What is the angle between the hour hand and the minute hand of a clock at 10:40?
Answer and explanation
Correct answer: A. 80°
- 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 80°.
Answer
80°.
Why not the others: 280° is the reflex angle (); 50° ignores hour hand advance; 95° adds rather than subtracts the constant term in the final step.
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 9:30?
- 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?