Preheat your oven to 350°F (175°C). Grease and flour a baking pan.
In a large mixing bowl, combine the applesauce, sugar, and vegetable oil. Mix well.
Add the eggs one at a time, beating well after each addition.
In another bowl, sift together the flour, baking soda, cinnamon, cloves, and nutmeg.
Gradually add the dry ingredients to the applesauce mixture, mixing just until combined.
Pour the batter into the prepared baking pan.
Bake for 45 minutes or until a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then turn out onto a wire rack to cool completely.