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The day before the day before yesterday is three days after Saturday what day is it today?

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The day before the day before yesterday is three days after Saturday what day is it today?
posted Mar 16, 2016 by anonymous

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If I said that in three days' time it would be a Thursday, I am sure that most of you would have no difficulty telling me that today was a Monday.

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Now let's tackle a similar question from The National Mathematics Contest (1991) Paper:

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