1. Forum
  2. USENET
  3. rec.puzzles

  • Ten Count (a logic puzzle)

    From Carl G.@carlgnews@microprizes.com to rec.puzzles on Tue Jan 6 08:52:09 2026
    From Newsgroup: rec.puzzles

    Figure out the ten expressions that meet these requirements:

    1. The ten expressions equal to 1 to 10.
    2. Each expression consists of a digit (0 to 9), an operand, and a
    second digit.
    3. Each digit is used exactly twice.
    4. Exactly one operand is multiply (*).
    5. The number of add operands (+) is the same as the number of divide
    operands (/).
    6. The number of subtract operands (-) is not equal to the number of
    divide operands (/).
    7. The expression for 7 does not include the digit 7.
    --
    Carl G.

    --
    This email has been checked for viruses by AVG antivirus software.
    www.avg.com
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Ammammata@ammammata@tiscali.it to rec.puzzles on Wed Jan 7 08:43:31 2026
    From Newsgroup: rec.puzzles

    Carl G. formulated the question :
    Figure out the ten expressions that meet these requirements

    chatgpt (standard/free/base) failed on its first try :-) https://i.imgur.com/MvzpyBj.png
    --
    /-\ /\/\ /\/\ /-\ /\/\ /\/\ /-\ T /-\
    -=- -=- -=- -=- -=- -=- -=- -=- - -=-
    ........... [ al lavoro ] ...........
    -.-. .... . ... .. ...- .. -. -.-. .- --- -.-. .... . ... .. .--. . .-.
    -.. .- ..-. --- .-. --.. .- - --- .-. --- . .--- ..- ...- . -- . .-.
    -.. .-
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Ilan Mayer@user4643@newsgrouper.org.invalid to rec.puzzles on Wed Jan 7 17:06:21 2026
    From Newsgroup: rec.puzzles


    "Carl G." <carlgnews@microprizes.com> posted:

    Figure out the ten expressions that meet these requirements:

    1. The ten expressions equal to 1 to 10.
    2. Each expression consists of a digit (0 to 9), an operand, and a
    second digit.
    3. Each digit is used exactly twice.
    4. Exactly one operand is multiply (*).
    5. The number of add operands (+) is the same as the number of divide operands (/).
    6. The number of subtract operands (-) is not equal to the number of
    divide operands (/).
    7. The expression for 7 does not include the digit 7.




    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER
    SPOILER

    Computer program finds 9 solutions:

    4 / 4 = 1
    6 / 3 = 2
    8 - 5 = 3
    7 - 3 = 4
    7 - 2 = 5
    6 - 0 = 6
    2 + 5 = 7
    8 - 0 = 8
    1 * 9 = 9
    1 + 9 = 10

    4 / 4 = 1
    7 - 5 = 2
    6 / 2 = 3
    7 - 3 = 4
    8 - 3 = 5
    6 - 0 = 6
    2 + 5 = 7
    8 - 0 = 8
    1 * 9 = 9
    1 + 9 = 10

    5 / 5 = 1
    8 / 4 = 2
    6 - 3 = 3
    7 - 3 = 4
    7 - 2 = 5
    6 - 0 = 6
    8 - 1 = 7
    2 * 4 = 8
    0 + 9 = 9
    1 + 9 = 10

    7 / 7 = 1
    6 / 3 = 2
    8 - 5 = 3
    8 / 2 = 4
    5 / 1 = 5
    0 + 6 = 6
    3 + 4 = 7
    2 * 4 = 8
    0 + 9 = 9
    1 + 9 = 10

    7 / 7 = 1
    6 / 3 = 2
    8 - 5 = 3
    8 / 2 = 4
    0 + 5 = 5
    6 / 1 = 6
    3 + 4 = 7
    2 * 4 = 8
    0 + 9 = 9
    1 + 9 = 10

    7 / 7 = 1
    8 / 4 = 2
    6 / 2 = 3
    8 / 2 = 4
    5 - 0 = 5
    0 + 6 = 6
    3 + 4 = 7
    3 + 5 = 8
    1 * 9 = 9
    1 + 9 = 10

    7 / 7 = 1
    8 / 4 = 2
    6 / 2 = 3
    8 / 2 = 4
    5 - 0 = 5
    1 * 6 = 6
    3 + 4 = 7
    3 + 5 = 8
    0 + 9 = 9
    1 + 9 = 10

    7 / 7 = 1
    8 / 4 = 2
    6 / 2 = 3
    8 / 2 = 4
    0 + 5 = 5
    6 - 0 = 6
    3 + 4 = 7
    3 + 5 = 8
    1 * 9 = 9
    1 + 9 = 10

    7 / 7 = 1
    8 / 4 = 2
    6 / 2 = 3
    8 / 2 = 4
    1 * 5 = 5
    6 - 0 = 6
    3 + 4 = 7
    3 + 5 = 8
    0 + 9 = 9
    1 + 9 = 10

    Please reply to ilanlmayer at gmail dot com

    __/\__
    \ /
    __/\\ //\__ Ilan Mayer
    \ /
    /__ __\ Toronto, Canada
    /__ __\
    ||
    --- Synchronet 3.21a-Linux NewsLink 1.2