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At what angle the hands of a clock are inclined at 30 min past 6?
1. 45°
2. 15°
3. 30°
4. 20°

1 Answer

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Best answer
Correct Answer - Option 2 : 15°

The hour needle travels 30° while the minute needle travels 360°.
Implies, when the minute needle will travel 180° the hour needle will travel 15°.
Thus, when the minute needle will reach at 6, the hour needle would be exactly between 6 and 7.

Hence, the difference between them would be 15°.

Alternate Method:

At 6'o clock, the hour hand will be at 180° from the hour hand. Now 30 minutes past 6 meaning 6:30.

In 30 minutes the hour hand will travel 1/2 × 30° = 15°

The final position of hour hand will be = 180° + 15° = 195°

Whereas the final position of the minute hand will be 180° 

So angle between them = 195° - 180°  = 15°

Hence, the answer is 15°.

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