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  • 12 digit numbers

    Sagar07

    Sagar07

    @sagar07-LecI1i
    Updated: Dec 26, 2011
    Views: 4.4K
    What characteristic do these three 12-digit numbers share with each other, but with no other 12-digit number?

    A.100307124369
    B.111824028801
    C.433800063225
    0
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Replies

  • Reya

    Member • Dec 26, 2011

    If you sum the digits,you will get the same answer "36" which is a square number for all the three options.

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  • Sagar07

    Member • Dec 26, 2011

    @ reya: but there are number of 12 digit numbers whose sum of digits is 36. U are thinking in right direction, but your answer is not complete.
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  • harshajd

    Member • Jan 4, 2012

    100307124369 >> 1+0+0+3+0+7+1+2+4+3+6+9=36=6^2
    111824028801 >> 1+1+1+8+2+4+0+2+8+8+0+1=36=6^2
    433800063225 >> 4+3+3+8+0+0+0+6+3+2+2+5=36=6^2

    100307124369 >> 10+03+07+12+43+69=144=12^2
    111824028801 >> 11+18+24+02+88+01=144=12^2
    433800063225 >> 43+38+00+06+32+25=144=12^2

    100307124369 >> 100+307+124+369 = 900 = 30^2
    111824028801 >> 111+824+028+801 = 1764 = 39^2
    433800063225 >> 433+800+063+225 = 1521 = 42^2

    100307124369 >> 1003+0712+4369 = 6084 = 78^2
    111824028801 >> 1118+2402+8801 = 12321 = 111^2
    433800063225 >> 4338+0006+3225 = 7569 = 87^2

    100307124369 >> 100307+124369 = 224676 = 474^2
    111824028801 >> 111824+028801 = 140625 = 375^2
    433800063225 >> 433800+063225 = 497025 = 705^2

    No Other 12digit number has this kind of property
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  • Sagar07

    Member • Jan 8, 2012

    Correct harshjd, well done......
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  • harshajd

    Member • Jan 8, 2012

    Err.. Thats harshajd 😀
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  • Sagar07

    Member • Jan 14, 2012

    Ooops.... Sorry for the mistake....
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