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.

Correct Answer: Option A

55 min. spaces are covered in 60 min.

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

Loss in 64 min = (65(5/11) – 64) = 16/11 min.

Loss in 24 hrs = ((16/11) × (1/64) × 24 ×60) min.

= 32(8/11) min.