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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-23

  • 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+....+300 = (100+1) + (100 + 2) + (100 + 3) + ...+ (100+100) Thus, it consists of 100 terms. = (100 + 100 + 100 + ...100 times) + (1+ 2 + 3 +...+100) \[=(100\times 100)\] + (1 + 2 + 3 + .... + 100) = (10000) + (1 + 2 + 3 + ....+ 100) \[=10000+\frac{100\times (100+1)}{2}\] =10000+ 5050=15050 


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