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Author | Topic: Mikey's Riddles topic | |||||||||||||||||||||||||||||||||||||||
frako Member (Idle past 334 days) Posts: 2932 From: slovenija Joined: |
Nothing
If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door. Edited by frako, : No reason given.Christianity, One woman's lie about an affair that got seriously out of hand Jesus was a dead jew on a stick nothing more
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crashfrog Member (Idle past 1495 days) Posts: 19762 From: Silver Spring, MD Joined: |
It depends - how long is your nose?
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Dr Adequate Member (Idle past 313 days) Posts: 16113 Joined: |
Here's one I made up.
"I'm thinking of a number between one and ninety-nine," says Bob. "Guess what it is." "Give me a clue," says Alice. "What's the sum of its digits?" So Bob tells her. "That's not enough information for me to figure out the answer," says Alice, "Is it greater than fifty?" So Bob tells her. "Now I know what the number is," replies Alice. And tells him. "OK," says Bob, "maybe that was too easy. I'm thinking of a different number between one and ninety-nine. Try again." "What's the sum of its digits?" Alice asks. So Bob tells her. "Thank you," says Alice, "but that's not enough information to figure out the answer. Is it less than fifty?" So Bob tells her. "In that case," says Alice, "I know your number." And she tells him what it is. "OK, says Bob, "let's try again. I'm thinking of a third number between one and ninety-nine, different from the first two." "Is it greater than fifty?" asks Alice. So Bob tells her. "And what's the sum of its digits?" asks Alice. So Bob tells her. "Ah," says Alice, "now I know what your number is". And once more she is perfectly correct. So what (in the right order please) were Bob's three numbers?
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Aware Wolf Member (Idle past 1448 days) Posts: 156 From: New Hampshire, USA Joined: |
49, then 50, then 99
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Panda Member (Idle past 3741 days) Posts: 2688 From: UK Joined: |
Aware Wolf writes:
I thought those were the possible answers, but I couldn't figure out how to know the order they were given. 49, then 50, then 99How did you do it? How do we know it is not 50...99...49? Is it just an inference from ""Is it greater than fifty?" and ""Is it less than fifty"? Edited by Panda, : No reason given.If I were you And I wish that I were you All the things I'd do To make myself turn blue
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Dr Adequate Member (Idle past 313 days) Posts: 16113 Joined: |
I thought those were the possible answers, but I couldn't figure out how to know the order they were given. How did you do it? How do we know it is not 50...99...49? Suppose the first number was 50. Then Bob's first two answers would have been "the sum of its digits is 5" and "no, it's not greater than 50". But in that case the possible numbers would have been 5, 14, 23, 32, 41 and 50, and so Alice wouldn't have known what the answer was. The key to solving it is the fact that Bob must be giving Alice enough information to deduce the numbers. The first number can't be 50 because in that case she wouldn't have enough information to deduce that that's what it was.
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Panda Member (Idle past 3741 days) Posts: 2688 From: UK Joined: |
Dr. A writes:
Ah yes! I see now. I missed a couple of the small details in the question. The key to solving it is the fact that Bob must be giving Alice enough information to deduce the numbers.Thanks for the explanation. If I were you And I wish that I were you All the things I'd do To make myself turn blue
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RAZD Member (Idle past 1433 days) Posts: 20714 From: the other end of the sidewalk Joined: |
Hi Panda, Aware Wolf and Dr A:
Well done Aware Wolf -- as I see it anyway:
49 is the only number that is not greater than 50 that adds up to 13, there are multiples of all the other digit adds (except 99), and there are others more than 50 that also add to 13. 50 is the only number that is not less than 50 that adds up to 5, there are multiples of all the other digit adds (except 99), and there are others less than 50 that also add up to 5. 99 is the only number that adds up to 18, so knowing this first gives it away, only the third question asks this detail second, and even when you remove the other two numbers there are multiples of the other digit adds. Solution hidden so no spoiler ... Enjoy. Edited by Zen Deist, : added Dr A Edited by Zen Deist, : Solution hidden so no spoiler ...by our ability to understand Rebel American Zen Deist ... to learn ... to think ... to live ... to laugh ... to share. Join the effort to solve medical problems, AIDS/HIV, Cancer and more with Team EvC! (click)
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Panda Member (Idle past 3741 days) Posts: 2688 From: UK Joined: |
That's how I see it (after Dr. A's explanation) too.
The question requires identifying unique sums combined with unique positions on one side of the 50 mark.{highlight} I stupidly missed that 50 is not "greater than 50" and that the 3rd set of questions are reversed.That will teach me not to try and answer logic problems while watching comedy on TV. Edited by Panda, : No reason given. Edited by Panda, : No reason given. Edited by Panda, : No reason given.If I were you And I wish that I were you All the things I'd do To make myself turn blue
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RAZD Member (Idle past 1433 days) Posts: 20714 From: the other end of the sidewalk Joined: |
Ah, but WHAT comedy, that is the question!
Enjoy.by our ability to understand Rebel American Zen Deist ... to learn ... to think ... to live ... to laugh ... to share. Join the effort to solve medical problems, AIDS/HIV, Cancer and more with Team EvC! (click)
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Panda Member (Idle past 3741 days) Posts: 2688 From: UK Joined: |
RAZD writes:
Mock The Week Ah, but WHAT comedy, that is the question!If I were you And I wish that I were you All the things I'd do To make myself turn blue
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caffeine Member (Idle past 1053 days) Posts: 1800 From: Prague, Czech Republic Joined:
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If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door. Two moves. I can reach two feet.
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bluescat48 Member (Idle past 4218 days) Posts: 2347 From: United States Joined: |
Although totally impractical, technically, one would never reach the door, by halving the distance, the distance would always be greater than Zero.
There is no better love between 2 people than mutual respect for each other WT Young, 2002 Who gave anyone the authority to call me an authority on anything. WT Young, 1969 Since Evolution is only ~90% correct it should be thrown out and replaced by Creation which has even a lower % of correctness. W T Young, 2008
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Aware Wolf Member (Idle past 1448 days) Posts: 156 From: New Hampshire, USA Joined: |
What happens when you are 1 Planck length away? Do you then move 1/2 the distance to the door anyways?
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Dr Adequate Member (Idle past 313 days) Posts: 16113 Joined: |
Although totally impractical, technically, one would never reach the door, by halving the distance, the distance would always be greater than Zero. Not necessarily. If the time taken to make a move is proportional to the distance moved, then it would take an infinite number of moves but only a finite amount of time.
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