Which of the following statements are correct? Mark all that are correct.

1. A shadow director must exercise his powers for the proper purpose.
2. An alternate director is obliged to act honestly in the discharge of the duties of his office at all times.
3. A nominee director owes his primary duty to the company on whose board he sits and not to the person who appoints him.
4. A person who controls the board of directors is considered to be a fiduciary of the company.
5. All directors are obliged to display a reasonable degree of skill in the discharge of the duties of their office.

Note: With context of Singapore Law, with regards to Company Law.