Q. The angle between the minute hand and the hour hand of a clock at 3:00 p.m. is
(ADRE 2024)
(A) 30°
(B) 60°
(C) 90°
(D) 120°
Answer:- (C) 90°
Solution:-
At 3:00 PM, the minute hand points directly at 12, while the hour hand points directly at 3. On a clock face, there are 3 divisions between the 12 and the 3.
Since a full circle is 360 degrees, and a clock face is divided into 12 equal parts, each division represents 360/12 = 30 degrees.
Therefore, the angle between the minute hand and the hour hand at 3:00 PM is 3 × 30 = 90 degrees.