Consider two Statements and a Question:

Statement-1: Each of A and D is heavier than each of B, E and F, but none of them is the heaviest.

Statement-2: A is heavier than D, but is lighter than C.

Question: Who is the heaviest among A, B, C, D and E?

Which one of the following is correct in respect of the Statement and the Question?

Correct Answer: Both Satement-1 and Statement -2 are required to answer the Question.

Step-by-Step Explanation:

Let us analyze the given statements step-by-step to determine who is the heaviest among the five individuals: A, B, C, D, and E (and note F is also mentioned in the statement context).

1. Analyzing Statement-1:

"Each of A and D is heavier than each of B, E and F, but none of them is the heaviest."

From Statement-1, we know:

- A > B, E, F

- D > B, E, F

- Neither A nor D is the heaviest person overall.

Since A and D are heavier than B, E, and F, the heaviest person cannot be B, E, or F. Also, Statement-1 states that neither A nor D is the heaviest. Therefore, the heaviest person must be someone else (e.g., C).

However, Statement-1 alone does not give the complete relation between C, A, and D directly, nor does it confirm the exact presence/role of C without additional context. Thus, Statement-1 alone is not sufficient to uniquely determine the relative order or confirm C is in the group beyond elimination.

2. Analyzing Statement-2:

"A is heavier than D, but is lighter than C."

From Statement-2, we get the ordering:

$C>A>D$

This tells us C is heavier than A and D. However, Statement-2 gives no information about B, E, or F. Therefore, Statement-2 alone cannot rule out whether B or E might be heavier than C.

3. Combining Statement-1 and Statement-2:

From Statement-1: A and D are both heavier than B, E, and F. Thus, B, E, and F are all lighter than A and D.

From Statement-2: C is heavier than A (and D).

Combining both statements gives the relation:

$C>A>D>\{B,E,F\}$

Thus, C is definitely the heaviest among all of them.

Therefore, both Statement-1 and Statement-2 are required to answer the Question.