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CLAT Sample Paper CLAT Sample Paper-7

  • question_answer
    A, B and C starts 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, \[252=2\,\times 2\times 3\times 3\times 7\] \[308=2\times 2\times 7\times 11\] \[198=2\times 3\times 3\times 11\] \[\therefore \] \[LCM=2\times 2\times 3\times 3\times 7\times 11\] \[=36\times 77\,s\] \[=\frac{36\times 77}{60}\,\min \] \[=\frac{231}{5}=\,46\,\min \,12\,s\]


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