This question uses the three predicates, Parent$($x$,$y$),$ Ancestor$($x$,$y$),$ and Gandhi$($x$),$ whose arguments are persons:

Parent$($x$,$y$)$ represents x has a parent y

Ancestor$($x$,$y$)$ represents x is an ancestor of y

Gandhi$($x$)$ represents x is in the Gandhi family.

Which of the following logical expressions correctly expresses the English sentence :

$$There is a Gandhi family member who is a common ancestor of both Rajeev and Sanjay.$$