Kyle has two friends Jeff and Shane However they cannot be v

Kyle has two friends Jeff and Shane. However, they cannot be very good friends because they do not know Kyle’s birthday! Kyle gives both friends the following ten days and tells them that one of the given days is his birthday.

May 12 May 15 May 20 June 15 June 30 July 20 July 25 July 28 August 12 August 25

Kyle tells Jeff the month that he was born in, but only the month. Kyle tells Shane the day of his birthday, but only the day.

The following conversation occurs:

Jeff: I don’t know when Kyle’s birthday is, but I know for certain that Shane does not know either.

Shane: At first I didn’t know Kyle’s birthday, but after what Jeff just said I now know!

Jeff: Well if that is the case then I also know Kyle’s birthday.

When is Kyle’s birthday? Note: You must answer this question by using the given information. If you are able to find my birthday by other means you will receive no credit!

Solution

june 30

According to the conversation

the statement given by Jeff clearly states that the month of kyle\'s birthday is the month which has two dates

so it may be june or august

the statement given by Shane clearly states that he knows the date on which kyle\'s birthday falls

it may be the date which is not repeated in the given data

so it may be 28 or 30

From this it is clear that Kyle\'s birthday is on june 30