CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    The average of the four-digit numbers that can be formed using each of the digits 3, 5, 7 and 9 exactly once in each number is

    A)  4444                     

    B)         5555

    C)  6666                     

    D)         7777

    E)  8888

    Correct Answer: C

    Solution :

    The sum of all the four digit numbers using the digits 3, 5, 7 and 9 \[=(3+5+7+9)\times (4-1)!\left( \frac{{{10}^{4}}-1}{10-1} \right)\] \[=24\times 6\times \left( \frac{{{10}^{4}}-1}{10-1} \right)=\frac{24\times 6\times 9999}{9}\] \[\therefore \]Required average \[=\frac{24\times 6\times 9999}{9\times 24}=6666\]


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