HONG KONG — Three people were killed and 15 others were injured in a knife attack at a supermarket in Shanghai on Monday evening, local police said, in the latest of a series of such stabbings in China.

All of the victims were immediately sent to the hospital for treatment; three of them died despite rescue efforts, the Shanghai Public Security Bureau said in a statement Tuesday. The others are not in life-threatening condition.

A 37-year-old suspect, surnamed Lin, was apprehended at the…