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Thread: Math Challenged

  1. #1
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    Math Challenged

    The game is a math game, we start out with a simple math question then whoever answers it has to come up with a slightly harder question. Ok what is 12x12?

  2. #2
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    ok
    (17x4)+37

  3. #3
    Okay, 105.

    Now, what is the square root of 0.1?

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    0.316....

    What is the last digit of the number 2007^2007?

  5. #5
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    3?

  6. #6
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    Quote Originally Posted by JMV View Post
    3?
    Correctomunto!

    You now have the honor of asking the next question, my friend.

  7. #7
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    Thank you.

    What's √123456789ABCDEFEDCBA987654321 in base-16 (hexadecimal)?

  8. #8
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    111,111,111,111,111

    presuming I'm correct, what is the first set of "10s" (e.g. 20 through 29, or 140 through 149) for which there are no prime numbers.

  9. #9
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    what is the smallest number which can be written as the sum of two (positive) cubes in two different ways?
    except 2

  10. #10
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    I'll post the answer in 12 hours, for now I'll need to ask for the number to get a taxicab.
    Last edited by The_Radiation_Specialist; 2007-Sep-18 at 02:04 PM. Reason: hints

  11. #11
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    http://en.wikipedia.org/wiki/1729_%28number%29
    1729 = 1^3 + 12^3 = 9^3 + 10^3

    Post a question anyone...

  12. #12
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    A rectangular floor is covered by square tiles. The tiles along the edge of the floor are red. The rest are white. There is an equal number of red and white tiles.

    How many tiles are there?

  13. #13
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    8x6

  14. #14
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    Nice, you need to post a slightly harder question now, TRS.

  15. #15
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    Using only three "9's" and any mathematical sign (+ - X / sqrt ^ ! etc) make it so that it can equal digits 1 to 10.

    eg. for 1 you could write (9/9)^9

    note there must be three "9's"


  16. #16
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    1: (9/9)^9
    2: (9+9)/9
    3: sqrt (9*9/9)
    4: sqrt(9) + 9/9
    5: sqrt(9)!-9/9
    6: (sqrt (9*9/9))!
    7: sqrt(9) + 9/9
    8: 9 - (9/9)
    9: 9*9/9

    edit: Thanks to Eroica for pointing out the missing factorial:
    7: sqrt(9)! + 9/9

    Coincidentally (re TRS's comment), I gave some thought to being a smart aleck and using 0.999... as the answer to "1", but since it used a "0", it technically would have been wrong.
    Last edited by pghnative; 2007-Sep-21 at 12:46 PM. Reason: correct typo

  17. #17
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    *Reads the thread, then slowly backs away*

    Aha! My math-fu is too weak...

  18. #18
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    7: sqrt(9) + 9/9
    ?

    more like 9-sqrt(9) + 0.9(recurring)


    No Discussions about the validity of 0.999... = 1 ! I'm serious.

  19. #19
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    Quote Originally Posted by pghnative View Post
    7: sqrt(9) + 9/9
    Just a typo, I think. He forgot the factorial sign:

    (sqrt(9))! + 9/9 = 7

  20. #20
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    Quote Originally Posted by The_Radiation_Specialist View Post
    I'll post the answer in 12 hours, for now I'll need to ask for the number to get a taxicab.
    I've been meaning to ask: how was that a hint for 1729?

    Anyway: What's the smallest number that, when squared, produces a four digit number comprised of two 2-digit primes.

    e.g. 37^2 = 1369 -- thirteen is prime, but 69 isn't, so 37 isn't the answer.

  21. #21
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    "69", dude!

    Find the largest 51-digit number divisible by 11. (probably takes fewer keystrokes to describe the number than to type it out!)

    Todd

  22. #22
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    I've been meaning to ask: how was that a hint for 1729?
    Taxicab numbers

    Find the largest 51-digit number divisible by 11.
    999,999,999,999,999,999,999,999,999,999,999,999,99 9,999,999,999,990

  23. #23
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    I didn't count the 9s, but unless you miscounted, it's right.

    Todd

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    How much dirt is there in a pentagonal prism-shaped hole with each side of the pentagon 1 meter and the depth 4 meters? Approximate to the nearest meter cube.

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    none

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    121 is an example of a palindromic perfect square. Of course, it's square root (11) is also a palindrome.

    What is the smallest palindromic perfect square whose square root is not a palindrome.

  28. #28
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    Quote Originally Posted by The_Radiation_Specialist View Post
    8x6
    Very good. But is this the only possible answer? (Hint: No)

  29. #29
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    Quote Originally Posted by pghnative View Post
    121 is an example of a palindromic perfect square. Of course, it's square root (11) is also a palindrome.

    What is the smallest palindromic perfect square whose square root is not a palindrome.
    26^2 =676, assuming standard conditions (base 10 and all that).

  30. #30
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    A fisherman catches a number of fish. The 3 heaviest together make up 35% of the total weight of the catch. He immediatelly sells these fish. At this point the 3 lightest fish make up 5/13 of the weight of the remaining fish.

    How many fish did the fisherman catch?

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