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CMC Medical CMC-Medical VELLORE Solved Paper-2013

  • question_answer
    The average of seven consecutive numbers is 20. The largest of these numbers is

    A)  21                         

    B)  22     

    C)  23                         

    D)  24

    Correct Answer: C

    Solution :

                    Let the numbers be \[x,\] \[x+1,\] \[x+2,\] \[x+3,\,\] \[x+4,\] \[x+4,\]and \[x+6.\] Then \[\Rightarrow \frac{\begin{align}   & x+\left( x+1 \right)+\left( x+2 \right)\left( x+3 \right) \\  & \,\,\,+\left( x+4 \right)+\left( x+5 \right)+\left( x+6 \right) \\ \end{align}}{7}=20\]                 \[7x+21=140\Rightarrow 7x=119\] \[\therefore \]Largest number\[=x+6=23\]


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