Final answer:
The conditions associated with a bluish color of the mucous membranes are Methemoglobinemia and Cardiopulmonary disease due to issues with oxygen delivery or abnormal hemoglobin function.
Step-by-step explanation:
Conditions associated with a bluish color of the mucous membranes primarily involve situations where there is either a lack of oxygen in the blood or an abnormality in hemoglobin function. The correct answer to the question asked is Methemoglobinemia. This condition involves an increase in the form of hemoglobin that is unable to release oxygen effectively to body tissues, thereby causing a bluish coloration known as cyanosis. Cardiopulmonary disease can also lead to similar symptoms due to reduced oxygenation of the blood. The other conditions listed—Edema, Diabetes mellitus, and Hemochromatosis—are not directly associated with a bluish color of mucous membranes. Instead, Hemochromatosis may cause a bronze or gray color to the skin, and Diabetes mellitus can lead to a range of skin color changes, but not typically blue.