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Question

A clock is set right at 4 am The clock loses 20 minute in 24 hours What will be the true time when the clock indicates 3 am on 4th day?

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Solution

Time from 4 am to 3 am on 3rd day = 24 x 3 - 1 = 71 hrs
Now 23 hours 40 minutes of this clock = 24 hours of correct clock
2323=713⇒2323=713 hours of this clock = 24 hours of correct clock
71 hours of this clock = 24×3×717124×3×7171 = 72 hours of correct clock
Hence correct time = 3 am + (72 - 71) = 4 am

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