Answer
The correct answers are $b$ and $d$ .
Work Step by Step
We can lower the temperatures of the ball and plate by the same amount or cool the ball and heat the plate.
It depends on thermal expansion coefficient. This coefficient of the ball is greater than the one of the plate, so we conclude that ball will expand more on heating by the same amount. It also shrinks more than the plate when cooled by the same amount.
The second way is to cool the ball and heat the plate, so plate will expand and ball will shrink.