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## #1 Puzzles and Games » On the road to the Marrakesh Multiplex » 2006-05-12 03:26:11

Math Guy
Replies: 2

A pilgrim needs to make a journey on foot between Casablanca and Marrakesh, to deliver movies to the new Marrakesh multiplex. It's an arduous and dangerous trip at best, and it takes six days. The most a traveler can carry for food and water is four days' worth.

I hope there's a hotel someplace in between.

There are no hotels. Here's the question: How many people must start out together, so that one of them can make it all the way to Marrakesh from Casablanca?

One other thing: the others who start out along with the pilgrim? They can't die along the way.

## #2 Puzzles and Games » Hugh Louis Dewey and the Last Will and Testament » 2006-04-20 03:03:49

Math Guy
Replies: 3

Old Mr. Jones lay gasping on his deathbed, just as his wife-- his very young wife-- was about to give birth to their first child.

The family lawyer, Hugh Louis Dewey, was summoned so that Mr. Jones could recite his last will and testament-- because he's going to have a new member of the family.

Mr. Jones says to the lawyer, 'If my child is a boy, then I will leave 2/3 of my estate to my son, and 1/3 to my wife. If my child is a girl, then I leave 2/3 of my estate to my wife, and 1/3 to my daughter.'

I don't know why he chose to do this, but this is Mr. Jones, and it's his business.

So, Mr. Dewey creates the document on his laptop computer and prints it out, so Jones can sign it. Mr. Jones grips the pen weakly in his shaking hand. He applies his signature to the will, and then, lights out for Mr. Jones. He croaks.

Twins?

How'd you guess? Moments later, with the help of the attending midwife, Mrs. Jones gives birth to twins. One boy and one girl.

If you are Hugh Louis Dewey, how would you divide the estate?

*Leave what you think is the right answer here

## #3 Puzzles and Games » How Tommy Flies His 746 around the World » 2006-04-04 15:43:31

Math Guy
Replies: 1

At auction, my brother buys two slightly used Boeing 746's, with the idea of flying one of them around the world. Now, if you buy two of these planes, the auction house throws in a tiny island right on the equator.

Now, everyone knows that the circumference of the earth is 25,000 miles. But, sadly, neither of these planes, which have exactly the same range, can go 25,000 miles on a full tank of fuel.

Tommy does the math, however, and he figures out that if he flies one plane, and I fly the other plane as a refueling plane, I can give him some fuel and I can fly back to the little island

So, at some point, you're going to give me some fuel, you're going to turn back, and I'm going to continue on.

Exactly. We're both going to just make it. I'm going to give you some of my fuel, and with my remaining fuel, I just make it back to the island. And with your initial supply of fuel, plus what I give you from my plane, you continue on your journey, and sometime the next day, if we're lucky, you make it back to the same island.

Having gone all around the world.

Right. So the question is: What's the range of one of these 746's?

There are a few conditions that have to be met. For example, there's no wind, because that would add something complicated to the procedure. And, there's zero time to transfer the fuel and zero time to turn around. And one other thing: The earth isn't rotating for the 24 hours or so it takes to complete this whole thing

*Leave what you think is the right answer

## #4 Puzzles and Games » A Thousand DollarsAnd a Bunch of Envelopes » 2006-03-06 13:43:27

Math Guy
Replies: 3

Heres the puzzler. Its very simple.

Im going to hand you one thousand dollars, in one-dollar bills.

Your job is to put some of those dollar bills in the envelopes, in such a manner that no matter what number of dollars I ask you for youll hand me the appropriate combination of envelopes.

TOM: There must be more to it, because I could just use a thousand envelopes.

RAY: There is more. The question is--whats the fewest number of envelopes I can use, and how much money do you put in each one?

*Leave what you think is the right answer here, guessing never hurts!!

## #5 Re: Puzzles and Games » A Farmer, a Daughter  and an Unknown Number of Apples » 2006-03-06 13:41:59

15 is correct, congrats!

## #6 Puzzles and Games » A Farmer, a Daughter  and an Unknown Number of Apples » 2006-02-28 14:42:43

Math Guy
Replies: 10

Here it is:

A young man wants to ask a farmer for his daughter's hand in marriage. In fact, he wants more than the hand, he wants the whole girl. And the farmer says, "If you do this right, I'll give you her, a few cows, and I'll throw in a tractor!"

TOM: And my wife, too!

RAY: "But in order to have her hand in marriage, I want you to walk out to the apple orchard and pick some apples. On your way back to the farmhouse, you're going to pass three fence posts. At the first one, you're going to leave half the apples you have, and half an apple more. When you get to the second fencepost, you're going to do the same thing: leave half the apples that you have remaining, and half an apple more. You'll do the same thing at the third fencepost.

"You can't cut, bite, fold, spindle, mutilate, or do anything to any of the apples. But, you must, when you're all done, have one apple remaining for my daughter. If you can do that, you can marry her, or you can have the tractor, whichever you want."

The question is, how many apples does the young man need to pick from the orchard so that when he starts out he has x number of apples, and when he's all done leaving half the apples plus half an apple at each of the three fence posts, he has one left?

*Leave what you think is the right answer here, guessing never hurts!!!!!!

## #7 Re: Puzzles and Games » The Self-Adjusting Mystery Clock » 2006-01-31 12:53:32

It's a tide clock! Go figure..

## #8 Puzzles and Games » The Bistro Bottle Game » 2006-01-30 15:27:54

Math Guy
Replies: 16

Here it is:

Imagine, that you and I are sitting opposite one other at a small round tablethe kind you find at a bistro or a café, or some other place that sells overpriced beverages and desserts. Next to us is a supply, unlimited if need be, of soda pop bottles.

Here's the game we're going to play:

One of us is going to place a bottle on the table, upright. And then the other one's going to place a bottle on the table and that's going to end round one. The game consists of many rounds, perhaps.

The same person who went first is going to put another bottle on the table, then the person who went second is going to put his bottle on the table. So, if you go first, you'll place your bottle on the table, then I'll place my bottle. In round two you place your bottle and I place my bottle, etc. We're going to continue to do this until we black out!

Actually, we're going to continue to do this until somebody puts a bottle on the table that either doesn't fit, or falls off, or causes another bottle to fall off the table. The rule is that you can place your bottle anywhere on the table, but you can't move anyone else's bottle.

The question very simply is: Is there a strategy to win? And do you want to go first or second?

*Leave what you think is the right answer here!

That is correct!

## #10 Puzzles and Games » The Great Mind-Boggling Antifreeze Mixture » 2006-01-18 03:44:04

Math Guy
Replies: 2

RAY: "My car's cooling system holds 12 quarts."

"Right now it has four quarts of antifreeze, and eight quarts of water. How much of this mixture do I have to drain out and replenish with straight antifreeze in order to get a 5050 mixture?"

I thought I would add a "Part B" to this puzzler. How much of this mixture do I have to drain out if I'm adding antifreeze that's already been mixed 5050 to get a 5050 mix?

## #11 Puzzles and Games » In Search of a Magic Number » 2005-12-20 17:46:58

Math Guy
Replies: 4

RAY: This next puzzler is mathematical in nature. Imagine two numbers, such that their product is equal to their sum. I'll give you two numbers: 5 and 1 and 1/4. You add them, and you get 6 and 1/4. You multiply them, and you also get 6 and 1/4.

TOM: You do?

RAY: You do! Now, I'm going to put on one additional condition. Both numbers have to be the same. For example, let's take 3/7ths as the number. 3/7ths and 3/7ths add up to 6/7. But, unfortunately, they multiply to 9/49ths. But if it worked, then, well, that would be the kind of answer I'm looking for.

TOM: So you're looking for whole numbers as well as fractions?

RAY: Any number you can think of. Fractions, irrational numbers, you name it, we'll use it.

Is there such a number that if you multiply it by itself the product is equal to adding it to itself?

If so, what are those numbers?

Of course zeros are not allowed, because everybody knows zero plus zero is equal to zero times zero. Zero is disqualified.

*Leave what you think is the right answer here!

## #12 Re: Puzzles and Games » The Hall of 20,000 Ceiling Lights » 2005-12-13 11:50:09

That's correct, and really quick!

## #13 Puzzles and Games » The Self-Adjusting Mystery Clock » 2005-12-13 11:48:08

Math Guy
Replies: 9

Here it is:

It used to be that, when we changed into or out of Daylight Savings Time, you had to manually change all the clocks and appliances in your house.

Now many of them are wired into sources that change them for us.  So, for example, you change your wall clock and your microwave clock, but your computer, your cell phone your cable TV clocks automatically show the newly changed time without you having to do anything.

There is, however, a certain clock in my house that is not wired into anything. In fact, it runs on a battery, and it reads correctly all the time without my having to change it every spring and fall at the time changes.

The question is, how does it do this?

And the hint is, I didn't have one of these when I lived in Kansas.

*If yout think you know the answer then leave it here!

## #14 Re: Puzzles and Games » The Mystery of the Frozen Block of Soda » 2005-12-13 11:46:20

Sorry for the long wait in a reply, the answer was that one was a diet cola, and therefore it had a lower freezing point!

## #15 Puzzles and Games » The Hall of 20,000 Ceiling Lights » 2005-11-15 12:29:27

Math Guy
Replies: 3

RAY: This next puzzler is from my "ceiling light" series.

Imagine, if you will, that you have a long, long corridor that stretches out as far as the eye can see. In that corridor, attached to the ceiling are lights that are operated with a pull cord.

There are gazillions of them, as far as the eye can see. Let's say there are 20,000 lights in a row.

They're all off. Somebody comes along and pulls on each of the chains, turning on each one of the lights. Another person comes right behind, and pulls the chain on every second light.

TOM: Thereby turning off lights 2, 4, 6, 8 and so on.

RAY: Right. Now, a third person comes along and pulls the cord on every third light. That is, lights number 3, 6, 9, 12, 15, etcetera. Another person comes along and pulls the cord on lights number 4, 8, 12, 16 and so on. Of course, each person is turning on some lights and turning other lights off.

If there are 20,000 lights, at some point someone is going to come skipping along and pull every 20,000th chain.

When that happens, some lights will be on, and some will be off. Can you predict which ones will be on?

## #16 Re: Puzzles and Games » Matchstick Puzzler » 2005-11-15 12:28:09

congratulations all, it looks like a

!

## #17 Puzzles and Games » Matchstick Puzzler » 2005-11-08 13:20:31

Math Guy
Replies: 8

RAY: This puzzler is from the matchstick series. Imagine, if you will, that you have four matchsticks of equal length. From those, you can easily make a square.

At each of the vertices, there is a right angle, or a ninety-degree angle, so there are four right angles.

TOM: I'm with you!

RAY: Now, using those same four matchsticks, make not 4 but 16 ninety-degree angles.

You might say, "Can I use the third dimension?" You can use any dimension you want.

I should mention, you are not allowed to fold, bend, break staple, or mutilate the matches in any other way.

TOM: Can you use mirrors?

RAY: No, but that shows you're on the right track.

## #18 Puzzles and Games » The License Plate Series, Part III » 2005-10-18 15:49:41

Math Guy
Replies: 0

RAY: This next puzzler is from my license plate series.

TOM: Over the years you've had a puzzler from just about every possible series you could imagine!

RAY: I would credit somebody with this, but I lost his e-mail. If he catches us, we'll send him a shirt. In the past, we've asked people to identify the kind of car that would be sporting a particular license plate.

I'll give you some examples that we've already used:

One was "tan 270" and the car that was affixed to was an Infiniti: the tangent of 270 is infinity.

Here's another one: 4x4x8. It was an Accord. A cord of wood is 4 feet by 4 feet by 8 feet.

So here's today's puzzler: the license plate has four letters on it: "i-n-m-y." "I" like in India, "N" as in November, "M" as in Mike, and "Y" as in Yankee.

What's the car to which it's attached?

## #19 Puzzles and Games » The Mystery of the Frozen Block of Soda » 2005-10-12 12:00:30

Math Guy
Replies: 19

RAY: Last month, Tommy and I were driving home from the Annual Seat Cover Convention. We stopped for gas along the highway. While our tank was being filled, we went inside to buy ourselves some soft drinks. As we reached inside the fridge to grab our drinks the kid behind the counter-- you know, with the one with the six nose rings-- said, "That machine was on the blink yesterday, and everyone was complaining all day that their sodas weren't cold. So, before I put these sodas in this morning, I cranked that baby up! I turned the thermostat way down. Boy, those suckers ought to be real cold now! I won't get any complaints today, I bet."

Tommy opens his bottle and begins drinking the soda. But when I open my bottle, it was frozen solid. I complained.

What happened?

Note:  Please post what you think is correct here!