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SSC Sample Paper SSC CGL - Sample Paper-5

  • question_answer
    A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 s, B in 308 s and C in 198 s, all starting at the same point. After what time will they next meet at the starting point again?

    A)  46 min 12 s      

    B)  45 min

    C)  42 min 36 s                  

    D)  26 min 18 s

    Correct Answer: A

    Solution :

    Required time = LCM of 252, 308 and 198 s Now,     \[252=2\times 2\times 3\times 3\times 3\]             \[308=2\times 2\times 7\times 11\]             \[198=2\times 3\times 3\times 11\] \[\therefore \]LCM \[=2\times 2\times 3\times 3\times 7\times 11\]             \[=36\times 77\,s\]             \[=\frac{36\times 77}{60}\] min             \[=\frac{231}{5}=46\] min 12 s 


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