- Statement (A) is correct because 200 mL of 0.1 M KI contains 0.02 moles of KI, and according to the equation, 5 moles of I\(^-\) react with 1 mole of KIO\(_3\). Therefore, 0.02 moles of KI would require 0.004 mol of KIO\(_3\).
- Statement (C) is also correct because 0.5 L of 0.1 M KI will contain 0.05 moles of KI, and according to the equation, this will produce 0.005 mol of I\(_2\).
- Statement (D) is correct because the equivalent weight of KIO\(_3\) is equal to its molecular weight divided by 5, as 5 moles of iodide react with one mole of KIO\(_3\).
Thus, the correct answer is \( \boxed{(A),(D)} \).