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SSC Sample Paper SSC CGL - Sample Paper-12

  • question_answer
    The sum (101 + 102 + 103 +.....+ 200) is equal to

    A) 15000              

    B) 15025

    C) 15050  

    D) 25000

    Correct Answer: C

    Solution :

    101+102 + 103 +.....+ 200 S = (100 + 1) + (100 + 2) + (100 + 3) +....+ (100 + 100) Thus, it consists of 100 terms. = (100 + 100 + 100 + .... .100 times) + (1 + 2 + 3 +......+ 11 \[=(100\times 100)+(1+2+3+...+100)\] \[=(10000)+(1+2+3+...+100)\] \[=1000+\frac{100\times (100+1)}{2}\] \[=10000+5050=15050\]          


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