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imqwerty

  • one year ago

fun question :)))

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  1. imqwerty
    • one year ago
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    i called 2 boys qwerty and lenny and gave them 2 chits. i told them that i wrote 2 consecutive numbers on their chits and those numbers lie anywhere in this set - [1,100].i told them to guess each others number.then the following conversation took place.- qwerty :- lenny, i dont know your number lenny :- i don't your number too. qwerty :-now i know your number. now u have to tell what numbers did qwerty and lenny get.(there are more than 1 answers)

  2. ganeshie8
    • one year ago
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    (2, 3) or (99, 98)

  3. imqwerty
    • one year ago
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    @ganeshie8 yes u r correct but there are some more answers.

  4. ganeshie8
    • one year ago
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    really ?

  5. imqwerty
    • one year ago
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    yes :)

  6. ganeshie8
    • one year ago
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    Alright! let me think a bit :)

  7. imqwerty
    • one year ago
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    ok :)

  8. imqwerty
    • one year ago
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    this question is all about ur thinking power.

  9. imqwerty
    • one year ago
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    i'll be posting the answer after 3-4hours if no one gets it.

  10. ganeshie8
    • one year ago
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    Also (3, 4) and (98, 97). These are all the solutions I think

  11. Empty
    • one year ago
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    I have no idea how (2, 3) or (99, 98) are answers. Am I missing something? I think I've heard this sorta riddle before but I don't remember it. My guess is that if one of them had 1 or 100 then one of them would know the other person's number. So any pair of consecutive numbers between (2,3) and (98,99) make sense to me as possibilities.

  12. imqwerty
    • one year ago
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    congo @ganeshie8 u got the correct answer

  13. ganeshie8
    • one year ago
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    If qwerty has 2, then lenny must be having either 1 or 3 It is clear to qwerty that lenny is not having 1 when lenny said he doesn't know the other number. So qwerty concludes that lenny must be having 3.. .

  14. Empty
    • one year ago
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    Ahhh ok I understand your first two answers now, but what about (3,4) and (98,97) ?

  15. ganeshie8
    • one year ago
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    exact same reasoning : If qwerty has 3, then lenny must be having either 2 or 4 Lenny knows that qwety is not having 1 or 100 because qwerty first revealed that he doesn't know the number. So if Lenny has 2, lenny would have known that the other number is 3 at this point.

  16. imqwerty
    • one year ago
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    correct reasoning well done @ganeshie8

  17. Empty
    • one year ago
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    Ahhhh I see, very tricky. Thank @imqwerty for such a fun problem! :D

  18. ganeshie8
    • one year ago
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    I remember we working on \(\href{ http:///math.stackexchange.com/questions/1125082/a-puzzle-about-a-sum-and-product-of-two-numbers }{this}\) problem here some days back which looks very similar

  19. Empty
    • one year ago
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    What if he had told the two boys I've given you two consecutive numbers mod 100?

  20. Empty
    • one year ago
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    I guess what I'm asking is, do we no longer have the ability to draw any conclusions?

  21. Astrophysics
    • one year ago
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    Lol that's good, thanks for sharing.

  22. imqwerty
    • one year ago
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    mah pleasure

  23. xapproachesinfinity
    • one year ago
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    Isn't it open to more possibilities I would think there are

  24. xapproachesinfinity
    • one year ago
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    2,3 98, 99 just some first options

  25. ganeshie8
    • one year ago
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    looks there are exactly four ordered pairs, you found two of them

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