Question

Angle between the two hands at 5:55 PM is:

• A. \(150^\circ\)
• B. \(152.5^\circ\)
• C. \(155.5^\circ\)
• D. \(125.5^\circ\)

Hint:

Hour hand moves \(0.5^\circ\) per minute. Use: angle \(=\lvert 30H-5.5M\rvert\).

Answer 1

The Correct Option is B

Minute hand at 55 min \(\Rightarrow 55\times 6=330^\circ\).
Hour hand at \(5+\frac{55}{60}\) hours \(\Rightarrow (5+\tfrac{55}{60})\times 30=177.5^\circ\).
Angle \(=|330-177.5|=152.5^\circ\).
\[ \boxed{152.5^\circ} \]