Step 1: Convert each success rate to a "per thousand" figure to make the comparison easier to read.
Managerial 2005: 399 short-listed out of 40,763 CVs is about 9.8 per thousand. Technical 2005: 637 short-listed out of 60,133 CVs is about 10.6 per thousand.
Step 2: Compare the two 2005 figures for Statement X.
Technical's 10.6 per thousand beats Managerial's 9.8 per thousand, so Managerial is not the stronger category in 2005. Statement X, which claims Managerial is higher, is false.
Step 3: Find Managerial's 2004 figure for Statement Y.
Managerial 2004: 138 short-listed out of 15,389 CVs is about 9.0 per thousand.
Step 4: Compare Managerial's two years for Statement Y.
Managerial moved from about 9.0 per thousand in 2004 to about 9.8 per thousand in 2005, an improvement. So Statement Y, which claims 2005 was better than 2004 for Managerial, is true.
Step 5: Final Answer.
Statement Y alone is correct.
\[ \boxed{\text{Only [Y] is True}} \]