(a) As guardian, receiver, trustee, committee or conservator of the estate of any minor, mentally ill person, mentally retarded person, person of unsound mind, alcohol abuser or conservatee or in any other fiduciary capacity;

(b) As receiver, trustee, or committee of the property or estate of any person in insolvency or bankruptcy proceedings. 4. To be appointed and to accept the appointment of executor or of trustee under the last will and testament or administrator with or without the will annexed of the estate of any deceased person. 5. To take, accept and execute any and all such trusts, duties and powers of whatever nature or description as may be conferred upon or entrusted or committed to it by any person or persons, or any body politic, corporation, domestic or foreign, or other authority by grant, assignment, transfer, devise, bequest or otherwise, or which may be entrusted or committed or transferred to it or vested in it by order of any court of competent jurisdiction, or any surrogate, and to receive, take, manage, hold and dispose of according to the terms of such trust, duty or power, any property or estate, real or personal, which may be the subject of any such trust, duty or power. Provided that no trust company shall have any right or power to make any contract, or to accept or execute any trust whatever, which it would not be lawful for any individual to make, accept or execute.