At 3 o’ clock, the hour hand is at 90 degrees from the vertical. In 40 minutes,
Hour hand = 90 + 40*(0.5) = 90 + 20 = 110 (The hour hand moves at 0.5 dpm)
Minute hand = 40*(6) = 240 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 240 – 110 = 130 degrees.

At 9 o’ clock, the hour hand is at 270 degrees from the vertical. In 20 minutes,
Hour hand = 270 + 20*(0.5) = 270 + 10 = 280 (The hour hand moves at 0.5 dpm)
Minute hand = 20*(6) = 120 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 280 – 120 = 160 degrees.

In a clock, 12 hours form 360° degree. So one hour forms 30°. Therefore 7 hours form 210° (30° X 7) degree. In a minute, hour hand moves 0.5° degree, so in 10 minutes it moves 0.5° X 10 = 5°
Thus, by 10 Minutes past 7, hour hand has turn through 210° + 5° = 215°

The speed of hour hand is 0.5 dpm (Degree per Minute)
And the speed of minute hand is 6 dpm.
So, 300 degree traverse by minute hand in 300/6 = 50 Minutes.
Thus, angle moved by the hour hand in 50 minutes is 50/0.5 = 25° degrees.

Shortcut is to subtract the given time from 11:60 (As mentioned in key Point N). Thus the correct time is 11:60 – 11:25 = 0:35 and 0:35 mean 12:35 So, Answer is 12:35.