Question

Here is a puzzle....
Vikram and Muthu befriended a hot girl. They ask her what is her birthday. She does not give a straight forward answer, but gives some hints. She gives them the following 10 dates to pick her birthday. May: 15, 16, 19
June: 17, 18
July: 14, 16
August: 14, 15, 17
Then she discloses correct month to Vikram and the correct date to Muthu.
Asks Vikram to guess the right birthday. He says sorry I can't, but I am sure even Muthu won't be able to guess it right.
Now Muthu says, I was a bit confused but with Vikram's statement, I know what is her birthday.
Now Vikram says if that is the case, I also know what is it.
Both guessed it right. Now it is your turn to guess the right birthday. Good luck!

Answer 1

Answer:

I think may 19

Explanation:

Answer 2

Answer:

Girl birthday is on July 16th.

Explanation:

The logic behind solving the puzzle is;

Vikram has been told about the month whereas Muthu knows the date.

Now the statement when Vikram says that he doesn't know and also is sure that  Muthu isn't aware of the correct date, it means that it there is no single data which rules out the 18th and 19th and hence the months of May and June.

This leads to the month of July which has two dates . Now when

Firstly, since July has two dates, but when Muthu says he knows what is her birthday and then Vikram says, the unique date is 16th and hence answer is 16th July