GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 44

Which of the following is not correct logical translation of the following statement ?

"If anyone cheats, everyone suffers."

(A) ∀y(∀x cheat(x) → suffer(y))
(B) ∀x (cheat(x) → ∀y suffer(y))
(C) ∀x∀y (cheat(x) → suffer(y))
(D) ∀y ∀x (cheat(x) → suffer(y))

Answer: (A)


∀y(∀x cheat(x) → suffer(y))

This is one way of saying “If everyone cheats, then everyone suffers.” .

Option (A) is false.

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