Question:
The angle created by two hands of a clock when the clock shows 5.20 P.M. is :
The angle created by two hands of a clock when the clock shows 5.20 P.M. is :
Updated On: Dec 21, 2025
- 30°
- 35°
- 40°
- 60°
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The Correct Option is C
Solution and Explanation
To find the angle created by the two hands of a clock at 5:20 P.M., let's use the formula for calculating the angle between the hour and minute hands of a clock:
The formula to calculate the angle is:
\(\theta = \left| \frac{11}{2} M - 30H \right|\)
where \(H\) is the hour and \(M\) is the minute.
For this question, \(H = 5\) and \(M = 20\). Let's substitute these values into the formula:
\(\theta = \left| \frac{11}{2} \times 20 - 30 \times 5 \right|\)
Simplifying the equation:
- \(\theta = \left| \frac{220}{2} - 150 \right|\)
- \(\theta = \left| 110 - 150 \right|\)
- \(\theta = \left| -40 \right|\)
- \(\theta = 40^\circ\)
The angle between the two hands of the clock at 5:20 P.M. is 40°.
This matches option 40°, confirming it is the correct answer.
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