perplexus.info :: Logic : Word Wangle II

Word Wangle II (Posted on 2022-04-09)

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?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): That which Bentley could have

| Comment 12 of 13 |

(In reply to re: That which Bentley could have by Kenny M)

Ok then, some further invigoration :-).

I didn't understand your argument. If Abner was able to reply "Yes" immediately because he was holding a letter that belonged to only one word, why wouldn't Bentley be able do the same? (E.g. Say Bentley held an H or an S).

Why would Abner's announcement affect Bentley's immediate certainty? Are you saying Bentley has gotten confused somehow?

Posted by Steven Lord on 2022-04-10 23:02:08

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