propositional logic

Question

Which of the following are equivalent to the proportional statement?
“Abdul does not own a car”
I)~∃x (owns(Abdul,x)∧Car(x) )
II)∀x (owns(Abdul,x)∧Car(x) )
III) ∀x (~owns(Abdul,x)∧~Car(x) )
IV) ∃x (owns(Abdul,x)∧~Car(x) )

Comments

1 and 4

Answer 1

Answer is I)

 

Nearest English translation of given options will be.

I. Abdul doesn't own a car

II. Abdul owns only cars

III. If Abdul doesn't own a vehicle that will not be a car

IV. Abdul owns at least one vehicle that is not a car

Comments

in answer 1 &3 is right