List of top Database Management Systems Questions on Relational Model asked in GATE CS

Consider the following relational schema along with all the functional dependencies that hold on them. 
R1(A, B, C, D, E): { \( D \rightarrow E \), \( EA \rightarrow B \), \( EB \rightarrow C \) } 
R2(A, B, C, D): { \( A \rightarrow D \), \( A \rightarrow B \), \( C \rightarrow A \) } 
Which of the following statement(s) is/are TRUE?

The Lucas sequence Ln is defined by the recurrence relation: Ln = Ln−1 + Ln−2, for n ≥ 3, with L1 = 1 and L2 = 3. Which one of the options given is TRUE?
Consider a relation \(R(A, B, C, D, E)\) with the following three functional dependencies: \[ AB \rightarrow C, BC \rightarrow D, C \rightarrow E \] The number of superkeys in the relation is