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Which of the following is true for the below given functional dependencies of the relation R(X, Y,Z,W) and S(X, Y, Z, W)?
R: {X → Y, XY → Z, W → XZ, Z → W}
S: {X → YZ, W → XY}
I. R ⊇ S
II. S ⊇ R
  • a)
    Only I
  • b)
    Only II
  • c)
    Both I and II
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is true for the below given functional dependen...
, Z -> W}
S: {X, Y -> Z}

A. Both R and S are in 1NF.
B. Both R and S are in 2NF.
C. R is in 1NF and S is in 2NF.
D. R is in 2NF and S is in 1NF.

The correct answer is C. R is in 1NF and S is in 2NF.

To determine the normal form, we need to check if each attribute is functionally dependent on the primary key.

In R, X and Z together determine W, so R is not in 1NF.

In S, X and Y together determine Z, so S is in 2NF.

Therefore, the correct answer is C. R is in 1NF and S is in 2NF.
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Community Answer
Which of the following is true for the below given functional dependen...
Check: R ⊇ S
X+ = {Y, Z, E}
∴ X → YZ
W+ = {W, X, Z, Y}
W → XY
Hence R is covering S, that is, R ⊇ S
Check: S ⊇ R
X+ = {X, Y, Z}
∴ X → Y
(XY)+ = {X, Y, Z}
∴ XY → Z
W+ = {W, X, Y, Z}
∴ W → XZ
Z+ = {Z}
Z → W, it cannot be determined by S
and hence, S cannot cover R, that is, S ⊇ R is false
Only I is correct.
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Which of the following is true for the below given functional dependencies of the relation R(X, Y,Z,W) and S(X, Y, Z, W)?R: {X → Y, XY → Z, W → XZ, Z → W}S: {X → YZ, W → XY}I. R ⊇ SII. S ⊇ Ra)Only Ib)Only IIc)Both I and IId)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Which of the following is true for the below given functional dependencies of the relation R(X, Y,Z,W) and S(X, Y, Z, W)?R: {X → Y, XY → Z, W → XZ, Z → W}S: {X → YZ, W → XY}I. R ⊇ SII. S ⊇ Ra)Only Ib)Only IIc)Both I and IId)None of theseCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following is true for the below given functional dependencies of the relation R(X, Y,Z,W) and S(X, Y, Z, W)?R: {X → Y, XY → Z, W → XZ, Z → W}S: {X → YZ, W → XY}I. R ⊇ SII. S ⊇ Ra)Only Ib)Only IIc)Both I and IId)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is true for the below given functional dependencies of the relation R(X, Y,Z,W) and S(X, Y, Z, W)?R: {X → Y, XY → Z, W → XZ, Z → W}S: {X → YZ, W → XY}I. R ⊇ SII. S ⊇ Ra)Only Ib)Only IIc)Both I and IId)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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