Subject

    Quantitative Aptitude

    Topic

    Clock

    A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

    ক)
    7pm on wednesday
    খ)
    20 min past 7pm on wednesday
    গ)
    15min past 7pm on wednesday
    ঘ)
    8pm on wednesday

    Explanation

    This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains  5+548605+5\frac{48}{60} min in a time of  (7×24)+12 = 180 hours. To show the correct time, it has to gain 5 min. 545min→180hours\frac{54}5min\rightarrow180hours 5min -> (5542×180)\left(\frac5{\displaystyle\frac{54}2}\times180\right) 8313hrs=72hrs+1113hrs=3days+11hrs+20min83\frac13hrs=72hrs+11\frac13hrs=3days+11hrs+20min So the correct time will be shown on wednesday at 7:20 PM

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