Data Sufficiency — Ordering by weight: Among T, V, B, E and C, who is third from the top (heaviest to lightest)? Statement I: B is heavier than T and C, and lighter than V; V is not the heaviest. Statement II: C is heavier than only T. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.

Difficulty: Medium

Statement I alone is sufficient, but Statement II alone is not sufficient.
Statement II alone is sufficient, but Statement I alone is not sufficient.
Both statements I and II together are sufficient, but neither alone is sufficient.
Either statement I or statement II alone is sufficient.
Even both statements I and II together are not sufficient.

Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.

Explanation:

From Statement II
Ascending: T < C < (others).

Add Statement I
B > T and C; V > B; V is not the heaviest ⇒ E must be the heaviest.Thus the full descending order is: E > V > B > C > T.

Answer
Third from the top = B.

Final Conclusion
Both statements I and II together are sufficient, but neither alone is sufficient.

Discussion & Comments

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