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Which of the problems are unsolvable?

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Which of the problems are unsolvable?

(a) Halting problem

(b) Boolean Satisfiability problem

(c) Both (a) and (b)

(d) None of the mentioned
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The correct answer is (c) Both (a) and (b)

For explanation I would say: Alan turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist.
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