The correct answer is (C) "Nuclide Y has a shorter half-life than nuclide X."
Why the statement (C) is correct?
Based on the information provided, we can conclude that nuclide X has a shorter half-life than nuclide Y since it decays more quickly.
Option (A) is not necessarily true because the abundance of a nuclide is not related to its decay rate.
Option (B) is incorrect because if nuclide X has a shorter half-life than nuclide Y, then nuclide Y must have a larger half-life than nuclide X.
Option (D) is not necessarily true since the abundance of the daughter nuclides depends on the specific decay process and not just the decay rate of the parent nuclide.