The board of law examiners has the authority to examine, or to cause to be examined, any school, college, junior college, or law school for the purpose of determining whether the standards of education and training required for admission to the bar are being maintained, and to exclude from the bar examination any person who was a student therein at the time any such educational institution is found to have been disqualified or of questionable reputation. The board of law examiners may exclude from the bar examination any person who was a student in any such educational institution if such educational institution refuses to allow the examination.