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GATE | GATE-CS-2016 (Set 1) | Question 54

Let X be a recursive language and Y be a recursively enumerable but not recursive language. Let W and Z be two languages such that Y\' reduces to W, and Z reduces to X\' (reduction means the standard many-one reduction). Which one of the following statements is TRUE

(A)

W can be recursively enumerable and Z is recursive.

(B)

W an be recursive and Z is recursively enumerable.

(C)

W is not recursively enumerable and Z is recursive.

(D)

W is not recursively enumerable and Z is not recursive

Answer

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