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# logic-a math olympics question

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840
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May 12, 2015

#2
+17776
+15

If Bernard were told the 19th, he would know that the birthday was May 19.

If Bernard were told the 18th, he would know that the birthday was June 18.

The only way that Albert knows that Bernard doesn't know occurs when Albert was told either July or August (thus eliminating May 19 and June 18).

If now Bernard knows, it couldn't be the 14th because this occurs in both July or August.

July has one date left, the 16th, while August has two dates left, the 15th and 17th.

So, if Bernard now knows, it must be because he was told the 16th.

Birthdate -- July 16.

May 12, 2015

#1
0

I dont see a way to get the answer since there isnt enough information

May 12, 2015
#2
+17776
+15

If Bernard were told the 19th, he would know that the birthday was May 19.

If Bernard were told the 18th, he would know that the birthday was June 18.

The only way that Albert knows that Bernard doesn't know occurs when Albert was told either July or August (thus eliminating May 19 and June 18).

If now Bernard knows, it couldn't be the 14th because this occurs in both July or August.

July has one date left, the 16th, while August has two dates left, the 15th and 17th.

So, if Bernard now knows, it must be because he was told the 16th.

Birthdate -- July 16.

geno3141 May 12, 2015
#3
0

k i guess i didn't really think that one through like that

May 12, 2015
#4
+102761
+10

Thanks for that great answer Geno.

Thanks for the puzzle Fiora - I have added it to our Logic Puzzle thread

May 12, 2015
#5
+28125
+10
May 12, 2015
#6
+102761
0

Thanks Alan

May 12, 2015
#7
+102320
0

Nice, geno...it's gonna' take some time to wrap my mind around this one......!!!!!

May 12, 2015