To be honest, I have no clue either. The only way to solve is to make some false assumptions about how the cracking process works - that is, to assume it is possible tow rite a simple reaction equation. That is not correct - stoichiometry of cracking is rather messy and doesn't follow simple equations, overall reaction equation will contain plenty of fractional coefficients - not because it follows some other chemistry rules, but because overall process is a combination of many different parallel reactions going at the same time and competing. Plus, it is not clear if the mole fraction takes into account produced hydrogen or not (if there are alkenes produced, hydrogen must be present between products, yet it is not listed).
I think I could be able to prove each of the answers to be the right one. Futile exercise.