Math Department Lunch

The ‘Math Department Lunch’ is in March, but I forgot which day, so I asked around.

Denise said that the date was an odd number; Kristell claimed it was greater than 13. Wanda declared it was not a perfect square, while Linda swore it was a perfect cube. Finally, Anthony told me the date was less than one-fourth his age, which I know to be 68.

Yesterday I learned that only one of them had told the truth!

What is the date of the lunch?

 

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