What is the angle between the hour hand and the minute hand of a clock at 9:30?
Answer and explanation
Correct answer: D. 105°
- Step 1: Apply the angular separation formula between the hour and minute hands: .
- Step 2: Substitute and : .
- Step 3: Taking the internal (minor) angle yields 105°.
Answer
105°.
Why not the others: 255° is the reflex angle (); 120° neglects the 15° advance of the hour hand; 75° subtracts 15° instead of adding.
Practise more Clocks.
Free questions with an explanation for every one, and full timed CAT mock tests.
More Clocks questions
- What is the angle between the hour hand and the minute hand of a clock at 5:00?
- What is the angle between the hour hand and the minute hand of a clock at 2:00?
- What is the angle between the hour hand and the minute hand of a clock at 3:40?
- What is the angle between the hour hand and the minute hand of a clock at 5:50?
- What is the angle between the hour hand and the minute hand of a clock at 10:50?
- What is the angle between the hour hand and the minute hand of a clock at 10:40?