Correct Option (3)
Both Statement-1 and Statement-2 are required to answer the Question.
To determine the heaviest person among A, B, C, D, and E, both statements must be considered:
- From Statement-1: A is heavier than B, E, and F (A > (B, E, F)). Similarly, D is heavier than B, E, and F (D > (B, E, F)). The statement also specifies that neither A nor D is the heaviest among all individuals mentioned (A, B, C, D, E, F). This implies that another individual, specifically C within the context of the question, must be heavier than A and D. However, Statement-1 alone does not explicitly define the weight relationship between C and A or D.
- From Statement-2: C is heavier than A, and A is heavier than D (C > A > D). This establishes a clear hierarchical order for C, A, and D.
Combining both statements:
- Statement-2 provides the order C > A > D.
- Statement-1 indicates that A and D are heavier than B, E, and F.
By integrating these facts, the complete weight hierarchy can be deduced as C > A > D > (B, E, F). When considering only the individuals A, B, C, D, and E as specified in the question, C is definitively established as the heaviest. Therefore, both statements together are necessary and sufficient to answer the question.
Incorrect Options:
Statement-1 alone is insufficient because:
- It establishes that A and D are heavier than B, E, and F, and that A and D are not the heaviest. While this suggests C might be the heaviest among the given options (A, B, C, D, E), it does not provide a direct comparison or confirm C's weight relative to A or D. Without this explicit relationship, C's position as the absolute heaviest cannot be confirmed solely from Statement-1.
Statement-2 alone is insufficient because:
- It establishes the order C > A > D.
- However, Statement-2 provides no information regarding the weights of B or E. Consequently, it is impossible to determine the heaviest person among A, B, C, D, and E using only Statement-2.
Neither Statement-1 alone nor Statement-2 alone is sufficient, as individually they lack the complete information required to establish the definitive heaviest individual among A, B, C, D, and E.