A clock overtakes the hour hand after 64 minutes. Then, how much time will it gain in a day ?

32 \(\frac{8}{11}\)minute

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).