Sol : = 30 points
For the first time minute- hand and hour-hand will be seperated in and for every next time they will take minutes more to occur as opposite to each other.
( since in 60/55 hours they complete one round of clock's dail i.e , 60npoints undergoing the relative motion, we have total 12 hours)
only integral value is admissible.
Thus, total 10+1 =11 times both hands of a clock will be oppositeb to each other.