GATE CE 2021 Set 1 — Question 6
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
Statement: Either P marries Q or X marries Y
Among the options below, the logical NEGATION of the above statement is:
Among the options below, the logical NEGATION of the above statement is:
Correct answer
(B) Neither P marries Q nor X marries Y.
Solution
The given statement is of the form , where:
: P marries Q
: X marries YThe logical negation of a disjunction is given by De Morgan's Law as .In words:
: P does not marry Q
: X does not marry Y
: P does not marry Q AND X does not marry Y, which is equivalent to "Neither P marries Q nor X marries Y".Thus, option (B) is the correct negation.
: P marries Q
: X marries YThe logical negation of a disjunction is given by De Morgan's Law as .In words:
: P does not marry Q
: X does not marry Y
: P does not marry Q AND X does not marry Y, which is equivalent to "Neither P marries Q nor X marries Y".Thus, option (B) is the correct negation.
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