Cross-number puzzle

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
6
down vote

favorite
2












enter image description here



ACROSS:



A. a square



C. a multiple of N Across



E. (C Down) $times$ (I Across)



G. a square root of A Down



I. a square root of D Down



J. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



K. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



L. a divisor of H Down



N. a divisor of O Down



P. a divisor of I Down



R. a multiple of P Down



S. a square of Q Down



DOWN:



A. a square of G Across



B. a square



C. not a square



D. $1000-$(A Across)



F. a power



H. (L Across) $times$ (N Across)



I. a multiple of P Across



L. (P Down) $times$ (Q Down)



M. a power



O. a multiple of N Across



P. a divisor of R Across



Q. a square root of S Across



Edit:



No numbers begin with digit 0 and all numbers are different. So the correct answer should contain twelve distinct 2-digit numbers and twelve distinct 3-digit numbers.










share|improve this question























  • what do you mean by "a square of ___" or "a power"?
    – Alto
    3 hours ago











  • @Alto "a square of G Across" means "(G Across) $times$ (G Across)". "Power" means square, cube, etc.
    – P.-S. Park
    2 hours ago










  • Oh, then. "a power" could be any number! because in x^y, y can be anything. Yay! -edit Got that.
    – Alto
    2 hours ago











  • @Alto $y$ is an integer bigger than or equal to 2.
    – P.-S. Park
    2 hours ago










  • Nice puzzle! $(+1)$ $colordarkorangebigstar$ :D
    – user477343
    25 mins ago














up vote
6
down vote

favorite
2












enter image description here



ACROSS:



A. a square



C. a multiple of N Across



E. (C Down) $times$ (I Across)



G. a square root of A Down



I. a square root of D Down



J. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



K. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



L. a divisor of H Down



N. a divisor of O Down



P. a divisor of I Down



R. a multiple of P Down



S. a square of Q Down



DOWN:



A. a square of G Across



B. a square



C. not a square



D. $1000-$(A Across)



F. a power



H. (L Across) $times$ (N Across)



I. a multiple of P Across



L. (P Down) $times$ (Q Down)



M. a power



O. a multiple of N Across



P. a divisor of R Across



Q. a square root of S Across



Edit:



No numbers begin with digit 0 and all numbers are different. So the correct answer should contain twelve distinct 2-digit numbers and twelve distinct 3-digit numbers.










share|improve this question























  • what do you mean by "a square of ___" or "a power"?
    – Alto
    3 hours ago











  • @Alto "a square of G Across" means "(G Across) $times$ (G Across)". "Power" means square, cube, etc.
    – P.-S. Park
    2 hours ago










  • Oh, then. "a power" could be any number! because in x^y, y can be anything. Yay! -edit Got that.
    – Alto
    2 hours ago











  • @Alto $y$ is an integer bigger than or equal to 2.
    – P.-S. Park
    2 hours ago










  • Nice puzzle! $(+1)$ $colordarkorangebigstar$ :D
    – user477343
    25 mins ago












up vote
6
down vote

favorite
2









up vote
6
down vote

favorite
2






2





enter image description here



ACROSS:



A. a square



C. a multiple of N Across



E. (C Down) $times$ (I Across)



G. a square root of A Down



I. a square root of D Down



J. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



K. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



L. a divisor of H Down



N. a divisor of O Down



P. a divisor of I Down



R. a multiple of P Down



S. a square of Q Down



DOWN:



A. a square of G Across



B. a square



C. not a square



D. $1000-$(A Across)



F. a power



H. (L Across) $times$ (N Across)



I. a multiple of P Across



L. (P Down) $times$ (Q Down)



M. a power



O. a multiple of N Across



P. a divisor of R Across



Q. a square root of S Across



Edit:



No numbers begin with digit 0 and all numbers are different. So the correct answer should contain twelve distinct 2-digit numbers and twelve distinct 3-digit numbers.










share|improve this question















enter image description here



ACROSS:



A. a square



C. a multiple of N Across



E. (C Down) $times$ (I Across)



G. a square root of A Down



I. a square root of D Down



J. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



K. (J Across) $times$ (K Across) = (F Down) $times$ (M Down)



L. a divisor of H Down



N. a divisor of O Down



P. a divisor of I Down



R. a multiple of P Down



S. a square of Q Down



DOWN:



A. a square of G Across



B. a square



C. not a square



D. $1000-$(A Across)



F. a power



H. (L Across) $times$ (N Across)



I. a multiple of P Across



L. (P Down) $times$ (Q Down)



M. a power



O. a multiple of N Across



P. a divisor of R Across



Q. a square root of S Across



Edit:



No numbers begin with digit 0 and all numbers are different. So the correct answer should contain twelve distinct 2-digit numbers and twelve distinct 3-digit numbers.







mathematics crosswords






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 2 hours ago

























asked 3 hours ago









P.-S. Park

1,154629




1,154629











  • what do you mean by "a square of ___" or "a power"?
    – Alto
    3 hours ago











  • @Alto "a square of G Across" means "(G Across) $times$ (G Across)". "Power" means square, cube, etc.
    – P.-S. Park
    2 hours ago










  • Oh, then. "a power" could be any number! because in x^y, y can be anything. Yay! -edit Got that.
    – Alto
    2 hours ago











  • @Alto $y$ is an integer bigger than or equal to 2.
    – P.-S. Park
    2 hours ago










  • Nice puzzle! $(+1)$ $colordarkorangebigstar$ :D
    – user477343
    25 mins ago
















  • what do you mean by "a square of ___" or "a power"?
    – Alto
    3 hours ago











  • @Alto "a square of G Across" means "(G Across) $times$ (G Across)". "Power" means square, cube, etc.
    – P.-S. Park
    2 hours ago










  • Oh, then. "a power" could be any number! because in x^y, y can be anything. Yay! -edit Got that.
    – Alto
    2 hours ago











  • @Alto $y$ is an integer bigger than or equal to 2.
    – P.-S. Park
    2 hours ago










  • Nice puzzle! $(+1)$ $colordarkorangebigstar$ :D
    – user477343
    25 mins ago















what do you mean by "a square of ___" or "a power"?
– Alto
3 hours ago





what do you mean by "a square of ___" or "a power"?
– Alto
3 hours ago













@Alto "a square of G Across" means "(G Across) $times$ (G Across)". "Power" means square, cube, etc.
– P.-S. Park
2 hours ago




@Alto "a square of G Across" means "(G Across) $times$ (G Across)". "Power" means square, cube, etc.
– P.-S. Park
2 hours ago












Oh, then. "a power" could be any number! because in x^y, y can be anything. Yay! -edit Got that.
– Alto
2 hours ago





Oh, then. "a power" could be any number! because in x^y, y can be anything. Yay! -edit Got that.
– Alto
2 hours ago













@Alto $y$ is an integer bigger than or equal to 2.
– P.-S. Park
2 hours ago




@Alto $y$ is an integer bigger than or equal to 2.
– P.-S. Park
2 hours ago












Nice puzzle! $(+1)$ $colordarkorangebigstar$ :D
– user477343
25 mins ago




Nice puzzle! $(+1)$ $colordarkorangebigstar$ :D
– user477343
25 mins ago










2 Answers
2






active

oldest

votes

















up vote
3
down vote













Technically, I think I have a cheaterpants solution to this:




enter image description here




I will definitely try to find a better answer though.






share|improve this answer
















  • 1




    NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
    – Alto
    3 hours ago










  • Noooooo! 00 is not allowed.
    – P.-S. Park
    2 hours ago










  • But, I wonder how he can find (almost) all numbers so fast.
    – P.-S. Park
    2 hours ago










  • @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
    – Kevin L
    1 hour ago











  • @KevinL Haha. I agree. :-)
    – P.-S. Park
    1 hour ago

















up vote
2
down vote













I found an answer:




I really use a whole lot of logic to solve this. It was mostly a couple educated guess and a whole lot of trial and error.



324 376
6 988 7
19 1 26
48 54
20 3 47
9 122 9
781 729






share|improve this answer






















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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    3
    down vote













    Technically, I think I have a cheaterpants solution to this:




    enter image description here




    I will definitely try to find a better answer though.






    share|improve this answer
















    • 1




      NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
      – Alto
      3 hours ago










    • Noooooo! 00 is not allowed.
      – P.-S. Park
      2 hours ago










    • But, I wonder how he can find (almost) all numbers so fast.
      – P.-S. Park
      2 hours ago










    • @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
      – Kevin L
      1 hour ago











    • @KevinL Haha. I agree. :-)
      – P.-S. Park
      1 hour ago














    up vote
    3
    down vote













    Technically, I think I have a cheaterpants solution to this:




    enter image description here




    I will definitely try to find a better answer though.






    share|improve this answer
















    • 1




      NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
      – Alto
      3 hours ago










    • Noooooo! 00 is not allowed.
      – P.-S. Park
      2 hours ago










    • But, I wonder how he can find (almost) all numbers so fast.
      – P.-S. Park
      2 hours ago










    • @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
      – Kevin L
      1 hour ago











    • @KevinL Haha. I agree. :-)
      – P.-S. Park
      1 hour ago












    up vote
    3
    down vote










    up vote
    3
    down vote









    Technically, I think I have a cheaterpants solution to this:




    enter image description here




    I will definitely try to find a better answer though.






    share|improve this answer












    Technically, I think I have a cheaterpants solution to this:




    enter image description here




    I will definitely try to find a better answer though.







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered 3 hours ago









    El-Guest

    12.6k2662




    12.6k2662







    • 1




      NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
      – Alto
      3 hours ago










    • Noooooo! 00 is not allowed.
      – P.-S. Park
      2 hours ago










    • But, I wonder how he can find (almost) all numbers so fast.
      – P.-S. Park
      2 hours ago










    • @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
      – Kevin L
      1 hour ago











    • @KevinL Haha. I agree. :-)
      – P.-S. Park
      1 hour ago












    • 1




      NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
      – Alto
      3 hours ago










    • Noooooo! 00 is not allowed.
      – P.-S. Park
      2 hours ago










    • But, I wonder how he can find (almost) all numbers so fast.
      – P.-S. Park
      2 hours ago










    • @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
      – Kevin L
      1 hour ago











    • @KevinL Haha. I agree. :-)
      – P.-S. Park
      1 hour ago







    1




    1




    NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
    – Alto
    3 hours ago




    NOOOOOO!!! I have to solve this! Fast!!! [jk, but you're so fast! how do you do it?] Good job, nice. Also, there's no rule against it, so you're good to go.
    – Alto
    3 hours ago












    Noooooo! 00 is not allowed.
    – P.-S. Park
    2 hours ago




    Noooooo! 00 is not allowed.
    – P.-S. Park
    2 hours ago












    But, I wonder how he can find (almost) all numbers so fast.
    – P.-S. Park
    2 hours ago




    But, I wonder how he can find (almost) all numbers so fast.
    – P.-S. Park
    2 hours ago












    @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
    – Kevin L
    1 hour ago





    @P.-S.Park Well when someone has more than 12K reputation, it's not really a surprise that he's a master :D
    – Kevin L
    1 hour ago













    @KevinL Haha. I agree. :-)
    – P.-S. Park
    1 hour ago




    @KevinL Haha. I agree. :-)
    – P.-S. Park
    1 hour ago










    up vote
    2
    down vote













    I found an answer:




    I really use a whole lot of logic to solve this. It was mostly a couple educated guess and a whole lot of trial and error.



    324 376
    6 988 7
    19 1 26
    48 54
    20 3 47
    9 122 9
    781 729






    share|improve this answer


























      up vote
      2
      down vote













      I found an answer:




      I really use a whole lot of logic to solve this. It was mostly a couple educated guess and a whole lot of trial and error.



      324 376
      6 988 7
      19 1 26
      48 54
      20 3 47
      9 122 9
      781 729






      share|improve this answer
























        up vote
        2
        down vote










        up vote
        2
        down vote









        I found an answer:




        I really use a whole lot of logic to solve this. It was mostly a couple educated guess and a whole lot of trial and error.



        324 376
        6 988 7
        19 1 26
        48 54
        20 3 47
        9 122 9
        781 729






        share|improve this answer














        I found an answer:




        I really use a whole lot of logic to solve this. It was mostly a couple educated guess and a whole lot of trial and error.



        324 376
        6 988 7
        19 1 26
        48 54
        20 3 47
        9 122 9
        781 729







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 1 hour ago

























        answered 1 hour ago









        Bennett Bernardoni

        2,437517




        2,437517



























             

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