Q1

MCQ1 mark, −0.33

For two different persons $x$ and $y$ , the predicate $M(x, y)$ denotes that $x$ knows $y$ . Consider the following statement. There is a person who does not know anyone else, but that person is known by everyone else. Which one of the following expressions represents the above statement?

(A)

$(\exists y)(\forall x)((x \neq y) \rightarrow(M(x, y) \wedge \neg M(y, x)))$

(B)

$(\forall y)(\exists x)((x \neq y) \rightarrow(M(x, y) \wedge \neg M(y, x)))$

(C)

$(\exists y)(\exists x)((x \neq y) \rightarrow(M(x, y) \wedge \neg M(y, x)))$

(D)

$(\forall y)(\forall x)((x \neq y) \rightarrow(M(x, y) \wedge \neg M(y, x)))$

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