Tessellate S.T.E.M.S. (2019) - Computer Science - School - Set 3 - Objective Problem 5

Ram and Shyam just became friends with Gopal, and they want to know when his birthday is. Gopal gives them a list of possible dates:

• April 12, April 13, May 2, May 3, May 6, June 4,
• June 5, July 1, July 3, July 8, July 9, July 10,
• July 11, July 13, Aug 1, Aug 2, Aug 4, Aug 7,
• Aug 9, Sept 1, Sept 7, Sept 11, Oct 1, Oct 7,
• Oct 9, Nov 8, Nov 9, Nov 12, Dec 8, Dec 10

Then Gopal tells Ram the month, and Shyam the day. After this, there is the following conversation between Ram and Shyam

• Ram: I don't know when Gopal's birthday is, and I also know that you know that I know that you don't know it.
• Shyam: Thanks for your information, but I still don't know.
• Ram: Nor I do.
• Shyam: But now I do!
• Ram: So I do!

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This problem is a part of Tessellate S.T.E.M.S (2019)