If (1, 2, 3) represents "These are boys", (1, 3, 4) represents "Boys are naughty" and (1, 4, 5) represents "Naughty boys play" Then which number represents "Naughty"?

Question

Accepted Answer

To determine which number represents "Naughty," we need to analyze the given statements and their corresponding number sets:

1. (1, 2, 3) represents "These are boys."
2. (1, 3, 4) represents "Boys are naughty."
3. (1, 4, 5) represents "Naughty boys play."

Let's break down the information:

- The word "boys" appears in all three statements, which means it is represented by the number common to all three sets. The number 1 appears in all three sets, so "boys" is represented by 1.

- The word "naughty" appears in the second and third statements. The common number between the sets (1, 3, 4) and (1, 4, 5) is 4. Therefore, "naughty" is represented by the number 4.

Now, let's explain why each option is correct or incorrect:

1. Option 1 (Number 1): This number represents "boys," as it is common to all three sets. Therefore, it cannot represent "naughty."

2. Option 2 (Number 3): This number appears in the first and second sets, which correspond to "These are boys" and "Boys are naughty." Since "naughty" is not in the first statement, number 3 cannot represent "naughty."

3. Option 3 (Number 4): This number appears in the second and third sets, which correspond to "Boys are naughty" and "Naughty boys play." Since "naughty" is present in both these statements, number 4 correctly represents "naughty."

4. Option 4 (Number 5): This number appears only in the third set, which corresponds to "Naughty boys play." Since "naughty" is also in the second statement, number 5 cannot represent "naughty."

Therefore, based on the analysis, Option 3 is the correct answer, as number 4 represents "naughty."