Four pairs of lords and ladies all went to a royal ball. Each lord was wearing one color (yellow, red, blue, or green) and each lady was also wearing one of these colors. No couple was wearing the same color, so it was hard to tell who was married to who.

Using the clues, can you determine which lord is with which lady?

1. The Green Lord is with the Red Lady, if and only if the Yellow Lord is with the Blue Lady.

2. The Yellow Lord is with the Red Lady if and only if the Green Lord is with the Yellow Lady

3. The Red Lord is with the Blue Lady, if and only if the Green Lord is with the Red Lady.

(1) and (3) both refer to Green Lord with Red Lady but a different combination therefore making all of these statements false.

If we assume that (2) is true Yellow Lord/Red Lady and Green Lord/Yellow Lady then the only possible combinations left would be Blue Lord/Green Lady and Red Lord/Blue Lady (which we ruled out as a possiblity in both (1) and (3).

Since all statements appear to contradict each other, the combinatin left would be:

Yellow Lord/Green Lady
Green Lord/Blue Lady
Blue Lord/Red Lady
Red Lord/Yellow Lady

Posted by Lori on 2004-06-11 13:03:58