my workplace (very unfortunate). But, hopefully I answer each question eventually (from home). I will try to find some more consistent manner of answering, but I have not been able to as yet. (Anyone want to partner with me on this? The pay is lousy, but it can be a lot of fun.)

BTW, for those of you who are wondering why I have been remiss in answering the questions the next day, I am being blocked out at my workplace (very unfortunate). But, hopefully I answer each question eventually (from home). I will try to find some more consistent manner of answering, but I have not been able to as yet. (Anyone want to partner with me on this? The pay is lousy, but it can be a lot of fun.)

## Thursday, September 06, 2007

### You Lost Your Watch?

So here you are, in a strange place and you've lost your watch. You stop a stranger to ask what time it is and he turns out to be even stranger than the place. His answer goes like this:

"The big hand and the little hand are midway between 1 and 2, lying on top of each other."

So, now you need to figure out what time it is.

"The big hand and the little hand are midway between 1 and 2, lying on top of each other."

So, now you need to figure out what time it is.

## Wednesday, September 05, 2007

### A Little Bit Romantic?

They don't touch when you you say "Touch," but they do touch when you say "Separate."

What are they?

What are they?

## Tuesday, September 04, 2007

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