Vampires biting puzzle

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A vampire enters a town and bites 2 person every night. The bitten 2 persons grows in to two big vampires and bites 4 persons the next night. These 4 vampires bites 6 people the next night and the 6 bites 8 and so on…….

How many vampires will be there on the 5th night?vampire puzzle

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SherlockHolmes Expert Asked on 17th June 2016 in Math Puzzles.
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  • 4 Answer(s)

    Answer-71( assuming the bitten people don’t bite a larger group every next night)

    Explanation:
                                                               No of people bitten

                                                        1st night       2nd night     3rd night     4th night      5th  night

    The first vampire         –              2                         2                        2                      2                 2                   – 10

    The Two new vampires
    bite 4 persons
    the next night                –              nil                       4                      4                     4                      4                -16
    The Four new vampires
    bite 6 persons
    the next night                –             nil                    nil                      6                          6                   6                 -18
    The Six new vampires
    bite 8 persons
    the next night                   –             nil                  nil                        nil                      8                    8              -16
    The Eight new vampires
    bite 10 persons
    the next night                  –             nil                  nil                      nil                        nil               10                -10
                                                                                                                                                                        Total            -70
    The answer is 71 including the first vampire

    Wedge Scholar Answered on 17th June 2016.
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    No of Vampires in First night                                      1                                                                                                                                          
    No of Persons Bitten in first Night                           2

    No of Vampires in Second Night                               1+2 =3
    No of Persons Bitten in Second Night                    2+4 =6

    No of vampires In Third Night                                    1+2+2+4 =9  
    No of Persons bitten in Third Night                         2+4+4+6 =16

    No of Vampires in Fourth Night                                 1+2+2+4+2+4+4+6=25  
    No of Persons bitten in Forth Night                         2+4+4+6+4+6+6+8=40

    No of Vampires in Fifth Night                                      1+2+2+4+2+4+4+6+2+4+4+6+4+6+6+8=65
    No of  persons bitten in Fifth night is                      2+4+4+6+4+6+6+8+4+6+6+8+6+8+8+10 = 96

    So the Number of Vampires in Fifth Night is 65

    dyj Expert Answered on 17th June 2016.
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    71

    Durgesh Gupta Curious Answered on 18th June 2016.
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    38

    Anish_Russel Starter Answered on 17th July 2016.
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