Question

Among six persons A, B, C, D, E, F who is the tallest? Statement (I): C is taller than only two persons, B is taller than A, and E is taller than only F.
Statement (II): A is shorter than two persons only, E is taller than F but shorter than C, C is shorter than A, and B is shorter than D.

• A. Statement (I) alone is sufficient.
• B. Statement (II) alone is sufficient.
• C. Both statements (I) and (II) are sufficient.
• D. Neither statement is sufficient.

Hint:

Always use rank slots (1st to 6th) to map the relationships given in ranking logic puzzles.

Answer 1

The Correct Option is B

Concept: We must order the six individuals from 1 (tallest) to 6 (shortest).

Step 1: Analyzing Statement (I) "C is taller than only two persons" means C is at rank 4. "E is taller than only F" means E is at rank 5 and F is at rank 6. Current order: [?, ?, ?, C, E, F]. "B is taller than A". They could occupy any of the first three spots in various configurations. We cannot definitively determine rank 1. Statement (I) is insufficient.

Step 2: Analyzing Statement (II) "A is shorter than two persons only" means A is at rank 3. "E is taller than F but shorter than C, C is shorter than A": F < E < C < A. Since A is 3rd, E, C, F must be in positions 6, 5, 4. Order: [Rank 1, Rank 2, A(3), C(4), E(5), F(6)]. "B is shorter than D" covers the remaining spots 1 and 2. D must be Rank 1, B must be Rank 2. D is the tallest. Statement (II) is sufficient. {D is the tallest}