## 169 puzzles (was 'mind trap')

A forum for good logic/math puzzles.

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Brooklynxman
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### Re: 169 puzzles (was 'mind trap')

My favorite is my last answer

On a sheet of paper, write the following:

VY

The challenge: With a pen, draw a line to make something small and circular.

Spoiler:
I say draw an I and make it Ivy, but Ivy is short and circular?????

Follow these steps and see if you can figure this out.

1) Get a brown, cardboard box.
2) Get purple, orange, and turquoise paints.
3) Paint the box orange.
4) Paint on purple spots.
5) Paint on turquoise stripes.
7) Turn it upside down.

What is missing from this sequence?

Spoiler:
Several things, the sixth step, getting the paintbrush, and being towed away to a mental hospital

A man sees a sign that says 'Coconuts, \$5 a dozen'. With his lightning quick brain he calculated that if he sold those same coconuts to the coconut air assault team for the going rate of \$3 per dozen that in no time at all he would be a millionaire. How does this make any sense?

Spoiler:
As a result of his valued help to the coconut air assault team, he is well rewarded at the end of their current campaign against the mangos

A farmer knows that 20 of his hens, housed in 3 coops, will hatch 30 eggs in 18 days. How long will it take 30 hens, housed in 4 coops to hatch the same number of eggs?

Spoiler:
Infinity, as that many hens attracts a fox, which eats the eggs. [/stupidity]

Jack the lad is staggering home after a few pints in the local pub, and he is drunk. He staggers onto the road wearing black trousers, a black shirt, black jacket, black socks and black shoes. The street has no streetlights. A car with no headlights speeds down the road but manages to swerve and miss him.

Spoiler:
Lucky Jack

A grasshopper is standing on a thin line, facing down the length of the line. It cannot turn, but can only hop directly forward or directly backwards. However, it can jump any distance up to 10 cm in either direction.

Spoiler:
He has only gone forward, and ended up in a loop (I forget exactly what its called, if you have seen the third matrix its like the train station)
We figure out what all this means, then do something large and violent

The thing about changing the world...once you do it the world's all different.

I'm Angel. I beat the bad guys.

Spoiler:

Divra
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### Re: 169 puzzles (was 'mind trap')

If you were on a raft in the middle of the ocean with a pack of cigarettes but had no fire-producing implements, how would you light your cigarette?

Spoiler:
Throw one cigarette overboard to make the raft a cigarette lighter. (I think I heard that one on an old episode of Batman...)

A man sees a sign that says 'Coconuts, \$5 a dozen'. With his lightning quick brain he calculated that if he sold those same coconuts to the coconut air assault team for the going rate of \$3 per dozen that in no time at all he would be a millionaire. How does this make any sense?

Spoiler:
This air assault team will be throwing the coconuts at people, then the man can pick them up and sell them again.
Or, he just steals the coconuts and sells them.
Or maybe he is the one selling for \$5 a dozen, but nobody is buying, so he could make more money by selling them for \$3?

quintopia
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### Re: 169 puzzles (was 'mind trap')

Surprisingly enough, you got the raft one. Had no idea it was from TV.

Macbi
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### Re: 169 puzzles (was 'mind trap')

How many seconds are there in a year?
Indigo is a lie.
Which idiot decided that websites can't go within 4cm of the edge of the screen?
There should be a null word, for the question "Is anybody there?" and to see if microphones are on.

Goldstein
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### Re: 169 puzzles (was 'mind trap')

Spoiler:
Twelve.
Chuff wrote:I write most of my letters from the bottom

quintopia
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### Re: 169 puzzles (was 'mind trap')

since the hexagon puzzle is the only puzzle remaining, I'll go ahead and say I got these from braingle.com

Macbi
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### Re: 169 puzzles (was 'mind trap')

Goldstein wrote:
Spoiler:
Twelve.
Yep.
Spoiler:
January 2nd, February 2nd...
Indigo is a lie.
Which idiot decided that websites can't go within 4cm of the edge of the screen?
There should be a null word, for the question "Is anybody there?" and to see if microphones are on.

Goldstein
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### Re: 169 puzzles (was 'mind trap')

Spoiler:
You're doing it wrong, mate. If I say 12, you should say something like "No, 31,536,000". If I say 31,536,000, you say "No, 12".

Unless it's a leap year. Then there's 29.
Chuff wrote:I write most of my letters from the bottom

The Scyphozoa
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### Re: 169 puzzles (was 'mind trap')

Really I have yet to see a CD that is half an inch thick.
3rdtry wrote:If there ever is another World War, I hope they at least have the decency to call it "World War 2: Episode One"

doogly wrote:murder is a subset of being mean

TheManInTheHat
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### Re: 169 puzzles (was 'mind trap')

Can someone post a new riddle?
enigmad555 wrote:10/9 the man in hat is amazingly epic

The Scyphozoa
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### Re: 169 puzzles (was 'mind trap')

Here's one that's actually from Mind Trap (no Googling, now!)

In (some strange town name that I forgot), Oklahoma, you can't take a picture of a man with a wooden leg. Why?

I'll just say that the name of the town isn't important. Never mind that I forgot it.
3rdtry wrote:If there ever is another World War, I hope they at least have the decency to call it "World War 2: Episode One"

doogly wrote:murder is a subset of being mean

Shieldman
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### Re: 169 puzzles (was 'mind trap')

Spoiler:
Because wooden legs don't take pictures.

The Scyphozoa
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### Re: 169 puzzles (was 'mind trap')

Right.
3rdtry wrote:If there ever is another World War, I hope they at least have the decency to call it "World War 2: Episode One"

doogly wrote:murder is a subset of being mean

Shieldman
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### Re: 169 puzzles (was 'mind trap')

Or alternately...
Spoiler:
The law was passed in 1989 decreeing that "no person could take pictures of another person or persons" due to the Wooden Leg Photographer Massacre of 1982.

HonoreDB
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### Re: 169 puzzles (was 'mind trap')

Better Know a Country

Legislative Branch: How many United States Senators are there?

Executive Branch: What is the maximum number of continuous years someone may serve as President of the United States?

Judicial Branch: What court is above the United States Supreme Court?

Luppoewagan
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### Re: 169 puzzles (was 'mind trap')

Spoiler:
A person can serve 10 years as President, I believe, under current law, if they are Vice-President and succeed the President after 2 years of that term, then run for election and reelection.

Unless there is some trickery in "continuous years" and the answer is 1.

HonoreDB
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### Re: 169 puzzles (was 'mind trap')

J Spade's got the Executive one.

quintopia
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### Re: 169 puzzles (was 'mind trap')

Legislative:
Spoiler:
Until the Minnesota seat issue gets resolved, there are 99 senators in the 111th Congress (counting only senators who are currently seated).

Judicial:
Spoiler:
Depends on what you mean by "above." Cases tried by the Supreme Court cannot be appealed to a higher court, but there are other courts in the U.S. which have the same property. If you mean "above" in the physical sense and by "Supreme Court" you mean "Supreme Court courtroom", there is a basketball court on the fifth floor of the Supreme Court building, which would be the most 169ish answer.

Volcano
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### Re: 169 puzzles (was 'mind trap')

While i was going to Villavieja, 7 old ladies walked past right me. every lady had 7 bags, and 7 sheep in each bag.

how many old ladies and sheep were going to Villaveja?

first post yay ^^

solution:
Spoiler:
none, I was going to Villavieja. they walked past right me, so they came from Villavieja.

I don't know if it's worded properly, maybe it makes no sense.

joshz
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### Re: 169 puzzles (was 'mind trap')

Volcano wrote:While i was going to Villavieja, 7 old ladies walked past right me. every lady had 7 bags, and 7 sheep in each bag.

how many old ladies and sheep were going to Villaveja?

first post yay ^^

solution:
Spoiler:
none, I was going to Villavieja. they walked past right me, so they came from Villavieja.

I don't know if it's worded properly, maybe it makes no sense.
I've heard it as
"On my way to Saint Ives
I met a man with seven wives
Wives, kids, cats, kits
How many people on the way to Saint Ives?"
You, sir, name? wrote:If you have over 26 levels of nesting, you've got bigger problems ... than variable naming.
suffer-cait wrote:it might also be interesting to note here that i don't like 5 fingers. they feel too bulky.

BoomFrog
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### Re: 169 puzzles (was 'mind trap')

HonoreDB wrote:Legislative Branch: How many United States Senators are there?

Spoiler:
I'm going to go with zero Senators that represent the entire country.

Edit to avoid double posting:

quintopia wrote:bogglesteinsky and ian: correct. that closes all open problems, except the technical detail on the heron, which I will put here since no one cares:

Spoiler:
The fish has to ask a question which isn't yes/no. Otherwise, the heron can just nod or shake his head, like he did when he accepted the bet.

I disagree.
Spoiler:
The Heron could still shake his head no which would be a "wrong" answer to the question then eat the fish.
"Everything I need to know about parenting I learned from cooking. Don't be afraid to experiment, and eat your mistakes." - Cronos

a Person
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### Re: 169 puzzles (was 'mind trap')

quintopia wrote:+1 to Tiax, chridd, and Esquilax.
It's 1962, and you are traveling to Innsbruck, Austria to see the Winter Olympics. When you appear at the new stadium, nobody is there. You ask a passerby, "Why isn't anyone here for the Winter Olympics?"

The man answers your question, you both laugh at your silly mistake, and you go back home.

What did the passerby tell you?

It's summer (or spring or autumn)

zombiefeynman
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### Re: 169 puzzles (was 'mind trap')

quintopia wrote:+1 to Tiax, chridd, and Esquilax.
It's 1962, and you are traveling to Innsbruck, Austria to see the Winter Olympics. When you appear at the new stadium, nobody is there. You ask a passerby, "Why isn't anyone here for the Winter Olympics?"

The man answers your question, you both laugh at your silly mistake, and you go back home.

What did the passerby tell you?

"You made a wrong turn. You're in New York." (Hey, it said you were traveling to Innsbruck, and that you arrived at a stadium. The problem completely failed to address the possibility that you suck at reading directions.)

eaglef2
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### Re: 169 puzzles (was 'mind trap')

There are 100 possible answers to this question...

How many answers are there to this question?
"I am a four hundred-foot tall purple Platypus Bear with pink horns and silver wings."
-Azula, Avatar: The Last Airbender.

phlip
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### Re: 169 puzzles (was 'mind trap')

I suppose I'll get the ball rolling?
Spoiler:
1. One hundred.
2. Twice fifty.
3. Half of two hundred.
4. The quantity of distinct letters in this (jokingly) excessively verbose answer, multiplied by four.

I suspect there's actually far more than 100 answers, though (thus the question is false, thus principle of explosion, thus everything is an answer).

Code: Select all

`enum ಠ_ಠ {°□°╰=1, °Д°╰, ಠ益ಠ╰};void ┻━┻︵​╰(ಠ_ಠ ⚠) {exit((int)⚠);}`
[he/him/his]

Silas
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### Re: 169 puzzles (was 'mind trap')

Meanwhile, I'll try the other route.
Spoiler:
Just one.
Felstaff wrote:Serves you goddamned right. I hope you're happy, Cake Ruiner

Nitrodon
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### Re: 169 puzzles (was 'mind trap')

I'll take the middle route then.
Spoiler:
100, one of which is correct

eaglef2
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### Re: 169 puzzles (was 'mind trap')

Spoiler:
2, The answer can be 100, but if you answer 100 then you have a single answer, so you can just say 1, therefore there are two answers. You may kill me now...
"I am a four hundred-foot tall purple Platypus Bear with pink horns and silver wings."
-Azula, Avatar: The Last Airbender.

Silas
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### Re: 169 puzzles (was 'mind trap')

I'm confused now, because you've just given a third answer.

I like Phlip's reply best, but didn't have the patience to carry on with it.
Felstaff wrote:Serves you goddamned right. I hope you're happy, Cake Ruiner

eaglef2
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### Re: 169 puzzles (was 'mind trap')

Yeah I realize it's a paradoxical answer that increases itself to three, eliminating "2" in the process
"I am a four hundred-foot tall purple Platypus Bear with pink horns and silver wings."
-Azula, Avatar: The Last Airbender.

uncivlengr
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### Re: 169 puzzles (was 'mind trap')

Spoiler:
2, The answer can be 100, but if you answer 100 then you have a single answer, so you can just say 1, therefore there are two answers. You may kill me now...
Spoiler:

Actually, maybe it'd make more sense to say, "There are 101 answers, including this one."

On whether or not that implies that there are now 102 answers, I'd say no - if you add "there are 102 including this one" then you're negating the first additional answer, and you're still left with 101.
I don't know what to do for you

eaglef2
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### Re: 169 puzzles (was 'mind trap')

well I guess it is possible to get away with 1 answer by saying the above statement is false therefore there are 0 answers, which is an answer itself, so you get one answer. Thus proving 0 = 1.
"I am a four hundred-foot tall purple Platypus Bear with pink horns and silver wings."
-Azula, Avatar: The Last Airbender.

quintopia
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### Re: 169 puzzles (was 'mind trap')

i think the answer is zero also, assuming that "answers" means "statements that correctly satisfy the unknown in the question" and not just "replies." because , e.g. if there were 5 independent answers, then all subsets of the set of five answers is also an answer, so there are at least 2^5 answers. In particular, the set of answers is the power set of all independent correct answers, and so the number of answers is a power of two or infinity. But 100 is not a power of two, so the question is malformed, and therefore can have no answers.

On the other hand, if "answers" just means "replies" then there are infinitely many such answers, and therefore the statement before the question has nothing to do with the question.

But if the statement before the question has nothing to do with the question, then the meaning of "answer" is irrelevant: there are infinitely many correct responses also.

zombiefeynman
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### Re: 169 puzzles (was 'mind trap')

eaglef2 wrote:There are 100 possible answers to this question...

How many answers are there to this question?

Well, I see two questions. The first one has 100 possible answers, but isn't phrased as a question. The second one has exactly one answer: 'One'

Even if they are the same question - it's still the same. I read it as:
[Begin current puzzle]

There is a set with 100 elements of [thing that might be correct answer] to [current puzzle]. The correct answer to [this current puzzle] is the size of the set of [things that are correct answers] to [current puzzle].

[End current puzzle]

Possible answers are '1' (for {1} ), '2' (for {2, 2} ), '3' (for {3, 3, 3} ), etc., but since identical answers collapse, the only remaining answer is 1. Zero doesn't count because an answer of zero corresponds to {0}, which has size 1.

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### Re: 169 puzzles (was 'mind trap')

zombiefeynman wrote:Possible answers are '1' (for {1} ), '2' (for {2, 2} ), '3' (for {3, 3, 3} ), etc., but since identical answers collapse, the only remaining answer is 1. Zero doesn't count because an answer of zero corresponds to {0}, which has size 1.

But {2,2}={2} has cardinality one, so really {1} is the only correct answer.

On a sheet of paper, write the following:

VY

The challenge: With a pen, draw a line to make something small and circular.

Spoiler:
Draw a short line, then wait a bit to pick up the pen so that it leaves an inkblot?
Theorem (Huneke-Hochster). We don't know much about anything.

zombiefeynman
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### Re: 169 puzzles (was 'mind trap')

zombiefeynman wrote:Possible answers are '1' (for {1} ), '2' (for {2, 2} ), '3' (for {3, 3, 3} ), etc., but since identical answers collapse, the only remaining answer is 1. Zero doesn't count because an answer of zero corresponds to {0}, which has size 1.

But {2,2}={2} has cardinality one, so really {1} is the only correct answer.

Isn't that what I said...? It's what I meant - that once you evaluated anything but {1}, it would become {n}, thus giving answer {1}.

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### Re: 169 puzzles (was 'mind trap')

zombiefeynman wrote:
zombiefeynman wrote:Possible answers are '1' (for {1} ), '2' (for {2, 2} ), '3' (for {3, 3, 3} ), etc., but since identical answers collapse, the only remaining answer is 1. Zero doesn't count because an answer of zero corresponds to {0}, which has size 1.

But {2,2}={2} has cardinality one, so really {1} is the only correct answer.

Isn't that what I said...? It's what I meant - that once you evaluated anything but {1}, it would become {n}, thus giving answer {1}.

Yep, I misunderstood when you said "possible answers" and then listed ones which you then ruled out. Sorry!
Theorem (Huneke-Hochster). We don't know much about anything.

ttsgeb
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### Re: 169 puzzles (was 'mind trap')

On a sheet of paper, write the following:

VY

The challenge: With a pen, draw a line to make something small and circular.

Spoiler:
The word "write" implies that this is in cursive, and thus you have a small loop on each letter, you therefore just carry that loop to the letter and get a tiny circle. Alternatively, flip it over and make the "V" into an "A" leaving you with "hA" so to say you will not attempt said challenge.

Placed on an empty table in front of you are four large plastic letters. These letters are the lowercase "a", the lowercase "n", the lowercase "t", and the lowercase "h".

Your challenge: Arrange the four letters to make a hexagon.

The hexagon you must make has no curved side; do not use a curved side as a straight one. Also, the letters must be flat on the table, and no letters can be flipped over or stacked on top of each other.

Assume the letters are small enough to allow room for rotation.

Spoiler:
Because the a has only curved sides, it can be disreguarded. now, find a corner of the table, this will make two sides. Place the "t" at an arbitrary angle. You should now have four of the six sides. Use the straight parts of the "h" and "n" to create the further two sides. Alternate: "the four letters" has 3 of the letter "t" in it, each providing two sides that can be connected to create a six sided hexagon.

quintopia
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### Re: 169 puzzles (was 'mind trap')

This answers the VY question and the hexagon question as they were originally intended to be answered. Maybe you shouldn't read this if you intend to come up with alternate solutions.

VY:
Spoiler:
The riddle says you are allowed to use A PEN and a line. Put A PEN to the left of the VY, and add a line on the left side of the V to get "A PENNY."

hexagon:
Spoiler:
Turn the n upside-down and arrange the letters to spell the word "utah," a state which is a hexagon.

zombiefeynman
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### Re: 169 puzzles (was 'mind trap')

Oh. For the 'small and circular' one I was just going to write 'something' quite small wrapping around itself. Then I'd draw a line with arrows indicating that 'something' was indeed small and circular. I just couldn't quite get the end conditions right.