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Find the wrong number in the given series: 6, 12, 21, 36, 56, 81?


Guess the Function for Scatterplot of Number Theoretic FunctionOh no! Yet another number series… - Find the pattern in the two examples and provide an extensionWhen setting number-sequence puzzles, is there any accepted method to prevent arbitrary solutions?Hidden Number SequenceWhat is a RAP Number™?What is a Frightful Number™?I need help with this number sequenceWhat is a Well-toned Number™?Which number replaces the question mark in the circle?speciality of the binary sequence $underline100101100110100101101001$






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








1












$begingroup$


The following problem was given to me by one of my friend:




Find the wrong number in the given series:
$$6,, 12,, 21,, 36,, 56,, 81 $$
?

A) $21,$ B) $12,$ C) $36,$ D) $56$




and told me that its answer is B) $12$



but according to me answer should be D) $56$ ; as all the other numbers in the series is exactly divisible by $3$



So, is my answer right ? or there is more reasonable approach for option B) $12$



Any hints/suggestions or help please...










share|improve this question











$endgroup$


















    1












    $begingroup$


    The following problem was given to me by one of my friend:




    Find the wrong number in the given series:
    $$6,, 12,, 21,, 36,, 56,, 81 $$
    ?

    A) $21,$ B) $12,$ C) $36,$ D) $56$




    and told me that its answer is B) $12$



    but according to me answer should be D) $56$ ; as all the other numbers in the series is exactly divisible by $3$



    So, is my answer right ? or there is more reasonable approach for option B) $12$



    Any hints/suggestions or help please...










    share|improve this question











    $endgroup$














      1












      1








      1





      $begingroup$


      The following problem was given to me by one of my friend:




      Find the wrong number in the given series:
      $$6,, 12,, 21,, 36,, 56,, 81 $$
      ?

      A) $21,$ B) $12,$ C) $36,$ D) $56$




      and told me that its answer is B) $12$



      but according to me answer should be D) $56$ ; as all the other numbers in the series is exactly divisible by $3$



      So, is my answer right ? or there is more reasonable approach for option B) $12$



      Any hints/suggestions or help please...










      share|improve this question











      $endgroup$




      The following problem was given to me by one of my friend:




      Find the wrong number in the given series:
      $$6,, 12,, 21,, 36,, 56,, 81 $$
      ?

      A) $21,$ B) $12,$ C) $36,$ D) $56$




      and told me that its answer is B) $12$



      but according to me answer should be D) $56$ ; as all the other numbers in the series is exactly divisible by $3$



      So, is my answer right ? or there is more reasonable approach for option B) $12$



      Any hints/suggestions or help please...







      pattern number-sequence






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 13 hours ago









      JonMark Perry

      23.9k6 gold badges46 silver badges106 bronze badges




      23.9k6 gold badges46 silver badges106 bronze badges










      asked 13 hours ago









      SureshSuresh

      2157 bronze badges




      2157 bronze badges




















          2 Answers
          2






          active

          oldest

          votes


















          5












          $begingroup$

          The series should be:




          $6, 11, 21, 36, 56, 81$




          Because:




          The differences will be $5, 10, 15, 20, 25$.




          So the answer is:




          $B)~12$




          Note that:




          This is given as a series, not a set, therefore it's wise to treat it as it should be.







          share|improve this answer









          $endgroup$




















            2












            $begingroup$

            My guess is:




            A reasonable approach, following your solution is that all those numbers minus $1$:
            $5$, $20$, $35$, $55$, $80$

            are divisible by $5$.
            $12 - 1 = 11$, isn't.




            Nevertheless, I don't know where this puzzle comes from but that won't be surprising you are right and your friend may have made a mistake... Unless PSE community finds a simplier solution :)






            share|improve this answer











            $endgroup$








            • 1




              $begingroup$
              What happened to Occam's Razor?
              $endgroup$
              – M Oehm
              12 hours ago










            • $begingroup$
              @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
              $endgroup$
              – JKHA
              12 hours ago














            Your Answer








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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            5












            $begingroup$

            The series should be:




            $6, 11, 21, 36, 56, 81$




            Because:




            The differences will be $5, 10, 15, 20, 25$.




            So the answer is:




            $B)~12$




            Note that:




            This is given as a series, not a set, therefore it's wise to treat it as it should be.







            share|improve this answer









            $endgroup$

















              5












              $begingroup$

              The series should be:




              $6, 11, 21, 36, 56, 81$




              Because:




              The differences will be $5, 10, 15, 20, 25$.




              So the answer is:




              $B)~12$




              Note that:




              This is given as a series, not a set, therefore it's wise to treat it as it should be.







              share|improve this answer









              $endgroup$















                5












                5








                5





                $begingroup$

                The series should be:




                $6, 11, 21, 36, 56, 81$




                Because:




                The differences will be $5, 10, 15, 20, 25$.




                So the answer is:




                $B)~12$




                Note that:




                This is given as a series, not a set, therefore it's wise to treat it as it should be.







                share|improve this answer









                $endgroup$



                The series should be:




                $6, 11, 21, 36, 56, 81$




                Because:




                The differences will be $5, 10, 15, 20, 25$.




                So the answer is:




                $B)~12$




                Note that:




                This is given as a series, not a set, therefore it's wise to treat it as it should be.








                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 11 hours ago









                athinathin

                11.9k2 gold badges39 silver badges97 bronze badges




                11.9k2 gold badges39 silver badges97 bronze badges























                    2












                    $begingroup$

                    My guess is:




                    A reasonable approach, following your solution is that all those numbers minus $1$:
                    $5$, $20$, $35$, $55$, $80$

                    are divisible by $5$.
                    $12 - 1 = 11$, isn't.




                    Nevertheless, I don't know where this puzzle comes from but that won't be surprising you are right and your friend may have made a mistake... Unless PSE community finds a simplier solution :)






                    share|improve this answer











                    $endgroup$








                    • 1




                      $begingroup$
                      What happened to Occam's Razor?
                      $endgroup$
                      – M Oehm
                      12 hours ago










                    • $begingroup$
                      @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
                      $endgroup$
                      – JKHA
                      12 hours ago
















                    2












                    $begingroup$

                    My guess is:




                    A reasonable approach, following your solution is that all those numbers minus $1$:
                    $5$, $20$, $35$, $55$, $80$

                    are divisible by $5$.
                    $12 - 1 = 11$, isn't.




                    Nevertheless, I don't know where this puzzle comes from but that won't be surprising you are right and your friend may have made a mistake... Unless PSE community finds a simplier solution :)






                    share|improve this answer











                    $endgroup$








                    • 1




                      $begingroup$
                      What happened to Occam's Razor?
                      $endgroup$
                      – M Oehm
                      12 hours ago










                    • $begingroup$
                      @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
                      $endgroup$
                      – JKHA
                      12 hours ago














                    2












                    2








                    2





                    $begingroup$

                    My guess is:




                    A reasonable approach, following your solution is that all those numbers minus $1$:
                    $5$, $20$, $35$, $55$, $80$

                    are divisible by $5$.
                    $12 - 1 = 11$, isn't.




                    Nevertheless, I don't know where this puzzle comes from but that won't be surprising you are right and your friend may have made a mistake... Unless PSE community finds a simplier solution :)






                    share|improve this answer











                    $endgroup$



                    My guess is:




                    A reasonable approach, following your solution is that all those numbers minus $1$:
                    $5$, $20$, $35$, $55$, $80$

                    are divisible by $5$.
                    $12 - 1 = 11$, isn't.




                    Nevertheless, I don't know where this puzzle comes from but that won't be surprising you are right and your friend may have made a mistake... Unless PSE community finds a simplier solution :)







                    share|improve this answer














                    share|improve this answer



                    share|improve this answer








                    edited 12 hours ago

























                    answered 12 hours ago









                    JKHAJKHA

                    7453 silver badges13 bronze badges




                    7453 silver badges13 bronze badges







                    • 1




                      $begingroup$
                      What happened to Occam's Razor?
                      $endgroup$
                      – M Oehm
                      12 hours ago










                    • $begingroup$
                      @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
                      $endgroup$
                      – JKHA
                      12 hours ago













                    • 1




                      $begingroup$
                      What happened to Occam's Razor?
                      $endgroup$
                      – M Oehm
                      12 hours ago










                    • $begingroup$
                      @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
                      $endgroup$
                      – JKHA
                      12 hours ago








                    1




                    1




                    $begingroup$
                    What happened to Occam's Razor?
                    $endgroup$
                    – M Oehm
                    12 hours ago




                    $begingroup$
                    What happened to Occam's Razor?
                    $endgroup$
                    – M Oehm
                    12 hours ago












                    $begingroup$
                    @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
                    $endgroup$
                    – JKHA
                    12 hours ago





                    $begingroup$
                    @MOehm haha, good point, that's the simpliest I've found for now, but I'm still searching :) Editing my question to take it in account ;)
                    $endgroup$
                    – JKHA
                    12 hours ago


















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