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What number should replace the question mark? Explain why.


                              10051005
                               51005
                              1001005
                            10010010055
                              10055100
                              10051005
                              1005100
                            10051005100  
                                 ?
                              10051005
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1 Answer 1

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The number that should replace the question mark is:

55100100100

Because:

Each number is composed of some sequence of 100s and 5s. If you replace these with their Roman numeral equivalents, C and V, you get:

          10051005         CVCV
           51005           VCV
          1001005          CCV
        10010010055        CCCVV
          10055100         CVVC
          10051005         CVCV
          1005100          CVC
        10051005100        CVCVC
             ?              ?
          10051005         CVCV

About four lines down...

I noticed that while C and V strongly suggest consonant and vowel, one of the only words that fits the pattern CCCVV is THREE. So this is a list of the names of digits (a number sequence), with each letter replaced with C or V, and then the C or V converted from roman numerals to arabic numerals (in disguise).

          10051005         CVCV    zero
           51005           VCV     one
          1001005          CCV     two
        10010010055        CCCVV   three
          10055100         CVVC    four
          10051005         CVCV    five
          1005100          CVC     six
        10051005100        CVCVC   seven
        55100100100        VVCCC   eight
          10051005         CVCV    nine

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2
  • $\begingroup$ Yup that's correct. Well done! $\endgroup$ Dec 2, 2023 at 12:48
  • 1
    $\begingroup$ It looked like a cipher puzzle at first! $\endgroup$ Dec 2, 2023 at 14:35

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