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The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______ -

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Question

The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is ______

Options

  • Hema gets above 95% marks but she does not get admission to a good college.

  • Hema does not get above 95% marks and she gets admission to a good college.

  • If Hema does not get above 95% marks then she will not get admission to a good college.

  • Hema does not get above 95% marks or she gets admission to a good college.

MCQ
Fill in the Blanks

Solution

The negation of the statement: "Getting above 95% marks is a necessary condition for Hema to get admission in good college'' is Hema does not get above 95% marks and she gets admission to a good college.

Explanation:

p: Hema gets admission to a good college.

q: Hema gets above 95% marks.

∴ The statement is p → q

∼(p → q) ≡ p ∧ ∼q

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