Subject

    Quantitative Aptitude

    Topic

    Clock

    How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?

    ক)
    36 7/9 min
    খ)
    32 8/11 min
    গ)
    34 3/11 min
    ঘ)
    65 5/11 min

    Explanation

    55 min. spaces are covered in 60 min. 60 min. spaces are covered in 6050×60\frac{60}{50}\times60  min. = 65  51165\;\frac5{11} min Loss in 64 min. = 65  511−64  =  161165\;\frac5{11}-64\;=\;\frac{16}{11} min Loss in 24 hrs = 1611×164×24×60\frac{16}{11}\times\frac1{64}\times24\times60 min = 3281132\frac8{11} min

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