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GATE 2015 [Set-2]
April 4, 2025
GATE 2015 [Set-2]
April 4, 2025
GATE 2015 [Set-2]
April 4, 2025
GATE 2015 [Set-2]
April 4, 2025

GATE 2015 [Set-2]

Question 34

Consider the following statements:

    I. The complement of every Turning decidable language is Turning decidable
    II. There exists some language which is in NP but is not Turing decidable
    III. If L is a language in NP, L is Turing decidable

Which of the above statements is/are True?

A
Only II
B
Only III
C
Only I and II
D
Only I and III
Question 34 Explanation: 
I. True.
Turing decidable language are recursive language which is closed under complementation.
II. False.
All language which is in NP are turing decidable.
III. True.
Correct Answer: D
Question 34 Explanation: 
I. True.
Turing decidable language are recursive language which is closed under complementation.
II. False.
All language which is in NP are turing decidable.
III. True.

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