List of top Database Management Systems Questions on Relational Model

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