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

Question: How much does a watch lose per day, if its hands coincide every 64 minutes?
[A].

32 8 min.
11

[B].

36 5 min.
11

[C].

90 min.

[D].

96 min.

Answer: Option A

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in 60 x 60 min. = 65 5 min.
55 11
Loss in 64 min. = 65 5 – 64 = 16 min.
11 11
Loss in 24 hrs = 16 x 1 x 24 x 60 min. = 32 8 min.
11 64 11