To determine the time after the hour hand has moved 135°, we need to calculate the angle covered by the hour hand per hour.

In a standard clock, the hour hand completes a full circle (360°) in 12 hours. So, the hour hand covers 360°/12 = 30° per hour.

Given that the hour hand has moved 135°, we can divide this angle by the angle covered per hour to find the number of hours that have passed.

135° / 30° = 4.5 hours

Adding this time to the initial time of 3.00, we get:

3.00 + 4.5 hours = 7.30

Therefore, the time after the hour hand has moved 135° is 7.30.

So, the correct option is A) 7.30.