Logical Reasoning

Clocks & Calendar

Easy

At what angle the hands of a clock are inclined at 15 minutes past 5?

72.5 degrees

67.5 degrees

64 degrees

58.5 degrees

✅ Correct Option: 2

Angle between the hour and minute hand $= |30H - \frac{11}{2}M|$

where $H$ is the hour hand, and $M$ is the minute hand

So,

$H=5$

$M = 15$

Substituting:

$= |30(5) - \frac{11}{2}(15)|$

$= |150 - \frac{165}{2}|$

$= |150 - 82.5|$

$= |67.5|$

Therefore, the angle between the hands is $67.5°$

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