Which of the following statements is false?

To identify the false statement, we must compare the definitions of 3NF and BCNF. In Third Normal Form (3NF), a relation is valid if for every non-trivial functional dependency X -> Y, either X is a superkey or Y is a prime attribute. This allows prime attributes to be transitively dependent on the key. In contrast, Boyce-Codd Normal Form (BCNF) is stricter: it requires all determinants to be superkeys, which effectively prevents transitive dependencies involving non-prime attributes. Based on standard database normalization theory and the GATE CS 2006 key, Option 3 is identified as the false statement because it contradicts these strict definitions regarding determinants and superkeys in BCNF.