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A student want to prove a relation between the “gradeup” and “gaterank”. If he prove that gradeup is reducible to “gaterank” and “gaterank” is decidable then which of the following is true? (Assume gradeup & gaterank are two problems)
  • a)
    gradeup is decidable
  • b)
    gradeup need not decidable
  • c)
    gradeup is undecidable
  • d)
    Information is not sufficient
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A student want to prove a relation between the “gradeup” a...
gradeup ≤ gaterank and
gaterank is decidable.
If gaterank is decidable, then gradeup is also decidable.
So option (a) is correct.
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Most Upvoted Answer
A student want to prove a relation between the “gradeup” a...
Proof Explanation:
Gradeup is reducible to Gaterank means that if we have an algorithm to solve the Gaterank problem, we can use it to solve the Gradeup problem as well. This implies that if Gaterank is decidable, then Gradeup must also be decidable.

Explanation of Correct Answer:
The correct answer is option 'A' - gradeup is decidable. This is because if we have a reduction from gradeup to gaterank and gaterank is decidable, then gradeup must also be decidable.

Reasoning:
- If gaterank is decidable, it means there exists an algorithm that can determine the gaterank of a student.
- Since gradeup is reducible to gaterank, we can use the algorithm for gaterank to solve gradeup as well.
- Therefore, if gaterank is decidable, gradeup must also be decidable.

Conclusion:
Based on the given information and the relationship between gradeup and gaterank, we can conclude that gradeup is decidable.
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A student want to prove a relation between the “gradeup” and “gaterank”. If he prove that gradeup is reducible to “gaterank” and “gaterank” is decidable then which of the following is true? (Assume gradeup & gaterank are two problems)a)gradeup is decidableb)gradeup need not decidablec)gradeup is undecidabled)Information is not sufficientCorrect answer is option 'A'. Can you explain this answer?
Question Description
A student want to prove a relation between the “gradeup” and “gaterank”. If he prove that gradeup is reducible to “gaterank” and “gaterank” is decidable then which of the following is true? (Assume gradeup & gaterank are two problems)a)gradeup is decidableb)gradeup need not decidablec)gradeup is undecidabled)Information is not sufficientCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A student want to prove a relation between the “gradeup” and “gaterank”. If he prove that gradeup is reducible to “gaterank” and “gaterank” is decidable then which of the following is true? (Assume gradeup & gaterank are two problems)a)gradeup is decidableb)gradeup need not decidablec)gradeup is undecidabled)Information is not sufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student want to prove a relation between the “gradeup” and “gaterank”. If he prove that gradeup is reducible to “gaterank” and “gaterank” is decidable then which of the following is true? (Assume gradeup & gaterank are two problems)a)gradeup is decidableb)gradeup need not decidablec)gradeup is undecidabled)Information is not sufficientCorrect answer is option 'A'. Can you explain this answer?.
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