CUET CUET General Test 2024 - 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 ? | PYQs + Solutions

CUET General Test 2024

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.