Question

Now, a simple one, please give a try A teacher writes following 6 words on the board: cat, dog, has, max, dim, tag. She tells her 3 students A B and C, "I'll select one of these words and write its different letters in 3 pieces of paper." She mentally selected one word and wrote it's letters in 3 pieces of paper and gave them a paper each. Then she asked A, "You don't have to tell the word now, but can you guess the word?" A immediately said "Yes". When asked B thought for a moment and said Yes. C also thought and said Yes. Each was correct. What was the word?

Answer 1

Let's analyze the given information step by step to find out the word that the teacher selected:

1. The teacher wrote the following 6 words on the board: cat, dog, has, max, dim, tag.

2. The teacher then selected one word and wrote its letters on 3 pieces of paper, distributing one paper to each student.

3. Student A immediately said "Yes" when asked if they could guess the word. This means that the word cannot have any repeated letters because if it did, A would need more information to determine the word.

4. Student B thought for a moment and also said "Yes." This tells us that there must be a unique letter in the word that distinguishes it from the other words on the board.

5. Student C, after some thought, also said "Yes." This indicates that there must be another unique letter in the word that differentiates it from the other words.

Based on this information, we can conclude that the word the teacher selected is "max." It is the only word among the options that has all unique letters (m, a, x), and the presence of the letter 'm' and 'a' in the word allows students A, B, and C to correctly guess it.

Therefore, the word selected by the teacher is "max."