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Question

A watch which gains uniformly was observed to be 5 minutes slow at 12 noon on a Sunday. On the subsequent Wednesday at 6:00 p.m., it was noticed that the watch was 5 minutes fast. When did the watch show the correct time?

A
On Monday at 12 noon
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B
On Monday at 3:00 a.m,
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C
On Tuesday at 3:00 a.m.
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D
On Tuesday at 12 midnight
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E
None of these
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Solution

The correct option is E On Tuesday at 3:00 a.m.
Since the watch is 5 minutes slow at 12 noon on a Sunday and 5 minutes fast on the subsequent Wednesday at 6:00 p.m, it will show the right time at a time exactly mid way of theses 2 times.
hours passed=24+24+24+6=78hrs
mid way will be 39hrs after Sunday noon, which will be 3:00 a.m. tuesdsay.

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