The puzzle is as follows:
4 couples attended a magazine opening celebration party. These couples danced among themselves, all at the same time, to a disco suite, a pop ballad, a jazz tune and a waltz. Upon leaving the party the girls commented:
Natalie: I enjoyed dancing to a pop ballad with Rudy, then to a disco suite with Paul.
Patty: While I was dancing to a pop ballad with Danny, he kissed me.
Katherine: When I was dancing to a jazz tune with Tony, we bumped into each other.
Beatrice: I will never dance again to a jazz tune with Rudy.
Who danced to a waltz with Katherine and Beatrice?
The alternatives given in my book are as follows:
- Danny - Rudy
- Paul - Danny
- Paul - Rudy
- Danny - Paul
- Tony - Paul
I found this problem in my Reason and Logic book from 2000s under the topic of logical deduction. From its style it looks to be an adaptation from a reprinted copy of Martin Gardner's 70's book of Puzzle carnival.
My attempt to solve this problem relied on using a logic grid. Such approach seems problematic, as one sentence in the puzzle indicates that all danced among themselves, all at the same time which it makes it difficult to fill in a logic grid. Here if Beatrice dances the disco with Danny, that doesn't mean no one else can dance with Danny, or that no one else can dance the disco. This means it is more difficult to eliminate options.
Can this problem be solved using the logic grid approach? Please provide a picture driven explanation. This would be of much better help to me than just a set of statements, as in this peculiar situation I understanding a straightforward answer.