(C) The formula to calculate the angle $\theta$ between the hour hand and the minute hand is given by $\theta = |30H - 5.5M|$,where $H$ is the hour an

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(C) The formula to calculate the angle $\theta$ between the hour hand and the minute hand is given by $\theta = |30H - 5.5M|$,where $H$ is the hour and $M$ is the minutes.Given $H = 4$ and $M = 30$.Substituting the values into the formula:$\theta = |30(4) - 5.5(30)|$$\theta = |120 - 165|$$\theta = |-45| = 45^{\circ}$.Thus,the angle between the two hands is $45^{\circ}$.

Competitive Quantitative Aptitude Clock and Calendar Problems on Clock

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Find the angle between the two hands of a clock at $30$ $minutes$ past $4$ $O$'clock. (in $^{\circ}$)

A
$40$
B
$30$
C
$45$
D
None of these

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Find the angle between the two hands of a clock at $30$ $minutes$ past $4$ $O$'clock. (in $^{\circ}$)

Similar Questions

My watch was $3$ minutes slow at $5$ pm on Tuesday and it was $5$ minutes fast at $11$ pm on Wednesday. When did it give the correct time?

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