If F stands second in the ranking, then the position of B is

Correct Option (3)

: Fifth

The problem provides a set of conditions governing the ranking of individuals (A, B, C, D, E, F). We are asked to determine the position of B, given that F stands second in the ranking.

Let's deduce the complete ranking based on the given information:

• "Either C or F scores the highest." Since F is stated to be second, C must be the highest scorer. Thus, C > F.
• "If C scores the highest, then E scores the least." As C is the highest scorer, E must be the lowest scorer.
• We are given the following direct comparisons: D > A, A > B, and C > A.
• Combining these, we have a sequence D > A > B.
• Integrating all deductions: C is first, F is second. E is last. The sequence D > A > B must fit between F and E.
• The complete ranking is therefore: C (1st) > F (2nd) > D (3rd) > A (4th) > B (5th) > E (6th).

Based on this derived ranking, B's position is fifth.

Incorrect Options:

Options 1 (Third), 2 (Fourth), and 4 (Sixth) are incorrect because, as established by the logical deduction from the given conditions, B occupies the fifth position in the ranking. The derived sequence C > F > D > A > B > E clearly places B at the fifth rank, making any other position inconsistent with the problem's constraints.