NPR Sunday Puzzle (Dec 2, 2018): Let’s Investigate This Fully

Q: Think of a common 7-letter word. Drop its second letter, and you’ll get a 6-letter word that does not rhyme with the first. Alternatively, you can drop the third letter from the 7-letter word to get a 6-letter word that doesn’t rhyme with either of the first two. Further, you can drop both the second and third letters from the 7-letter word to get a 5-letter word that doesn’t rhyme with any of the others. What words are these?

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