Question

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

• A. 32 $\frac{8}{11}$ min
• B. 36 $\frac{5}{11}$ min
• C. 90 min
• D. 96 min
• E.

Hint:

For time-based problems, focus on the discrepancy per cycle, then calculate how it adds up over time.

Answer 1

The Correct Option is A

Since a watch loses time when its hands coincide, we need to calculate how much time is lost per day. The time taken for the hands to coincide is 64 minutes instead of 60. This discrepancy accumulates over time. 
The total loss per day is calculated as 24 hours, or 1440 minutes. 
The difference per minute is $(64 - 60) = 4$ minutes lost every 64 minutes. 
Thus, the total loss per day is calculated as: $$ \frac{4}{64} \times 1440 = 90 \text{ minutes lost per day}. $$