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asnaseer

  • 2 years ago

Puzzle time: You are allowed to use any number of mathematical operators or functions (e.g. +, -, *, /, sin, cos, tan, factorial, sqrt, etc) but only two constants both of which must be the number 2.

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  1. asnaseer
    • 2 years ago
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    Use these rules to produce the number 5.

  2. karatechopper
    • 2 years ago
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    what r sin cos tan and factorial?

  3. asnaseer
    • 2 years ago
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    they are trigometry functions

  4. asnaseer
    • 2 years ago
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    *trigonometry

  5. karatechopper
    • 2 years ago
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    i dont knw em..

  6. karatechopper
    • 2 years ago
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    do we need to know then for this?

  7. asnaseer
    • 2 years ago
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    I know of two ways of solving this - one requires the use of trig functions but the other one does not...

  8. karatechopper
    • 2 years ago
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    3+2

  9. asnaseer
    • 2 years ago
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    you are not allowed to use the number 3. the only "number" you can use are 2 and 2 - i.e. two 2's

  10. karatechopper
    • 2 years ago
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    o..

  11. moneybird
    • 2 years ago
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    Can you use floor and ceiling functions?

  12. asnaseer
    • 2 years ago
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    Unfortunately not...

  13. karatechopper
    • 2 years ago
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    do u have to use both of the 2s?

  14. asnaseer
    • 2 years ago
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    yes - the expression you end up with must have exactly two 2's within it

  15. karatechopper
    • 2 years ago
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    ok

  16. karatechopper
    • 2 years ago
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    haha thts what ijust typed in my calc

  17. karatechopper
    • 2 years ago
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    but its not 5

  18. asnaseer
    • 2 years ago
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    @moneybird - that works out to be 2 doesn't it?

  19. moneybird
    • 2 years ago
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    i though it needs to be equal to 2 my bad

  20. asnaseer
    • 2 years ago
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    :-)

  21. karatechopper
    • 2 years ago
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    haha yea

  22. karatechopper
    • 2 years ago
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    can there be more 2s?

  23. asnaseer
    • 2 years ago
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    trying to use floor and ceiling functions was a clever thought though @moneybird

  24. karatechopper
    • 2 years ago
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    what r floor and ceiling functions?

  25. asnaseer
    • 2 years ago
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    floor(1.5678)=1 ceiling(1.5678)=2

  26. asnaseer
    • 2 years ago
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    floor basically says "drop the decimal part"

  27. asnaseer
    • 2 years ago
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    ceiling says "round down to integer"

  28. asnaseer
    • 2 years ago
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    *up

  29. karatechopper
    • 2 years ago
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    o

  30. karatechopper
    • 2 years ago
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    can we more than just two 2s?

  31. asnaseer
    • 2 years ago
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    nope

  32. karatechopper
    • 2 years ago
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    hmm

  33. asnaseer
    • 2 years ago
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    both answers that I have are /fairly/ simple - so no magical complicated functions are needed

  34. karatechopper
    • 2 years ago
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    o..

  35. karatechopper
    • 2 years ago
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    is one of them with no trignometric functions in it?

  36. asnaseer
    • 2 years ago
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    correct

  37. karatechopper
    • 2 years ago
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    ok..so it has like somple ones tht a third grader is familiar with?

  38. asnaseer
    • 2 years ago
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    yup

  39. karatechopper
    • 2 years ago
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    like +,-,/,*

  40. asnaseer
    • 2 years ago
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    a bit more than just those...

  41. karatechopper
    • 2 years ago
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    factorial and sqrt?

  42. asnaseer
    • 2 years ago
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    it has sqrt and powers in it...

  43. karatechopper
    • 2 years ago
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    o..

  44. karatechopper
    • 2 years ago
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    if i use 2 as a power, does it still count as one of the 2s?

  45. asnaseer
    • 2 years ago
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    yes

  46. asnaseer
    • 2 years ago
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    but the purer answer uses only trig functions

  47. karatechopper
    • 2 years ago
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    argh..

  48. asnaseer
    • 2 years ago
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    who said this was going to be easy? ;-)

  49. karatechopper
    • 2 years ago
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    not me!

  50. asnaseer
    • 2 years ago
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    :-)

  51. karatechopper
    • 2 years ago
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    hmmm i need clues...

  52. asnaseer
    • 2 years ago
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    I gave you a clue already: it has sqrt and powers in it...

  53. karatechopper
    • 2 years ago
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    but u can have only two 2s! and if i say 2 to the power of 2 then my 2s r used!!!!

  54. asnaseer
    • 2 years ago
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    correct - so think of other ways of using sqrt and powers - and remember "power" does not mean it has to be to the power to "2". as long as the only digits that appear in the answer are two 2's - then the solution is valid.

  55. karatechopper
    • 2 years ago
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    so u mean they can be to the power of any number?

  56. asnaseer
    • 2 years ago
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    if I say anymore I will give the answer away :-)

  57. karatechopper
    • 2 years ago
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    hmmmmmmmm

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