Question

How many of these statements regarding populations are true?

1) Only one of these statements is true.
2) Two of these statements are true.
3) Three of these statements are true.
4) Four of these statements are true.
5) All five of these statements are true.

Answer 1

The statement "Two of these statements are true" is correct. (Option 2)

Step-by-step explanation:

Population statements can be evaluated based on the principle of logical reasoning. Let's analyze each option:

If only one statement is true, it contradicts itself because the statement itself is true.

If two statements are true, it creates a consistent scenario where the statement is true, and the number of true statements aligns with the statement itself.

If three or four statements are true, it contradicts the statement itself because it states that only two statements are true.

If all five statements are true, it contradicts the statement itself because it claims that only two statements are true.

Therefore, the only logically consistent option is that two of these statements are true. This type of logical problem often relies on self-reference and contradiction to arrive at the correct answer. (Option 2)