Birthday problem Ram and Shyam just became friends with Shre | Maths Sorcerer 🎩

Birthday problem

Ram and Shyam just became friends with Shreya, and they want to know when her birthday is. Shreya gives them a list of 10 possible dates.
May 15
May 16
May 19
June 17
June 18
July 14
July 16
August 14
August 15
August 17

She then tells Ram and Shyam separately the month and the day of her birthday respectively.

Ram: “I don’t know when Shreya’s birthday is, but I know that Shyam does not know too.“

Shyam: “At first I don’t know when her birthday is, but I know now.“

Ram : “Then I also know when her birthday is.“

When is Shreya's birthday?
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