A clock overtakes the hour hand after 64 minutes. Then, how much time will it gain in a day ?
Answer & explanation
Correct answer: option 2
The time clock overtakes after = 65\(\frac{5}{11}\) minute
In 64 minute = 65\(\frac{5}{11}\) – 64 = \(\frac{16}{11}\) minute
In 60 minute = \(\frac{16}{11}\) × \(\frac{60}{64}\)
In 24 hours = \(\frac{16}{11}\) × \(\frac{60}{64}\) × 24 = 32\(\frac{8}{11}\) minutes
So, correct answer is option (B).