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A clock is set right at 5 a.m. The clock loss 16 min in 24 h. What time will be right time when the clock indicate 10 p.m. on the 4th day ?

Solution

Correct Option: 3

When clock shows 24 hours, true time = 24 h 16 min, so ratio clock : true = 1440 : 1456 = 90 : 91. (Equivalently, in 24 h true time the faulty clock shows 23 h 44 min, giving ratio 90 : 89 from clock to true... reworking: 89 clock minutes = 90 true minutes.)

From 5 a.m. to 10 p.m. on 4th day on the clock = 3 days 17 h = 89 h.

True time = 89 x 90/89 = 90 h from 5 a.m. = 3 days 18 h, giving 11 p.m. on 4th day.

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