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Question

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.

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