A hundred people participated in a flash mob. First, they formed a circle. MJ marked as number one had a torch. He pointed the tor

Question

A hundred people participated in a flash mob. First, they formed a circle. MJ marked as number one had a torch. He pointed the torch at the person next to him, Ravi, and passed the torch to the person marked as third. Meanwhile, Ravi walked away from the circle. The passing of the torch and the walking away from the circle continued till only one dancer remained. What’s the number of the last dancer?​

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Eloise 2 years 2021-07-15T13:55:56+00:00 1 Answers 0 views 0

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    2021-07-15T13:57:49+00:00

    Given : A hundred people participated in a flash mob. First, they formed a circle. MJ marked as number one had a torch. He pointed the torch at the person next to him, Ravi, and passed the torch to the person marked as third. Meanwhile, Ravi walked away from the circle. The passing of the torch and the walking away from the circle continued till only one dancer remained.


    To Find :   number of the last dancer ​

    a) 88

    b) 78

    c) 85

    d) 73

    Solution:

    cycle 1

    walk away  2  4    6   8  10  _____________  98  100

    remaining  1   3  5  7    9  _________ 97  99

    Cycle 2 :

    walk away     3   7    11   15  _________ 95  , 99

    remaining   1    5   9   _______  93 , 97

    Cycle  3

    walk away       5   13    21   _______  93

    Remaining   1     9   _____  89  ,  97

    Cycle 4

    walk away    1        17     33     49    65   81   97

    remaining       9     25   41        57  73    89

    Cycle 5

    walk away              25       57      89

     Remaining     9         41        73

    Cycle 6

    walk away              41

    Remaining       9           73

    Cycle  7  

    Walk away           9

    Remaining 73

    Hence dancer number 73 is remaining

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