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

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

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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