Find the angle between the minutes hand and the hours hand at 10:40 ?

Answer (C)

Lets take number 12 in clock, as the reference.

hours hand make 30° in 1 hr & (1/2)° in 1 minute.

when the time is 10:40, angle made by hours hand = 10(30)+40(1/2) = 320°

Minute hand makes 30° in every 5 mins==> so in 1 min, it makes 30°/5 = 6°

So in 40 mins, it makes 40*6°=240°

The difference in angles is 320°-240° = 80°

So the answer is option C.