See title

  • dukeofdummies@lemmy.world
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    7 days ago

    What’s at the start of an era, twice in a generation, nowhere in an instant, but awaits you at the end of time?

    spoiler

    the letter e

  • Rhynoplaz@lemmy.world
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    8 days ago

    I’ve always been fond of:

    The person who makes me, doesn’t want me

    The person who buys me, didn’t need me

    The person who uses me, doesn’t even know it

    What am I?

    Maybe not the hardest, but it’s a good one, and most people I ask, don’t get it very quickly.

    I’m not sure how to spoilers the answer, so I’ll just give you time to guess the answer. It’s more fun that way.

  • NeoNachtwaechter@lemmy.world
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    8 days ago

    Look at these equations:

    1^3 = 1^2

    1^3 + 2^3 = (1+2)^2

    1^3 + 2^3 +3^3 = (1+2+3)^2

    1^3 + 2^3 +3^3 +4^3 = (1+2+3+4)^2

    Question:

    Can it go on like this forever, is it always a true equation? If yes, why? If no, why?

    • DreamlandLividity@lemmy.world
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      8 days ago
      Proof by induction?

      1±2±3±...±n =(1+n)*n/2

      plugging that into the right side of the equation to transform it:

      ((1+n)*n/2)^2 = (1+n)^2*n^2/4=n^2(n^2+2n+1)/4 = (n^4 + 2n^3 +n^2)/4

      If this holds for n: 1^3 + 2^3 +3^3 + ... + n^3 = (n^4 + 2n^3 +n^2)/4

      Then for n+1: (n^4 + 2n^3 +n^2)/4 + (n+1)^3 =? (1+n + 1)^2*(n+1)^2/4

      (n^4 + 2n^3 +n^2)/4 + (n+1)^3 =? (n^2+4n + 4)(n^2 +2n + 1)/4

      (n^4 + 2n^3 +n^2)/4 + (n+1)^3 =? (n^4 + 4n^3 + 4n^2 + 2n^3 + 8n^2 + 8n + n^2 + 4n + 4)/4

      (n^4 + 2n^3 +n^2)/4 + (n+1)^3 =? (n^4 + 2n^3 + n^2)/4 + (4n^3 + 12n^2 + 12n + 4)/4

      (n+1)(n^2 +2n + 1) =? n^3 + 3n^2 + 3n + 1

      n^3 + 2n^2 + n + n^2 + 2n + 1 =? n^3 + 3n^2 + 3n + 1

      n^3 + 3n^2 + 3n + 1 =? n^3 + 3n^2 + 3n + 1

      Which is obviously true.

      So yes, it holds for any natural number n.


    • Cuberoot@lemmynsfw.com
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      8 days ago
      Your math teacher might not approve of this proof

      The given examples suffice to prove the general identity. Both sides are obviously degree 4 polynomials, so if they agree at 5 points (include the degenerate case 0^3 = 0^2), then they agree everywhere.


  • beesthetrees@feddit.uk
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    7 days ago

    What has 11 heads, 2 wings and 22 legs?

    Answer

    A football team.

    Not a particularly hard one, but I always enjoyed it.

  • GeeDubHayduke@lemmy.dbzer0.com
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    7 days ago

    Everyone knows the hardest riddle of all time:

    “What’s in my pocket?”

    You even get to keep a gold ring if you use that one!

  • rhythmisaprancer@moist.catsweat.com
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    8 days ago

    What walks on four legs at dawn, two legs at noon, and three legs at dusk?

    spoiler-title

    Humans in their three stages of life: crawling at birth, walking upright in main life, and walking assisted at the end

  • jonathanvmv8f@lemm.ee
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    7 days ago

    Poor people have it.

    Rich people need it.

    If you eat it, you die.

    What is it?

    Tap for spoiler

    Nothing

      • ace_garp@lemmy.world
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        6 days ago

        I’d say, your 4 are in this 6:

        Name your heroine after me.

        Name me the skin

        Without this common currency

        Without you I am incomplete 1

        Without you I am incomplete 2

        This: Brought by man

        • PS, I am not looking for any answers here at all. (Spoiler-tags do not work in several clients)

        I’m fine solving these 15yrs later or not at all. The unsolved ones are good for campfires, or travelling through other countries.

        • Actually only one of them is in that list. I’m still missing:

          • Name me the skin (like you said)
          • Recursion here
          • My warmth connects

          I was stuck on Where, close at hand too but I got that one last night.

          I got the other ones on day one, hopefully it won’t take me another 15 years to get the remaining three.

          Are those 6 the ones you’re still missing? I won’t give any answers, that wouldn’t be much fun.

          I am a non-native speaker (Dutch), I wonder if that’s helping or hindering me…

          • ace_garp@lemmy.world
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            5 days ago

            This is my 3rd phone, since solving them the first time, so I just went through and got the ones I remember.

            I’m glad the other 5 of 6 are solvable. Thanks for confirming that.

            Looks like ‘Name me the skin’ is the hardest one of all.

            I’m pretty sure you will get the other 2 in a couple of days.

            The ‘skin’ question… ~5-10 years ? (c:

    • davidgro@lemmy.world
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      8 days ago

      I think if I tried that, it would only be a day or two before I went digging into the source code.

  • FourPacketsOfPeanuts@lemmy.world
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    8 days ago

    Some android apps don’t honour spoiler tags (Boost) :( Feel free to link to your answer somewhere instead of spoiler tagging it if you feel extra nice :)

      • ApollosArrow@lemmy.world
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        7 days ago

        The version I heard was. “What’s lighter than a a feather, lighter than a flower, the strongest man cannot hold me, for a quarter of an hour”

  • Snapz@lemmy.world
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    8 days ago

    A dolphin is neither a horse nor a boat.

    A boat is neither a horse nor a dolphin.

    A horse is neither a dolphin nor a boat.

    But what is the one common thing that would happen if you were to bite any of these three things?

  • Onionguy@lemm.ee
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    8 days ago

    These will make you angry But they might make you laugh

    These have been around quite long Yet you’d never expect them

    Tap for spoiler

    Deez nuts lmao gottem