A teacher writes six words on a board:

              CAT  DOG  HAS  MAX  DIM   TAG

She gives three students Abner, Bentley, and Charlotte each a piece of paper with precisely one letter from one of the words, so that:

• Each student gets a different letter, and:
• All three students get a letter from the same word.

Then she asks, "Abner, do you know the word?"
Abner immediately replies "yes".
She then asks, "Bentley, do you know the word?"
Bentley thinks for a moment and replies "yes".
Then she asks Charlotte the same question.
Charlotte thinks for a short while and then replies "yes".
What is the word?