Question

Alex and Benny were chatting with a girl. They ask her what her birthday is. She does not give a straightforward answer, but gives some hints. She gives them the following 10 dates, says it's one of these: May: 5, 6, 9 June: 7, 8 July: 4, 6 August: 4, 5, 7 Then she discloses the correct month to Alex and the correct date to Benny. She asks Alex to guess the birthday. He says sorry I can't, but I know Benny won't be able to guess it either. Now Benny says, I was initially a bit confused, but with Alex's statement, I now know what your birthday is. At this point Alex says if that is the case, I also know what it is. Both guessed right. What is the birthday?

Answer 1

it is 7 july

Maybe....

Very tricky!

Answer 2

The Alex date of birth is July 16.

Explanation:

• We have to remember that
• Albert is told either May, June, July or August.
• Bernard is told either 14, 15, 16, 17, 18 or 19
• Let's solve this question line by line.
• Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know too.
• The ten dates are May 19 and June 18.
• The possible dates are July 16, Aug 15 and Aug 17 for Albert.
• The Alex date of birth is July 16.