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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.
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