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DM - Grand Test -Q5

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Which of the following is the negation of the statement, “For all odd primes there exists positive non-primes such that "

(a) For all odd primes there exists positive non-primes such that

(b) There exists odd primes such that for all positive non-primes

(c) There exists odd primes such that for all positive non-primes

(d) For all odd primes and for all positive non-primes

reshown Aug 31, 2020

Option C is correct.

Given :

“For all odd primes  there exists positive non-primes  such that "

Negation will be : There exists odd primes  such that for all positive non-primes

NOTE that : $\neg \exists x P(x) = \forall x \neg P(x) \newline \neg \forall x P(x) = \exists x \neg P(x)$

answered Sep 9, 2020 by (226,240 points)