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Yes, in order to keep Coordinated Universal Time (UTC) in sync with Greenwich Mean Time (GMT), a leap second is occasionally added between the end of June and the beginning of July or between the end of December and the beginning of January as needed.

30 June 2012 11:59:57 PM UTC...
30 June 2012 11:59:58 PM UTC...
30 June 2012 11:59:59 PM UTC...
30 June 2012 11:59:60 PM UTC... <-- leap second
1 July 2012 12:00:00 AM UTC...
1 July 2012 12:00:01 AM UTC...
1 July 2012 12:00:02 AM UTC...

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Q: Is there a year with a minute that has 61 seconds?
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