Aptitude Topics
Clock Angles
To find the angle $\theta$ between the hour hand at $H$ hours and the minute hand at $M$ minutes, use: $\theta = |30H - 5.5M|$.
Essential Formulation Tips
- If the result is greater than 180°, subtract it from 360° to find the reflex angle.
- Always take the absolute value $|...|$ to ensure the angle is positive.
Example Breakdown: Angle at 3:30
Problem QueryWhat is the angle between the hands at 3:30?
Step-By-Step Solution Path
H = 3, M = 30.
Formula: $|30(3) - 5.5(30)| = |90 - 165| = |-75| = 75^{\circ}$.
Angle Drills
Calculate the angle between hands for various times.
Q1. What is the angle between the hands at 6:00?