Railways Quantitative Aptitude LCM & HCF Sample Paper HCF and LCM Sample Test Paper-2

  • question_answer
    One pendulum ticks 57 times in 58 seconds and another 608 times in 609 seconds. If they started simultaneously, find the time after which they will tick together.

    A)  \[\frac{211}{19}s\]       

    B)  \[\frac{1217}{19}s\]

    C)  \[\frac{1218}{19}s\]     

    D)  \[\frac{1018}{19}s\]

    Correct Answer: C

    Solution :

    [c] Time gap between two consecutive ticks \[\frac{58}{57}\,\,\sec .\] and \[\frac{609}{608}\,\,\sec .\] \[\therefore \] Required time = LCM of \[\frac{58}{57}\] and \[\frac{609}{608}\] \[=\frac{LCM\,\,o\text{f}\,\,\text{58}\,\,\text{and}\,\,\text{609}}{HCF\,\,o\text{f}\,57\,\,\text{and}\,\,608}=\frac{1218}{19}\sec \]


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