Consider <M> be the encoding of a Turing Machine as a string over alphabet ∑={0,1}. Consider L={<M>|M is TM which halts on all the input and L(M) =L' for some undecidable language L′}.
Then L is
A
Recursive
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B
Undecidable and Recursively Enumerable
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C
Undecidable
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D
Decidable but Non-Recursive
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Solution
The correct option is A Recursive Since M is a TM that halts on all input. So, L(M) is decidable. So, L(M)≠L′. Hence, it will be recursive too.