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SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of all natural numbers between 100 and 200, which are multiples of 3 is

    A) 5000

    B)  4950   

    C)  4980   

    D)  4900

    Correct Answer: B

    Solution :

    Numbers divisible by 3 and lying between 100 and 200 are: 102, 105,..., 198 Let number of terms = n \[\therefore \]      \[198=102+\,\,(n-1)\,\,3\] \[\Rightarrow \]   \[n-1=\frac{198-102}{3}=32\]\[\Rightarrow \]\[n=33\] \[\therefore \]      \[S=\frac{n}{2}\,\,(a+l)=\frac{33}{2}\,\,(102+198)=4950\]


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