Can a room be cooled by leaving the door of an electric refrigerator open ?

Explanation

No . When a refrigerator is working in a closed room with its door closed , it is rejecting heat from inside to the air in the room .So temperature of room increases gradually .
When the door of refrigerator is kept open , heat rejected by the refrigerator is kept open , heat rejected by the refrigerator to the room will be more than the heat taken by the refrigerature of room will increase at a slower rate compared to the first case .
Hence , a room cannot be cooled by leaving the door of an electric refrigerator open .