can someone help me answer the following #Fsharp multiple choice questions along with explanations for each question please.

1. What type does F# infer for the expression fun x y -> x+y+"." ? Select one:

A. string -> string -> string

B.string * string -> string

C. Type error.

D. int -> int -> string

2. What type does F# infer for the expression fun xs -> List.map (+) xs ? Select one:

A. int list -> int -> int list

B. int list -> int list

C. Type error.

D. int list -> (int -> int) list

3. Which of the following does F# infer to have type string -> string -> string ? Select one:

A. fun x -> fun y -> x y "."

B. fun x y -> String.length x * String.length y

C. fun (x, y) -> x + y + "."

D. (+)

4. Which of the following does F# infer to have type (string -> string) -> string ? Select one:

A. fun f -> String.length (f "cat")

B. fun x y -> x + " " + y

C. fun f -> f (f "cat")

D. fun f -> f "cat"