Step 1: Analysis of statement A.
Eutrophication from excess nutrients triggers algal blooms. These blooms, upon dying, are decomposed by bacteria, depleting dissolved oxygen and causing hypoxia or anoxia. The statement is therefore incorrect.
Step 2: Analysis of statement B.
Algal blooms are a key sign of eutrophication, indicating a lake's poor health, which frequently results in fish kills and biodiversity loss. Consequently, the statement is incorrect.
Step 3: Analysis of statement C.
Eutrophic lakes are nutrient-rich and highly productive, generating abundant organic matter (e.g., dead algae) that requires decomposition. This decomposition process consumes substantial oxygen, resulting in a high Biochemical Oxygen Demand (BOD). The statement is correct.
Step 4: Analysis of statement D.
Oligotrophic lakes are nutrient-poor and have low biological productivity. With little organic matter to decompose, they exhibit very low BOD. The statement incorrectly claims they have high BOD compared to eutrophic lakes. The statement is thus incorrect.