Question

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

• A. Hema gets above 95% marks but she does not get the admission in good college
• B. Hema does not get above 95% marks and she gets admission in good college
• C. If Hema does not get above 95% marks then she will not get the admission in good college.
• D. Hema does not get above 95% marks or she gets the admission in good college.

Answer 1

Answer: (B)

We have,
Getting above $95\%$ marks is necessary condition for Hema to get the admission in good college.
Here, $p$ : Hema get the admission in good college
$q:$ Hema gets above $95\%$ marks
We know symbolic form of
$q$ is necessary condition for $p$ is
$p\to q$
Negation of $(p\to q)$ is $(p\wedge \sim q)$
or $(\sim q\wedge p)$
$\therefore$ Negation of the above statement is Hema does not get above $95\%$ marks and she gets admission in good college.