The negation of the statement: "Getting above | vedclass

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(B) Let $P$ be the statement "Hema gets above $95 \%$ marks" and $Q$ be the statement "Hema gets admission in a good college".The statement "Getting a

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Hema does not get above $95 \%$ marks and she gets admission in a good college.

Vedclass · Answer

(B) Let $P$ be the statement "Hema gets above $95 \%$ marks" and $Q$ be the statement "Hema gets admission in a good college".The statement "Getting above $95 \%$ marks is a necessary condition for Hema to get admission in a good college" is equivalent to the implication $Q \implies P$.The negation of an implication $Q \implies P$ is given by $\sim(Q \implies P) \equiv Q \land \sim P$.Here,$Q$ is "Hema gets admission in a good college" and $\sim P$ is "Hema does not get above $95 \%$ marks".Therefore,the negation is: "Hema gets admission in a good college and she does not get above $95 \%$ marks."

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

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