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KVPY Sample Paper KVPY Stream-SX Model Paper-11

  • question_answer
    The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetiticq of digits allowed) is equal to:

    A) 250                              

    B) 374

    C) 372                              

    D) 375

    Correct Answer: B

    Solution :

    \[\]
    Number of number \[={{5}^{3}}-1\]
    \[\]
    2 ways for \[{{a}_{4}}\]
    Number of number\[=2\times {{5}^{3}}\]
    Required number \[={{5}^{3}}+2\times {{5}^{3}}-1\]
                            = 374


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