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Between 6 PM and 7 PM the minute hand of a clock will be ahead of the hour hand by 3 minutes at
1. 6 ∶ 15 PM
2. 6 ∶ 18 PM
3. 6 ∶ 36 PM
4. 6 ∶ 48 PM

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Correct Answer - Option 3 : 6 ∶ 36 PM

The hour hand travels 30 degrees when the minute hand travels 360 degrees. Implies, when the minute hand goes 12 degrees the hour hand goes 1 degree.
Thus, when the minute hand will reach the 36th minute i.e. 216 degrees the hour hand would have travelled 18 degrees. Thus, when the minute hand will reach 36th minute, the hour hand would have been on 33rd minute.

Hence, at 6:36 pm, the minute hand would have been 3 minutes ahead of the hour hand.

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