Question

The angle created by two hands of a clock when the clock shows 5.20 P.M. is :

• A. 30°
• B. 35°
• C. 40°
• D. 60°

Answer 1

The Correct Option is C

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.