The correct answer is A) Ballasting or cleaning of fuel oil tanks. The Oil Record Book is required to be maintained on vessels to document certain operations related to oil handling and management. Ballasting or cleaning of fuel oil tanks is one of the specific operations that must be recorded in the Oil Record Book, as per the regulations governing oil record keeping. The other options are not required to be logged in the Oil Record Book, as they are not directly related to the handling or management of oil or oily mixtures. Daily inspection of engine room bilges and changing of sprayer plates are routine machinery space operations, while shifting suction of the main fuel pump is not an oil-specific activity.