Question:
What will be the angle between the hour and minute hand at 3:30?
What will be the angle between the hour and minute hand at 3:30?
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At 3:30, the minute hand is at 6 and the hour hand is exactly halfway between 3 and 4.
Updated On: Jun 26, 2026
- $60^{\circ}$
- $75^{\circ}$
- $45^{\circ}$
- $90^{\circ}$
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Angle formula: $|\frac{11}{2}M - 30H|$, where M = minutes and H = hours.
Step 2: Calculation
- $H = 3, M = 30$ - Angle = $|\frac{11}{2} \times 30 - 30 \times 3|$ - Angle = $|11 \times 15 - 90|$ - Angle = $|165 - 90| = 75^{\circ}$. Final Answer: (2)
Angle formula: $|\frac{11}{2}M - 30H|$, where M = minutes and H = hours.
Step 2: Calculation
- $H = 3, M = 30$ - Angle = $|\frac{11}{2} \times 30 - 30 \times 3|$ - Angle = $|11 \times 15 - 90|$ - Angle = $|165 - 90| = 75^{\circ}$. Final Answer: (2)
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