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

Options

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

B

Explanation

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 aboe 95% marks we know symbolic forms of
q is necessary condition for p is `pto q`
Negation of `(pto q)` is `(q ^^ ~q)` or `(~q ^^ p)`
`therefore` negation of the above statement is hema does not get aboe 95% marks and she gets admission in good college.