If B scores the least, the rank of C will be

Correct Option

The problem states that B scores the least. Based on the given conditions, "If F scores highest, then B scores the least." Therefore, if B scores the least, F must score the highest. This establishes the following ranks:

• F: Rank 1 (Highest score)
• B: Rank 6 (Least score, assuming six individuals: A, B, C, D, E, F)

Additional given relationships are:

• C > A
• D > A
• A > B

Since A > B and B is the least scorer (Rank 6), A must be positioned immediately above B, making A Rank 5. The remaining individuals (C, D, E) must occupy Ranks 2, 3, and 4.

Given that C > A and D > A, both C and D must be ranked higher than A (i.e., among Ranks 2, 3, or 4). The exact relative positions of C, D, and E are not uniquely fixed by these inequalities, leading to multiple consistent arrangements. Two such arrangements, as implied by the problem's solution structure (F > E / C > D > A > B), are:

• Scenario 1: F > C > D > E > A > B. In this case, C holds Rank 2.
• Scenario 2: F > E > C > D > A > B. In this case, C holds Rank 3.

Both scenarios are consistent with all stated conditions. Consequently, the rank of C can be either second or third.

Incorrect Options

Options 1 (Second), 2 (Third), and 3 (Fourth) are incorrect because the rank of C is not uniquely determined to be a single position. The available information allows for two distinct possibilities for C's rank (second or third). Stating a single rank would be incomplete. Furthermore, C cannot be fourth, as C must rank higher than A, who is established as Rank 5.