Six students A, B, C, D, E and F appeared in several tests. Either C or F scores the highest. Whenever C scores the highest, then E scores the least. Whenever F scores the highest, B scores the least.

In all the tests they got different marks; D scores higher than A, but they are close competitors; A scores higher than B; C scores higher than A.

Question:  If E is ranked third, then which one of the following is correct?

The correct option is: C gets more marks than E.

Let us break down the information given in the question step-by-step to find the correct ranking of the six students (A, B, C, D, E, and F):

Step 1: Analyze the conditions for the highest and lowest ranks
1. Either C or F scores the highest (Rank 1).
2. If C is Rank 1, then E must be the lowest (Rank 6).
3. If F is Rank 1, then B must be the lowest (Rank 6).

Step 2: Apply the given condition (E is ranked third)
We are given that E is ranked 3rd. Since E is 3rd, E cannot be ranked 6th (lowest).
This means the condition "If C is Rank 1, E is Rank 6" cannot be true. Therefore, C cannot be Rank 1.
Consequently, F must be Rank 1, which in turn means B must be Rank 6 (lowest).

Step 3: Analyze the relative marks of the remaining students
We have the following constraints for the remaining students (A, C, and D):
1. D scores higher than A (D > A). Since they are "close competitors", D and A must be adjacent in ranks with no other student between them (D is immediately above A).
2. C scores higher than A (C > A).
3. A scores higher than B (A > B), which is already satisfied since B is Rank 6.

Currently, the known ranks are:
- Rank 1: F
- Rank 2: [Vacant]
- Rank 3: E
- Rank 4: [Vacant]
- Rank 5: [Vacant]
- Rank 6: B

The vacant ranks (Rank 2, Rank 4, and Rank 5) must be occupied by C, D, and A. Since both C and D are ranked higher than A, A must occupy the lowest available rank among the three, which is Rank 5.
Because D and A are close competitors (adjacent), D must occupy Rank 4.
This leaves Rank 2 for C.

Step 4: Final Rank List
- Rank 1: F
- Rank 2: C
- Rank 3: E
- Rank 4: D
- Rank 5: A
- Rank 6: B

Comparing the ranks of C and E, C is ranked 2nd and E is ranked 3rd. Thus, C scored higher than E, which matches the option C gets more marks than E.