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Statement: Either P marries Q or X marries Y

Among the options below, the logical NEGATION of the above statement is:

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  1. P does not marry Q and X marries Y.
  2. Neither P marries Q nor X marries Y.
  3. X does not marry Y and P marries Q.
  4. P marries Q and X marries Y.

Answer (Detailed Solution Below)

Option 2 : Neither P marries Q nor X marries Y.
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Detailed Solution

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The correct answer is 'Neither P marries Q nor X marries Y.'

Key Points

  • Let's understand the meaning of the keyword 'Negation'.
    • Negation: the contradiction or denial of something.
  • Let's explore options:
    • ​Option 1 states that P does not marry Q which is a correct negation but it also states that X marries Y which is not a negation. Therefore, option 1 is incorrect.
    • Option 3 states that X does not marry Y which is a correct negation but it also states that P marries Q which is not a negation. Therefore, option 3 is incorrect.
    • Option 4 states that P marries Q and X marries Y, it is not a negation, therefore, option 4 is incorrect.
    • Option 3 states that neither P marries Q nor X marries Y, which is a correct negation. 
  • Thus, the correct answer is option 2.

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