Math and Logic Puzzles

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Math and Logic Puzzles

Post Post #0 (ISO) » Sat Jul 09, 2011 6:21 am

Post by StrangerCoug »

The rules of this game are very simple. The puzzle maker (for the first puzzle, I) will present a question that can be solved by math or logic.
Each player gets one chance and one chance only to solve the puzzle. If you get it right, you become the next puzzle maker. If three people miss, the puzzle maker wins and posts a new puzzle.


Puzzle makers: Try to make each puzzle have a unique solution. Chess puzzles in which making a different move has no real effect on the outcome (e.g. it doesn't matter if a king on g1 moves to f1 or h1) are fine, as are "fill in the grid" puzzles where a different orientation is still correct, but you shouldn't be making puzzles where making major differences from what you have still results in a correct answer.

Do not post a puzzle if it is not your turn unless the person who won says it is OK. (I'll allow exceptions for if it takes an unreasonably long time to put up a puzzle, but "an unreasonably long time" has yet to be defined.)


(
Edit 4/21/2014:
The rules stricken out above have not been enforced in a long time. It's more laid back these days, though I'd still like only one person asking a question at a time.)

I'll start with a math puzzle.

Timmy, who is a gambling addict, enters a casino with $50 at 7:00 PM. He loses $20 in his first five minutes, but in the next five minutes he is able to make $15 of it back. He loses $20 more in his third five minutes, wins $15 back in his fourth five minutes, and so on in that cycle. At what time will he run out of money?
Last edited by StrangerCoug on Wed Jul 13, 2011 11:39 am, edited 1 time in total.
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Post Post #1 (ISO) » Sat Jul 09, 2011 6:24 am

Post by Kcdaspot »

5 dollars gone in 10 minutes


15 in 30

25 in 50

50 in 100.

100 = 8:40 pm.
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Post Post #2 (ISO) » Sat Jul 09, 2011 6:27 am

Post by StrangerCoug »

Kcdaspot wrote:5 dollars gone in 10 minutes


15 in 30

25 in 50

50 in 100.

100 = 8:40 pm.

Wrong.
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Post Post #3 (ISO) » Sat Jul 09, 2011 6:29 am

Post by Kcdaspot »

in his fourth ...

OH....

then it's 8:05 pm.

25 - 20 + 15 = 20 = 10 minutes, and then 5 mins later....



i fail.

gimme another.
Last edited by Kcdaspot on Sat Jul 09, 2011 6:33 am, edited 2 times in total.
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Post Post #4 (ISO) » Sat Jul 09, 2011 6:32 am

Post by StrangerCoug »

You only get one shot a puzzle, Kcdaspot.
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Post Post #5 (ISO) » Sat Jul 09, 2011 6:32 am

Post by DonJosh »

StrangerCoug wrote:
Timmy, who is a gambling addict, enters a casino with $50 at 7:00 PM. He loses $20 in his first five minutes, but in the next five minutes he is able to make $15 of it back. He loses $20 more in his third five minutes, wins $15 back in his fourth five minutes, and so on in that cycle. At what time will he run out of money?


He ran out of money at 8:05.
At 8:00, he had $20. He lost it by 8:05. You can't regain money if you have none to start.
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Post Post #6 (ISO) » Sat Jul 09, 2011 6:33 am

Post by DonJosh »

DAMMIT kcda ninja'd me :(
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Post Post #7 (ISO) » Sat Jul 09, 2011 6:33 am

Post by Kcdaspot »

StrangerCoug wrote:You only get one shot a puzzle, Kcdaspot.

my bad...

i can't help myself.
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Post Post #8 (ISO) » Sat Jul 09, 2011 6:34 am

Post by StrangerCoug »

DonJosh wrote:DAMMIT kcda ninja'd me :(

No he did not—he made a second guess and he's only allowed one, so I cannot judge the second one. 8:05 PM is correct and you get to make the next puzzle!
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Post Post #9 (ISO) » Sat Jul 09, 2011 8:22 am

Post by DonJosh »

Agh! Sorry for being so late. I was out. Anyhoo, lets start with a classic, just cuz I'm too tired to think...

You are traveling by foot to a shop in the City of Truth, where everybody tells the truth. You reach a fork in the road. You know the City of Truth is one way, but you don't know which. You also know that the City of Lies, where everybody lies, is on the opposite side of the road as the City of Truth. There are two children standing at the fork. You can tell that one of them is from the City of Truth, and one is from the City of Lies, but you cant tell them apart. You can ask them one question. What would be the best question to ask?

Sorry for unoriginality and possibly awkward wording, but I'm already late enough as is
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Post Post #10 (ISO) » Sat Jul 09, 2011 8:45 am

Post by Tragedy »

/Confused

"How close am I from the City of Truth?"
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Post Post #11 (ISO) » Sat Jul 09, 2011 8:47 am

Post by Espeonage »

DonJosh wrote:Agh! Sorry for being so late. I was out. Anyhoo, lets start with a classic, just cuz I'm too tired to think...

You are traveling by foot to a shop in the City of Truth, where everybody tells the truth. You reach a fork in the road. You know the City of Truth is one way, but you don't know which. You also know that the City of Lies, where everybody lies, is on the opposite side of the road as the City of Truth. There are two children standing at the fork. You can tell that one of them is from the City of Truth, and one is from the City of Lies, but you cant tell them apart. You can ask them one question. What would be the best question to ask?

Sorry for unoriginality and possibly awkward wording, but I'm already late enough as is


Ask one what the other would say if I asked then which way to the city of truth. You then go the other way.
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Post Post #12 (ISO) » Sat Jul 09, 2011 8:48 am

Post by Twistedspoon »

"are you both from the city of truth?"

the liar will say yes and the truth dude will say no

I have no logic puzzles at present so I open the floor
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Post Post #13 (ISO) » Sat Jul 09, 2011 8:48 am

Post by Twistedspoon »

ninjas >_>
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Post Post #14 (ISO) » Sat Jul 09, 2011 8:48 am

Post by DonJosh »

Espeonage got it
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Post Post #15 (ISO) » Sat Jul 09, 2011 8:48 am

Post by DonJosh »

And TS ninja'd me twice
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Post Post #16 (ISO) » Sat Jul 09, 2011 8:49 am

Post by Tragedy »

DonJosh wrote:Espeonage got it


In a logical way, TS' question would be more correct.
I blame you for this.
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Post Post #17 (ISO) » Sat Jul 09, 2011 8:50 am

Post by DonJosh »

Tragedy wrote:
DonJosh wrote:Espeonage got it


In a logical way, TS' question would be more correct.


He only has one question. Now how does he know where the City of Truth is?
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Post Post #18 (ISO) » Sat Jul 09, 2011 8:50 am

Post by Espeonage »

He missed the bit where you have one question to determine what way to go.

I did algorithms and problem solving at uni last year. We spent three weeks on knights and knaves.
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Post Post #19 (ISO) » Sat Jul 09, 2011 8:51 am

Post by Bowser »

Espeonage wins.
It's
BOWSER TIME!
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Post Post #20 (ISO) » Sat Jul 09, 2011 8:52 am

Post by Tragedy »

I wonder what logical question will there be :(
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Dokidoki Precure!


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Tragedy
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Post Post #21 (ISO) » Sat Jul 09, 2011 9:01 am

Post by animorpherv1 »

TS should win that. Espe asked a question to both, which is 2 questions. For TS's, all you need to do is ask one of them.
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Post Post #22 (ISO) » Sat Jul 09, 2011 9:02 am

Post by Hoppster »

Bowser wrote:
Espeonage wins
Twistedspoon loses.

FTFY

P-Edit: No, Twistedspoon is wrong. Espeo is right. I've heard the riddle before.
Benmage: First, for the sake of irony. I'm going to illustrate how completely idiotic and hypocritical scumhunter is.
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Post Post #23 (ISO) » Sat Jul 09, 2011 9:02 am

Post by Twistedspoon »

Espe wins

he figured out which way to go
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Post Post #24 (ISO) » Sat Jul 09, 2011 9:02 am

Post by Twistedspoon »

i misread the question

*goes to face with a name thread*
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