Propositional logic-AI

Answer – D (4)

Answer: B
Explanation:
It is given that,
f(x)=x is my friend
p(x) = x is perfect
statement: some of my friends are not perfect.
There exist is used for ‘some’. Outer most part contains ∃x.
In statement , condition is ‘not perfect’ . so, we get ^ p(x).
Finally we get, ∃x(f(x)∧⌐p(x))