As M and N are walking in opposite directions, their relative speed is the sum of their speeds:
Relative Speed = Speed of M + Speed of N
Relative Speed = 5+2=7 rounds per hour
Time interval = 6:30 a.m.- 5:00 a.m. = 1.5 hours
Number of times they cross each other = Relative Speed x Time Duration
Number of times they cross each other =7 X 1.5
Number of times they cross each other = 10.5
Since they cannot cross each other half a time, we consider the whole number.
Number of times they cross each other before 6:30a.m. is 10.
Option (a) is the correct answer.