The question itself can be rephrased as: which reaction makes a racemic mixture or achiral product?
The beginning of the passage itself states that Rxn 1 produces a "mixture of enantiomers", so that's how I arrived at A without using an O chem when I previously did this passage.
In the reaction, in the transition state you could have either the diene at the top and anhydride at the bottom or vice versa - and this WILL produce enantiomers but at an equal rate for both. Visualize the situation, do you see any difference in the stability of the transition state in whether you have the diene at the bottom or the top?
The planarity of both reactants makes each enantiomer equally likely to form, which is why you have the racemic mixture.
Sorry, I don't entirely remember the endo/exo terminology, but the above is how I was thinking it.