gradeup quiz question

Question

please explain the question

Answer 1

(C) is correct.

R1(ABC) with dependency {AB → C, C → A} 

and

R2(CDA) with dependency {C → A, C → D}

Therefore, R1 is not BCNF decomposition because of C → A dependency.

Answer 2

Option C will be the answer. if we decompose into CD, CA and ABC to make it into BCNF then will get lossy decomposition due to the common attributes AC is not the key.