Pattern recognition problem: if $2 star 8 star 8 = 161642dots$ then M=?












0












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The following sequence was given to me:




$$color{red}{2 star 8 star 8 = 161642}$$
$$color{blue}{4 star 9 star 7 = 362843}$$
$$color{red}{7 star 5 star 9 = 356344}$$
$$color{blue}{9 star 6 star 8 = 547245}$$
$$color{red}{5 star 7 star 9 = 354546}$$
$$color{blue}{3 star 9 star 9 = 272748}$$
$$color{red}{4 star 8 star 9 = text{M}}$$
$color{red}{text{M}}$ = ?




My Thoughts:



The first two digits of R.H.S can be found by $a.b$ , where L.H.S = $a star b star c$ ,

i.e, For 1st relation: $2.8=16 = 1^{st}$ two digits of $color{green}{16}1642$



Similarly,the second two digits of R.H.S can be found by $a.c$ , where L.H.S = $a star b star c$ ,

i.e, For 2nd relation: $4.7=28 = 2^{nd} $ two digits of $36 color{green}{28}43$



$$implies M= 3236 , _ , _$$



How do I find the $3^{rd}$ two digits of R.H.S?










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    0












    $begingroup$


    The following sequence was given to me:




    $$color{red}{2 star 8 star 8 = 161642}$$
    $$color{blue}{4 star 9 star 7 = 362843}$$
    $$color{red}{7 star 5 star 9 = 356344}$$
    $$color{blue}{9 star 6 star 8 = 547245}$$
    $$color{red}{5 star 7 star 9 = 354546}$$
    $$color{blue}{3 star 9 star 9 = 272748}$$
    $$color{red}{4 star 8 star 9 = text{M}}$$
    $color{red}{text{M}}$ = ?




    My Thoughts:



    The first two digits of R.H.S can be found by $a.b$ , where L.H.S = $a star b star c$ ,

    i.e, For 1st relation: $2.8=16 = 1^{st}$ two digits of $color{green}{16}1642$



    Similarly,the second two digits of R.H.S can be found by $a.c$ , where L.H.S = $a star b star c$ ,

    i.e, For 2nd relation: $4.7=28 = 2^{nd} $ two digits of $36 color{green}{28}43$



    $$implies M= 3236 , _ , _$$



    How do I find the $3^{rd}$ two digits of R.H.S?










    share|improve this question









    New contributor




    Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$















      0












      0








      0





      $begingroup$


      The following sequence was given to me:




      $$color{red}{2 star 8 star 8 = 161642}$$
      $$color{blue}{4 star 9 star 7 = 362843}$$
      $$color{red}{7 star 5 star 9 = 356344}$$
      $$color{blue}{9 star 6 star 8 = 547245}$$
      $$color{red}{5 star 7 star 9 = 354546}$$
      $$color{blue}{3 star 9 star 9 = 272748}$$
      $$color{red}{4 star 8 star 9 = text{M}}$$
      $color{red}{text{M}}$ = ?




      My Thoughts:



      The first two digits of R.H.S can be found by $a.b$ , where L.H.S = $a star b star c$ ,

      i.e, For 1st relation: $2.8=16 = 1^{st}$ two digits of $color{green}{16}1642$



      Similarly,the second two digits of R.H.S can be found by $a.c$ , where L.H.S = $a star b star c$ ,

      i.e, For 2nd relation: $4.7=28 = 2^{nd} $ two digits of $36 color{green}{28}43$



      $$implies M= 3236 , _ , _$$



      How do I find the $3^{rd}$ two digits of R.H.S?










      share|improve this question









      New contributor




      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      The following sequence was given to me:




      $$color{red}{2 star 8 star 8 = 161642}$$
      $$color{blue}{4 star 9 star 7 = 362843}$$
      $$color{red}{7 star 5 star 9 = 356344}$$
      $$color{blue}{9 star 6 star 8 = 547245}$$
      $$color{red}{5 star 7 star 9 = 354546}$$
      $$color{blue}{3 star 9 star 9 = 272748}$$
      $$color{red}{4 star 8 star 9 = text{M}}$$
      $color{red}{text{M}}$ = ?




      My Thoughts:



      The first two digits of R.H.S can be found by $a.b$ , where L.H.S = $a star b star c$ ,

      i.e, For 1st relation: $2.8=16 = 1^{st}$ two digits of $color{green}{16}1642$



      Similarly,the second two digits of R.H.S can be found by $a.c$ , where L.H.S = $a star b star c$ ,

      i.e, For 2nd relation: $4.7=28 = 2^{nd} $ two digits of $36 color{green}{28}43$



      $$implies M= 3236 , _ , _$$



      How do I find the $3^{rd}$ two digits of R.H.S?







      logical-deduction pattern






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      edited 2 mins ago









      JonMark Perry

      19.8k64095




      19.8k64095






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      asked 34 mins ago









      SureshSuresh

      1134




      1134




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      New contributor





      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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          $begingroup$

          M=




          $323647$




          because




          the first four digits are as you gave. The fifth digit is $4$. The final digit is $1$+the lowest digit in the opening local sequence that hasn't already been used by the previous entries in the global sequence. In this case $2+1=3,3+1=4$ and $4+1=5$ have already been used previously, leaving $6+1=7$ as the last digit.






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            1 Answer
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            1






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            active

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            0












            $begingroup$

            M=




            $323647$




            because




            the first four digits are as you gave. The fifth digit is $4$. The final digit is $1$+the lowest digit in the opening local sequence that hasn't already been used by the previous entries in the global sequence. In this case $2+1=3,3+1=4$ and $4+1=5$ have already been used previously, leaving $6+1=7$ as the last digit.






            share









            $endgroup$


















              0












              $begingroup$

              M=




              $323647$




              because




              the first four digits are as you gave. The fifth digit is $4$. The final digit is $1$+the lowest digit in the opening local sequence that hasn't already been used by the previous entries in the global sequence. In this case $2+1=3,3+1=4$ and $4+1=5$ have already been used previously, leaving $6+1=7$ as the last digit.






              share









              $endgroup$
















                0












                0








                0





                $begingroup$

                M=




                $323647$




                because




                the first four digits are as you gave. The fifth digit is $4$. The final digit is $1$+the lowest digit in the opening local sequence that hasn't already been used by the previous entries in the global sequence. In this case $2+1=3,3+1=4$ and $4+1=5$ have already been used previously, leaving $6+1=7$ as the last digit.






                share









                $endgroup$



                M=




                $323647$




                because




                the first four digits are as you gave. The fifth digit is $4$. The final digit is $1$+the lowest digit in the opening local sequence that hasn't already been used by the previous entries in the global sequence. In this case $2+1=3,3+1=4$ and $4+1=5$ have already been used previously, leaving $6+1=7$ as the last digit.







                share











                share


                share










                answered 6 mins ago









                JonMark PerryJonMark Perry

                19.8k64095




                19.8k64095






















                    Suresh is a new contributor. Be nice, and check out our Code of Conduct.










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