11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-12

  • question_answer A bacteria gives birth to two new bacteria?s in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. Initially there is one newly born bacteria at time t = 0, then find the total number of live bacterias just after 10 seconds.

    A)  \[\frac{{{3}^{10}}}{2}\]                    

    B)  \[{{3}^{5}}({{3}^{5}}-1)\]

    C)  \[{{3}^{10}}-{{2}^{10}}\]   

    D)  \[{{3}^{10}}-{{2}^{5}}\]

    Correct Answer: B


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