Question

Four friends, A, B, C, and D got the top four ranks in a test but A did not get the first, B did not get the second, C did not get the third, and D did not get the fourth. Who secured which rank?
I. Neither A nor D were among the first 2 ranks.
II. Neither B nor C was third or fourth.

• A. If the statement I alone is sufficient to answer the question.
• B. If the statement II alone is sufficient to answer the question.
• C. If the statements I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. If the statements I and II together are not sufficient to answer the question and additional data is required.

Hint:

When solving rank-based logic puzzles, use the process of elimination to narrow down the possibilities based on the given constraints.

Answer 1

The Correct Option is C

From the given conditions: - A did not get the first, so A can only be second, third, or fourth.
- B did not get the second, so B can only be first, third, or fourth.
- C did not get the third, so C can only be first, second, or fourth.
- D did not get the fourth, so D can only be first, second, or third.
Now, let's use the information from the clues:
- From condition I: Neither A nor D were among the first two ranks. Therefore, A and D must be in third and fourth ranks, and B and C must be first and second.
- From condition II: Neither B nor C was third or fourth, meaning B and C must occupy the first and second ranks. Since A cannot be first, A must be second. Therefore, B must be first and C must be second.
Thus, the ranks are:
- B secured the first rank.
- C secured the second rank.
- A secured the third rank.
- D secured the fourth rank.
The correct answer is \( \boxed{3} \).