GATE CS 2014 Set 1 — Question 31
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Databases → Normalization → Candidate Keys from FDs
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Question
Consider the relation scheme and the set of functional dependencies on . What is the key for ?
Correct answer
(B) \E, F, H\
Solution
To find the candidate key, we look for attributes that are not on the right-hand side (RHS) of any functional dependency. These attributes must be part of any key.Attributes:
RHS Attributes:
Attributes NOT on RHS: Thus, the candidate key must contain . Let's check the closure of :
RHS Attributes:
Attributes NOT on RHS: Thus, the candidate key must contain . Let's check the closure of :
1.Start with .
2. add . Set: .
3. add . Set: .
4. add . Set: .
5. add . Set: .
6. add . Set: .
Since {E, F, H}+ includes all attributes of , is a candidate key.Continue learning with Success Tracker
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