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Previous Year Question (PYQs)



If $f(x)=$ $x$ is my friend, and $p(x)=$ $x$ is perfect, then the correct logical translation of the statement “some of my friends are not perfect” is:





Solution

“Some” means there exists at least one person.

“my friends” means $f(x)$.

“not perfect” means $\neg p(x)$.

So, the statement becomes:

$\exists x(f(x)\land \neg p(x))$


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