The solutions to these puzzles have always bothered me. They rely on using a word in the sense of describing that particular word, rather than its usual sense.
For example, if I talk about a sign reading "Dog and Duck", I can say it contains the word 'dog', and the word 'duck'. I'm not actually talking about a dog or a duck - I'm talking about the words, which are really just symbols in this context.
So in order to solve the puzzle "Create a sentence containing five consecutive 'and's", I might just as well come up with something like the following:
An unusually inept signwriter accidentally erected a sign reading "and and and and and".
Doesn't sound as clever as the more traditional solution, but it's just as valid. Or invalid.