Section 57A. Each application for a license as an operator of hoisting machinery not run by steam shall be made upon a blank furnished by the division of professional licensure, signed and sworn to by the applicant, and shall show the total experience of the applicant. Each such application for a license for operating hoisting machinery not run by steam shall be accompanied by an examination fee to be determined annually by the commissioner of administration under the provision of section 3B of chapter 7. Each such application shall entitle the applicant to one examination only, except in case of an appeal under section 66A; provided, however, that no person shall make application hereunder for a license of any particular class oftener than once in 60 days. The fee for an examination on appeal shall be determined annually under the aforementioned chapter 7 provision.