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The negation of the statement: ''Getting...

The negation of the statement: ''Getting above `95%` marks is necessary condition for Hema to get the admission in 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

Text Solution

Verified by Experts

The correct Answer is:
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 rarr q`
Negation of `(p rarr q)` is `( p ^^ ~ q)`
or `(~q ^^ p)`
`:.` Negation of the above statement is Hema does not get above 95% marks and she gets admission in good college.
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