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?

Albert Andrews arrived in his Audi
Bert Brown brought his BMW
Cuthbert Cooper came in his Cadillac

I came to this conclusion by trial and error. If you assume Mr Cooper drove the Audi and go through the other clues based on that then you get a contradiction. If you assume Mr Cooper drove the BMW you again get a contradiction. Therefore Mr Cooper must have drove the Cadillac. From this you can obtain all the other information.

a. Cuthbert didn't drive the BMW
b. Albert didn't drive the Cadillac and isn't Mr. Cooper
d. Bert isn't Mr Andrews
e. Albert isn't Mr Brown - therefore Albert must be Mr Andrews
f. Cuthbert isn't Mr Brown - therefore Bert must Mr Brown leaving Cuthbert to be Mr Cooper who drove the Cadillac.
c. Mr Andrews didn't drive the BMW - therefore Albert Andrews drove the Audi leaving Bert Brown driving the BMW

Posted by Lisa on 2005-07-03 15:55:02