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KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    Sum of all the digits used in writing all the numbers from 1 to 1000 is -

    A) 12741

    B) 13946

    C) 4996    

    D) 13501

    Correct Answer: D

    Solution :

    S=0+1+2+3+??..+998+999
    S = 999+998+?. +1+0
    2S = 999+ 999 + ??. (1000 times)
    (sum of the digits being 27 in each case)
    \[=1000\times 27\Rightarrow S=13501\]


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