Logical Reasoning

Clocks & Calendar

Medium

The current time is 10 minutes past 3 in the afternoon. What will the be angle between the hour hand and the minute hand of the clock, 4 hours and 30 minutes from now?

40°

10°

25°

15°

✅ Correct Option: 2

3:10 plus 4 hours 30 minutes gives 7:40.

Minute hand angle $= 40 \times 6 = 240°$ from 12.

Hour hand angle $= 7 \times 30 + 40 \times 0.5 = 210 + 20 = 230°$ .

Required angle $= 240 - 230 = 10°$ .

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Solution