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

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1. 

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

[A]. 32 8/11 min.
[B]. 36 5/11 min.
[C]. 90 min.
[D]. 96 min.

Answer: Option A

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in 1-sym-oparen-h1 60 x 60 1-sym-cparen-h1min. = 65 5 min.
55 11
Loss in 64 min. = 1-sym-oparen-h1 65 5 - 64 1-sym-cparen-h1 = 16 min.
11 11
Loss in 24 hrs = 1-sym-oparen-h1 16 x 1 x 24 x 60 1-sym-cparen-h1min. = 32 8 min.
11 64 11
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