Tantalizer 426: Drawing conclusions
26 June 2019
Posted by on
From New Scientist #977, 27th November 1975 [link]
Those aspiring architects Matthew, Mark, Luke and John were discussing the design test they had taken the week before. The results were not yet public, but there had, of course, been leaks.
Matthew summed the position up: “We all know that there were seven candidates, exactly four of whom passed. None of us here knows how any of the absent candidates fared. None of us yet knows whether he himself passed or failed. Each of us here knows the result of each of the other three present”.
“That is interesting”, said Mark, “and your final sentence is news to me. But I still do not know whether I passed”.
“Matthew’s final sentence was news to me too”, Luke said presently, “but even now I too cannot work out whether I passed”.
On being told that they are bright lads and have deduced all they can, you can discover one result. Whose and what?