A different way to approach this is to start from the least ambiguous name in the list rather than the most famous one, since "World Cup" alone exists across almost every sport and cannot narrow things down by itself.
- Starting with "Allywyn International Trophy" and "Challenge Cup": These two names are specific and historically tied to cricket tournaments rather than generic global competitions, which immediately points toward cricket rather than tennis, volleyball, or basketball.
- Cross-checking with "Federation Cup": While tennis has its own Federation Cup, cricket has also used domestic tournaments under this name, so it is compatible with the cricket answer once the other two names already point there.
- Cross-checking with "World Cup": Since cricket has its own globally recognized World Cup (first held in 1975), this name is fully consistent with the cricket answer as well.
- Ruling out volleyball and basketball: Neither sport has any of these four trophies associated with it at all, so they are eliminated outright.
Working from the most specific clues to the most general one converges on the same sport.
Hence, the correct answer is Cricket.