Which of the following promotions are supported out of the box by the promotion engine...

The promotion engine in SAP Commerce Cloud supports various types of promotions out of the box, including:

Buy over 500 dollars, get any product in category A at 20% off: A threshold-based discount on a specific category.

If a user buys 100 dollars worth of category A products, then they get a free gift of a specified product: A threshold-based gift promotion.

When a user buys 100 dollars worth of category X products and 100 dollars worth of category Y products, then they get 50% off category Z products: A combination threshold-based discount.

For more information, refer to the SAP Commerce Cloud documentation: Promotion Engine.