Discussion
Statement: Either P marries Q or X marries Y
Among the options below, the logical NEGATION of the above statement is:
Answer: B
The negation is Neither P marries Q nor X marries Y.
Read as 'P marries Q or X marries Y', the statement is true as soon as either marriage happens. Its negation must be true exactly when the statement is false, which is when neither happens: P does not marry Q and X does not marry Y.
The other options each assert that one of the marriages does take place, and so are compatible with the original statement rather than contradicting it. 'P marries Q and X marries Y' even makes the original statement true.
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