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Problem 4

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Cheryl's birthday- when is it?

 
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Problem 4

Postby Symmetry on Mon Apr 04, 2016 1:05 am

Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is.

Cheryl gives them a list of 10 possible dates. May 15, May 16, May 19, June 17, June 18, July 14, July 16, August 14, August 15, August 17. Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.

Albert says: “I don’t know when Cheryl’s birthday is, but I know that Bernard does not know too.”

Bernard says: “At first I don’t know when Cheryl’s birthday is, but I know now.”

Albert says: “Then I also know when Cheryl’s birthday is.”

So when is Cheryl’s birthday?
the world is in greater peril from those who tolerate or encourage evil than from those who actually commit it- Albert Einstein
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Re: Problem 4

Postby WingCmdr Ginkapo on Mon Apr 04, 2016 2:55 am

July 16
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Re: Problem 4

Postby Maxleod on Mon Apr 04, 2016 3:03 am

August 17 maybe?
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Re: Problem 4

Postby mrswdk on Mon Apr 04, 2016 3:13 am

No one knows, because Albert and Bernard decided it was time to find a better friend to hang around with.
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Re: Problem 4

Postby TA1LGUNN3R on Mon Apr 04, 2016 4:22 am

It can't be the 18th or 19th, otherwise Bernard would know automatically. That also takes away May and June.

The 14th could be eliminated since it's represented twice among July and Aug, Bernard can't narrow it down. Same goes for Aug 15th & 17th.

July 16

-TG
Last edited by TA1LGUNN3R on Mon Apr 04, 2016 7:27 pm, edited 1 time in total.
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Re: Problem 4

Postby Army of GOD on Mon Apr 04, 2016 9:02 am

my birthday is May 14
mrswdk is a ho
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Re: Problem 4

Postby muy_thaiguy on Mon Apr 04, 2016 3:22 pm

February 31st.
"Eh, whatever."
-Anonymous


What, you expected something deep or flashy?
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Re: Problem 4

Postby strike wolf on Mon Apr 04, 2016 7:04 pm

Nevermind. I see where I went wrong.
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Re: Problem 4

Postby betiko on Tue Apr 05, 2016 9:58 am

Symmetry wrote:Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is.

Cheryl gives them a list of 10 possible dates. May 15, May 16, May 19, June 17, June 18, July 14, July 16, August 14, August 15, August 17. Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.

Albert says: “I don’t know when Cheryl’s birthday is, but I know that Bernard does not know too.”

Bernard says: “At first I don’t know when Cheryl’s birthday is, but I know now.”

Albert says: “Then I also know when Cheryl’s birthday is.”

So when is Cheryl’s birthday?


ok so i'll try without looking at others

albert -> knows month
bernanrd -> knows day

Albert can't determine it alone, but he gives a hint that gives bernard the answer. "I know that Bernard does not know too.”
14th -> 2 dates
15th -> 2 dates
16th -> 2 dates
17th -> 2 dates
18th -> 1 date
19th -> 1 date

-> the only way for bernard to know first hand, would be if it was the 18th or 19th. So it is not.

-> so that gave a hint big enough for bernanrd to now determine the birthday.. If it's the case, it has to be a month where he has 1/1 chances after removing the 18 and 19.
The 19 is in may with 3 dates, so it's june that has only 2 dates including the 18th.

That bitche's birthday is on June 17th, and she's extremely rude.
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Re: Problem 4

Postby strike wolf on Tue Apr 05, 2016 10:38 am

No. They were right about the 16th. From what Albert knows he knows that because of the month it is in. It can't be a date Bernard can figure out.

May and June are the only months with unique dates so we know it can't be those.

Leaves:

July 14th
July 16th
August 14th
August 15th
August 17th

However after realizing it has to be in July and August from what Albert says. Bernard figures it out so It can't be a date that repeats in both months so eliminate the 14th, leaving

July 16th
August 15th
August 17

From bernard figuring it out, Albert was able to figure it out. Since it would be impossible based on this information for Albert to figure out from the above if it was an August birthday. The answer has to be July 16th. So Wing wins.
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Re: Problem 4

Postby WingCmdr Ginkapo on Tue Apr 05, 2016 2:27 pm

strike wolf wrote:So Wing wins.


Wing always wins
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Re: Problem 4

Postby Symmetry on Wed Apr 06, 2016 6:36 pm

July 16th is the right answer. Congrats if you figured it out, less congrats if you looked it up.

There's a sequel to this problem that you can find here:

https://en.m.wikipedia.org/wiki/Cheryl%27s_Birthday
the world is in greater peril from those who tolerate or encourage evil than from those who actually commit it- Albert Einstein
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