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Typology: Exercises
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Ques 1: The following functional dependencies are given: AB->CD, AF->D, DE->F, C->G , F->E, G->A Which one of the following options is false? A. CF+ = {ACDEFG} B. BG+ = {ABCDG} C. AF+ = {ACDEFG} D. AB+ = {ABCDFG} Ques 2: **In a schema with attributes A, B, C, D and E, following set of functional dependencies are given: A->B A->C CD->E B->D E-
A Which of the following functional dependencies is NOT implied by the above set?** A. CD->AC B. BD->CD C. BC->CD D. AC->BC Ques 3: From the following instance of a relational schema R(A, B, C), we can conclude that: A B C 1 1 1 1 1 0 2 3 2 2 3 2 A. A functionally determines B and B functionally determines C B. A functionally determines B and B does not functionally determine C C. B does not functionally determine C D. A does not functionally determine B and B does not functionally determine C Ques 4: Consider the following set F of functional dependencies: F={A BC, B C, A B, AB C}. Find the canonical cover. Ques 5 : Consider the following set of functional dependency on the scheme (A, B,C) A→BC, B→C, A→B, AB→C. The canonical cover for this set is:
A. A→BC and B→C B. A→BC and AB→C C. A→BC and A→B D. A→B and B→C Ques 6: A relation R2(A,B,C,D) having two FD sets FD1 = {A->B, B->C,A->C} and FD2 = {A->B, B->C, A->D}. Find the relation between FD1 and FD2. Ques 7 : Consider the following relation R = {A,C,D,E,H} and set of two functional dependencies F and G, F= {A→C, AC→D, E→AD, E→H}, G = {A→CD, E→AH}. Find out that F and G are equivalence set of not. Ques 8 : Let R = {A,B,C,D,E} and F= {B→CD, D→E, B→A, E→C, AD→B} A. is B→E is true? B. is B a key for R C. is AD is a candidate key for R Ques 9: Find all functional dependency in below requirements: Ques 10: Consider a relational scheme R with attributes A,B,C,D,F and the FDs A → BC, B → E, CD → EF Prove that functional dependency AD → F holds in R.