Which set contains exactly two true statements?

Which set contains exactly two true statements?

• A. F1, F2, F6, F8
• B. F1, F3, F6, F7
• C. F1, F6, F7, F10
• D. F2, F3, F5, F9

Answer: (A)

This type of item hinges on consistency between what a statement claims and the actual number of true statements. To have exactly two true statements in a given set, the two statements that are true must both match the real total, while the others must assert a different total and come out false. In the option with F1, F2, F6, and F8, the two statements that line up with the true-count scenario are the ones that declare the total number of true statements to be two. Those become true, while F6 and F8, which would be claiming a different total, are false. So this set ends up with exactly two true statements. The other options don’t produce exactly two true statements: they either leave fewer than two statements matching the actual total or force more than two to match, creating a contradiction.

This type of item hinges on consistency between what a statement claims and the actual number of true statements. To have exactly two true statements in a given set, the two statements that are true must both match the real total, while the others must assert a different total and come out false.

In the option with F1, F2, F6, and F8, the two statements that line up with the true-count scenario are the ones that declare the total number of true statements to be two. Those become true, while F6 and F8, which would be claiming a different total, are false. So this set ends up with exactly two true statements.

The other options don’t produce exactly two true statements: they either leave fewer than two statements matching the actual total or force more than two to match, creating a contradiction.