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If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

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If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
posted Dec 15, 2015 by Nimish

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A party host says to two strangers Abby and Barry, “Each of you knows which day of the week you were born on, but not the day of the week the other was born on. But I can tell you that Barry was not born on Monday, and you were born one day apart (on consecutive days).”

He then asks Abby and Barry alternately if either can deduce the day of the week the other person was born on.

Abby: “No.”
Barry: “No.”
Abby: “No.”
Barry: “No.”
Abby: “No.”
Barry: “Yes!”

What day of the week was Abby born on? Can you deduce the day of the week for Barry?

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