The moon orbits the Earth approximately once every 30 days. This leads to a shift in rising time each day. The moon rises (approximately) 50 minutes later each day because of the combined effect of the Earth`s rotation on its axis and the moon`s orbital motion around Earth. This means that by the fourth day, it will rise around 3*50 minutes after it did on the first day. In calculation, 1 hour and 50 minutes after 6:48 pm is around 9:12 pm.
Option 1 (8:24 pm) and option 3 (10:00 pm) doesn`t fit because the calculations are not close to the 150 minutes shift. Option 4 (11:48 pm) overestimates the delay in the moon`s rise. Thus, option 2 (9.12 pm) is the correct answer as it best fits with the delay calculation.