Pattern Recognition: $7 star 8$ =?












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The following pattern was given to me by one of my friends:

If $$quad 5 star 5 = 10$$ ,
$$quad 6 star 6=18$$
$$quad 7 star 7=36$$

then $$quad 7 star 8 = ?$$
a) $54 quad$ b) $51 quad$ c) $30$




My Thoughts:

We Observe:
$$5 * 5 = 25 to 2*5 =10$$
similarly, $$6 * 6 = 36 to 3*6 =18$$
similarly, $$7 * 7 = 49 to 4*9 =36$$




$$implies 7 * 8 = 56 to 5*6 =30 implies text{option } mathbf{(c)}$$




But my friend has told its answer as $mathbf{a)54}$;

so, can anyone explain the relevant logic ...






logical-deduction pattern explanation







share|improve this question











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    0












    $begingroup$



    The following pattern was given to me by one of my friends:

    If $$quad 5 star 5 = 10$$ ,
    $$quad 6 star 6=18$$
    $$quad 7 star 7=36$$

    then $$quad 7 star 8 = ?$$
    a) $54 quad$ b) $51 quad$ c) $30$




    My Thoughts:

    We Observe:
    $$5 * 5 = 25 to 2*5 =10$$
    similarly, $$6 * 6 = 36 to 3*6 =18$$
    similarly, $$7 * 7 = 49 to 4*9 =36$$




    $$implies 7 * 8 = 56 to 5*6 =30 implies text{option } mathbf{(c)}$$




    But my friend has told its answer as $mathbf{a)54}$;

    so, can anyone explain the relevant logic ...






    logical-deduction pattern explanation







    share|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$



      The following pattern was given to me by one of my friends:

      If $$quad 5 star 5 = 10$$ ,
      $$quad 6 star 6=18$$
      $$quad 7 star 7=36$$

      then $$quad 7 star 8 = ?$$
      a) $54 quad$ b) $51 quad$ c) $30$




      My Thoughts:

      We Observe:
      $$5 * 5 = 25 to 2*5 =10$$
      similarly, $$6 * 6 = 36 to 3*6 =18$$
      similarly, $$7 * 7 = 49 to 4*9 =36$$




      $$implies 7 * 8 = 56 to 5*6 =30 implies text{option } mathbf{(c)}$$




      But my friend has told its answer as $mathbf{a)54}$;

      so, can anyone explain the relevant logic ...






      logical-deduction pattern explanation







      share|improve this question











      $endgroup$





      The following pattern was given to me by one of my friends:

      If $$quad 5 star 5 = 10$$ ,
      $$quad 6 star 6=18$$
      $$quad 7 star 7=36$$

      then $$quad 7 star 8 = ?$$
      a) $54 quad$ b) $51 quad$ c) $30$




      My Thoughts:

      We Observe:
      $$5 * 5 = 25 to 2*5 =10$$
      similarly, $$6 * 6 = 36 to 3*6 =18$$
      similarly, $$7 * 7 = 49 to 4*9 =36$$




      $$implies 7 * 8 = 56 to 5*6 =30 implies text{option } mathbf{(c)}$$




      But my friend has told its answer as $mathbf{a)54}$;

      so, can anyone explain the relevant logic ...






      logical-deduction pattern explanation




      logical-deduction pattern explanation






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 10 mins ago









      Omega Krypton

      5,4742849




      5,4742849










      asked 12 mins ago









      SureshSuresh

      1966




      1966






















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