Cheryl Birthday

Topics: 1967, 1966, 1982 Pages: 2 (256 words) Published: April 21, 2015

Possible Dates
May

15
16

19
June

17
18

July
14

16

August
14
15

17

Albert knows the month
Bernard knows the day
Statement 1: Albert knows that Bernard does not know the exact date i.e. it cannot be on May 18th or June 19th because if it is any of the numbers, Bernard will know the exact date based on the day only May

15
16

19
June

17
18

July
14

16

August
14
15

17

Statement 1 cont:
If the birthday is on May or June: Albert would have said I don’t know when Cheryl’s birthday is but Bernard may know. Because he said that he DEFINITELY knows Bernard doesn’t know, Cheryl’s birthday has to be either in July or August July

14

16

August
14
15

17

Statement 2: After hearing what Albert says, Bernard now knows the birthday. ****REMEMBER****Bernard knows the day but not the month
Since Bernard knows the date, he knows exactly which month it is. So it cannot be 14th since both months left have 14th. July
14

16

August
14
15

17

So after this statement, we are only left with 3 dates.
Statement 3: With the 3 remaining dates, Albert now knows when Cheryl’s birthday is. ****REMEMBER****Albert knows the month but not the day
If it was August, there is still a choice between the 15th and the 17th. So this cannot be the answer So it was in July and there is only 1 possible day left in July ANS: JULY 16th
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