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UGC-NET | UGC NET CS 2015 Jun - II | Question 8
“If my computations are correct and I pay the electric bill, then I will run out of money. If I don’t pay the electric bill, the power will be turned off. Therefore, if I don’t run out of money and the power is still on, then my computations are incorrect.”
Convert this argument into logical notations using the variables c, b, r, p for propositions of computations, electric bills, out of money and the power respectively. (Where ¬ means NOT)
(A)
if (c Λ b)→r and ¬b→p, then (¬r Λ p)→¬c
(B)
if (c ∨ b)→r and ¬b→¬p, then (r Λ p)→c
(C)
if (c Λ b)→r and ¬p→b, then (¬r ∨ p)→¬c
(D)
if (c ∨ b)→r and ¬b→¬p, then (¬r Λ p)→¬c
Answer
Please comment below if you find anything wrong in the above post
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