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Working reverse from the options

A. 3.20 am

+ 12 hours | Daniel's watch would have gone -24 hours, time it shows 3:20 pm

B. 5.50 am

+ 14.50 hours | Daniel's watch would have gone -29 hours, time it shows 11:20 pm

C. 5.50 pm

+ 3.50 hours | Daniel's watch would have gone -7 hours, time it shows 6:20 pm

D. 7.20 pm

+ 4 hours | Daniel's watch would have gone -8 hours, time it shows 7:20 pm

E. 11.20 pm
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Correct Option D

At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate.

At what next earliest time did it show the correct time for an instance?

Reverse 2x | Forward 1x
Faulty watch | Correct Watch
3:20 pm. | 3:20 pm.
1:20 p.m | 4:20 p.m - after 60 mins
11:20 a.m | 5:20 p.m - after 120 mins
9:20 a.m | 6:20 p.m - after 180 mins
7:20 a.m | 7:20 p.m - after 240 mins

Correct Option D

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Given: At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate.

Asked: At what next earliest time did it show the correct time for an instance?

Since the clock effectively moves 3 times of usual speed in reverse direction and clock will show the same time every 12 hours.

The time taken by the clock to show correct time = 12/3 = 4 hours

3:20 + 4:00 = 7:20 am

IMO D

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