This is not such a simple question as many question setters seem to think.
Wikipedia describes "the concept of a county town" as "ill–defined and unofficial." On the same page it tells us that Wakefield was the county town of West Yorkshire from 1974 (when the county was created, along with the five other metropolitan counties) until 1986 (when all six metropolitan county councils were abolished). It lists no county town for West Yorkshire since 1986.
The metropolitan counties continue to exist as ceremonial counties, but I can find no website that gives up–to–date county towns.
Ceremonial counties do still have administrative headquarters, apparently. But according to Wikipedia, the administrative headquarters of West Yorkshire are now in Leeds, not Wakefield.
If the question had asked what was the county town of West Yorkshire from 1974 to 1986, we could have answered it definitively. But we might have asked whether something that only stood for twelve years is still relevant over thirty years later (in other words, whether there was any point in asking the question).
If it had asked which town or city the administrative headquarters of West Yorkshire were in, this would be more relevant today; but the answer would be Leeds.
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