Logical Reasoning

Clocks & Calendar

Medium

What will be the measurement of the angle made by the hour and minute hands of a clock when the time is quarter past 3 ?

$6 \frac{1}{2}°$

$10°$

$7 \frac{1}{2}°$

$8 \frac{1}{2}°$

✅ Correct Option: 3

At quarter past 3, the minute hand is at the 3 (15 minutes), which is at $6 \times 15 = 90$ degrees from the 12 o'clock position.

The hour hand at 3:15 is $30 \times 3 + \frac{15}{60} \times 30 = 90 + 7.5 = 97.5$ degrees from the 12 o'clock position.

The angle between the hour and minute hands is $|97.5 - 90| = 7.5$ degrees.

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Solution

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