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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Multinomial Theorem, Number of Divisors, Miscellaneous problems

  • question_answer
    The number of numbers of 4 digits which are not divisible by 5 are

    A) 7200

    B) 3600

    C) 14400

    D) 1800

    Correct Answer: A

    Solution :

    The total number of 4 digits are\[9999-999=9000\]. The numbers of 4 digits number divisible by 5 are\[90\times 20=1800\]. Hence required number of ways are \[9000-1800=7200\]. {Since there are 20 numbers in each hundred (1 to 100) divisible by 5 and from 999 to 9999 there are 90 hundreds, hence the results}.


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