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How much does a watch lose per day, if its hands coincide ever 64 minutes?

32 8/11
33 8/11
34 8/11
35 8/11

Correct Answer: 32 8/11

Explanation:

55min spaces are covered in 60min

60 min. spaces are covered in (60/55 x 60) min= 65+5/11 min.

loss in 64min=(65+5/11)- 64 =16/11

Loss in 24 hrs (16/11 x 1/64 x 24 x 60) min= 32 8/11.

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