Question

For a standard clock, what is the angle between the hour hand and the minute hand when the clock shows 8:56 PM?
1. 72⁰
2. 68⁰
3. 86⁰
4. 50⁰

Answer 1

Correct Answer - Option 2 : 68⁰

The logic follows here is :-

The angle between the hour and the minute hand when clock shows 8:56 PM can be calculated using the following formula.

Angle = \([{11 \over 2}M - 30H]\)

Where M = Minutes and H = Hours

Here M = 56 and H = 8 

Therefore, angle = \({11\over 2} \) × 56 - 30 × 8 = 308 - 240 = 68

Hence 68⁰ is the angle between hour and minute hand when clock shows 8:56.

Thus, the correct answer is 68⁰.