Question

In a clock, the angle between the hours hand and minutes hand at 5 hour 10 minutes, is

• A. $60^{\circ}$
• B. $95^{\circ}$
• C. $120^{\circ}$
• D. $90^{\circ}$

Hint:

For quick mental math, remember that each hour mark is $30^{\circ}$ and the hour hand moves $0.5^{\circ}$ per minute.

Answer 1

The Correct Option is B

Step 1: Concept
The angle between hands is calculated using the formula: $\text{Angle} = |30H - 5.5M|$, where $H$ is hours and $M$ is minutes.

Step 2: Meaning
Here $H = 5$ and $M = 10$.

Step 3: Analysis
$\text{Angle} = |30(5) - 5.5(10)| = |150 - 55|$.

Step 4: Conclusion
$150 - 55 = 95^{\circ}$. Final Answer: (B)