Answer: It’s Edgar who took your best girlfriend out to the drive-in last night— and you’ve had it with him!

Harold is afraid to drive, so he couldn’t have gone alone. If George went with Harold, so did Edgar because George never goes anywhere without Edgar. If George didn’t go with Harold, it must have been Edgar who did. But suppose Harold didn’t go at all. Then if George went, so did Edgar. And if George didn’t go at all, then Edgar went alone!

The fact that Edgar has a nice nose is irrelevant—unless that’s why he’s your favorite (or was your favorite).