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Consider the table R with attributes A, B and C. The functional dependencies that hold on R are : A → B, C → AB. Which of the following statements is/are true?
  1. The decomposition of R into R1(C, A) and R2(A, B) is lossless.
  2. The decomposition of R into R1(A, B) and R2(B, C) is lossy.
  • a)
    Only 1
  • b)
    Only 2
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the table R with attributes A, B and C. The functional depend...
→ B, B → C, and A → C.

This means that A uniquely determines B, B uniquely determines C, and A uniquely determines C.

For example, if we know the value of A for a tuple in R, we can determine the value of B and C for that same tuple. Similarly, if we know the value of B for a tuple in R, we can determine the value of C for that same tuple.

This set of functional dependencies also implies that there are no other functional dependencies that hold on R. For example, we cannot say that B determines A or C determines B.
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Community Answer
Consider the table R with attributes A, B and C. The functional depend...
Decomposition of R into R1(C, A) and R2(A, B) is lossless.
Because C → A, A → B, so C → AB can be derived and there is no loss.
Decomposition of R into R1(A, B) and R2(B, C) is lossy.
Because A → B, C → B are derived but we can't derive C → AB, so it is lossy.
So, option (3) is correct.
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Consider the table R with attributes A, B and C. The functional dependencies that hold on R are : A →B, C →AB. Which of the following statements is/are true? The decomposition of R into R1(C, A) and R2(A, B) is lossless. The decomposition of R into R1(A, B) and R2(B, C) is lossy.a)Only 1b)Only 2c)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer?
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Consider the table R with attributes A, B and C. The functional dependencies that hold on R are : A →B, C →AB. Which of the following statements is/are true? The decomposition of R into R1(C, A) and R2(A, B) is lossless. The decomposition of R into R1(A, B) and R2(B, C) is lossy.a)Only 1b)Only 2c)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. 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 Consider the table R with attributes A, B and C. The functional dependencies that hold on R are : A →B, C →AB. Which of the following statements is/are true? The decomposition of R into R1(C, A) and R2(A, B) is lossless. The decomposition of R into R1(A, B) and R2(B, C) is lossy.a)Only 1b)Only 2c)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. 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 Consider the table R with attributes A, B and C. The functional dependencies that hold on R are : A →B, C →AB. Which of the following statements is/are true? The decomposition of R into R1(C, A) and R2(A, B) is lossless. The decomposition of R into R1(A, B) and R2(B, C) is lossy.a)Only 1b)Only 2c)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'C'. Can you explain this answer?.
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