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Question

There are two clocks on a wall, both set right at 10:00 a.m. on Sunday. Both the clocks lose 1 minute and 2 minute, respectively, every hour. Ifthe clock which loses 2 minutes every hour shows 8:00 p.m. on the following Tuesday, what time does the clock which loses 1 minute every hour show?

A
8:30 p.m.
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B
9:00 p.m.
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C
8:45 p.m.
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D
9:30 p.m.
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E
None of these
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Solution

The correct option is C 9:00 p.m.
Let the hours passed be x,
time shown on clock 1=8:00 p.m. tuesday (24+24+10 hrs)
60x-2x=58*60,
x=60hrs,
actual time=10:00 p.m.
time on clock 2=(60-1)*60=59hrs,
=9:00 p.m. tuesday.

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