The mirror image of a clock shows a time of 9:25hrs. What is the time shown in the clock? Also, calculate the angle between the minute hand and the hour hand, when taken in clockwise direction from the hour hand, at the time shown in the clock.

The logic followed here is as follows, 1) If the time is between 1 and 11 then to find the actual time, the given time is subtracted by 11:60. 2) If the time is between 11 and 1 then to find the actual time, the given time is subtracted by 23:60. As, the time is between 1 and 11, so, the given time is subtracted by 11:60. 11:60 - 9:25 = 2:35 So, the time shown in the clock is 2:35hrs. For angle between hour hand and minute hand at 2:35hrs, The logic followed here is as follows, Hour hand makes an angle of 30⁰ in one hour and an angle of 0.5⁰ in one minute. Similarly, minute hand makes an angle of 6⁰ in one minute. So, angle made by hour hand at 2:35hrs = (2 X 30 + 0.5 X 35) = 60 + 17.5 = 77.5⁰ Similarly, the angle made by minute hand at 2:35hrs = 35 X 6 = 210⁰. So, the angle between the hour and minute hand at 2:35hrs = 210⁰ - 77.5⁰ = 132.5⁰ Thus the time shown n the clock is 2:35hrs and the angle between the minute and the hour hand is 132.5⁰.