Three cars entered the parking lot at the same time, and the attendant isn't quite sure about whose car is which. However, he knows that:
a. Cuthbert drove the BMW if and only if Mr. Cooper drove the Audi.
b. Albert drove the Cadillac if and only if Mr. Cooper drove the BMW.
c. Cuthbert is Mr. Brown if and only if Mr. Andrews drove the BMW.
d. Bert is Mr. Andrews if and only if Cuthbert drove the BMW.
e. Mr. Cooper drove the Audi if and only if Albert is Mr. Brown.
f. Cuthbert is Mr. Brown if and only if Albert drove the Cadillac.
Who arrived in which car?
From the nature of IF AND ONLY IF logic, it is clear that if everybody uses the same first initial for first name, last name and car, there will be a valid solution, since all those logic statements involved people/cars with mixed first initials (Cuthbert driving a BMW, Albert as Mr. Brown, etc.) This is hinted at in the alliteration of the puzzle title "Complicated Cars Conundrum".
Albert Andrews drove the Audi
Bert Brown drove the BMW
Cuthbert Cooper drove the Cadillac
(A Visual Basic program proved that there are no other valid combinations)
Edited on October 20, 2007, 6:47 pm
Posted by Penny
on 2005-07-03 12:52:24