The sentence which uses coordinated syntax is B) Tim and Ricky like to race cars, go to baseball games, and cook hamburgers on the grill.
Coordinated syntax means that two equal sentences are joined together with one of the following conjunctions: <em>and, or, but</em>. The two sentences joined must be equal, which means that they must both be independent and able to stand on their own. For example, in B the sentences "<em>Tim and Ricky like to race", "They go to baseball games" </em>and "<em>They cook hamburgers on the grill</em>" could stand on their own without depending on one another.
On the contrary, in A, the second sentence depends on the first one and so the syntax is not coordinated but subordinated. The same happens in D. In C, the two sentences are not joined and so we cannot talk about coordinated syntax.
A. "The band new Mercedes I won in a raffle is nice."
If you had actually won an expensive car for free, you'd probably be bouncing off the walls instead of just calling it "eh, it's nice." That is an <em>understatement</em>.