IEnumerable introduces quite a number of extensions to it which helps you to pass your own delegate and invoking the resultant from the IEnumerable back. Most of them are by nature of type Func
The Func takes an argument T and returns TResult.
In case of
Where - Func : So it takes IEnumerable of T and Returns a bool. The where will ultimately returns the IEnumerable of T's for which Func returns true.
So if you have 1,5,3,6,7 as IEnumerable and you write .where(r => r<5) it will return a new IEnumerable of 1,3.
Any - Func basically is similar in signature but returns true only when any of the criteria returns true for the IEnumerable. In our case, it will return true as there are few elements present with r<5.
Exists - Predicate on the other hand will return true only when any one of the predicate returns true.
So in our case if you pass .Exists(r => 5) will return true as 5 is an element present in IEnumerable.