NPTEL Introduction to Database Systems Week 8 Assignment Answers 2025
1. Consider the following statements:
S1: All normal-forms are defined using functional dependencies.
S2: Normalization is a top-down process to deal with redundancy in data representation.
Choose the correct option:
- S1: True; S2: True
- S1: True; S2: False
- S1: False; S2: False
- S1: False; S2: True
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2. Fill in the blanks:
S1: An attribute of a relation schema R is called a prime-attribute of R if it is a member of some _ _ _ _ _ of R.
S2: An attribute of a relation schema R is called a non-prime-attribute of R if it is NOT a member of any _ _ _ _ of R
- S1: Candidate-key; S2: Candidate-key
- S1: Candidate-key; S2: Super-key
- S1: Super-key; S2: Candidate-key
- S1: Super-key; S2: Super-key
Answer :-
3. Consider a relation R(A, B, C, D, E, F, G) and the following FDs:
{AB → CD, AF → D, DE → F, C → G, F → E, G → A}. Find out {C , F }+ :
- {C, F}
- {C, F, G, E}
- {C, F, G, E, A}
- {C, F, G, E, A, D}
Answer :-
4. Consider a relation R(A, B, C, D, E, F) and the given FDs
{AB → C, C → D, B → E, DE → F, F → AB}.
Choose the incorrect option:
- AB is a candidate key of R
- F is a candidate key of R
- BC is a candidate key of R
- CD is a candidate key of R
Answer :-
5. Consider a relation R(part_no, part_description, part_price, supplier_id, supplier_address).
The following FDs hold on R:
part_no → part_description supplier_id → supplier_address {part_no, supplier_id} → part_price
Find the candidate key of relation R:
- part_no
- supplier_id
- {supplier_id, part_no}
- None of the above
Answer :-
6. Consider the relation given in the Question 5, and find out which of the following statement is TRUE about R:
- R is in 1NF only
- R is in 2NF but not in 3NF
- R is in 3NF but not in BCNF
- R is in BCNF
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7. Consider the following statements:
S1: A relation in which every key contains only one attribute is in 2NF.
S2: In a 3NF relation, a non-key attribute may be transitively dependent on the primary key.
Choose the correct option:
- S1: True; S2: True
- S1: False; S2: True
- S1: False; S2: False
- S1: True; S2: False
Answer :-
8. Consider a relation R(A, B, C, D, E, F, G) and the FD set
F1 = {B → ACD, DE → F, F → D, E → FGB, BCG → CE, EG → CD}.
Let F’ be a minimal cover of F1. Find out the incorrect statement about F’ :
- F’ contains F → D
- F’ does not contain DE → F
- F’ does not contain EG → CD
- F’ does not contain BG → E
Answer :-
9. Consider a relation R(A, B, C, D, E, F) and the FD set given below
F1 = { AB → C, B → D, D → E, AE → F, C → A }
Choose the correct option:
- R is in 2NF, but not in 3NF
- R is not in 2NF
- R is in 3NF, but not in BCNF
- R is in BCNF
Answer :-
10. Consider the decomposition of a relation R(A, B, C) into two relations R1(A, B) and R2(B, C) and the given instances of R, R1, and R2. Suppose FD set for R is :{B → A, B → C}.What is TRUE with respect to the decomposition:

- Lossy; Dependency preserving
- Lossless; Dependency preserving
- Lossy; Not Dependency preserving
- Lossless; Not Dependency preserving
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