The correct option is B 06:00 hrs, 22:00 hrs
The time upto 12:59 pm from midnight has no change while converting from 12-hour clock to 24-hour clock. But,for the time after 12:59 pm, we add 12 to the given time to convert it to 24-hour clock.
So, Badhana wakes up at 06:00 hrs (=06:00 am),
and goes off to bed at (10+12=)22:00 hrs(=10:00 pm).