Statement X: The success rate of candidates getting short-listed based on CV’s is higher for Managerial category than for Technical category in 2005.
Statement Y: The success rate of candidates getting short-listed based on CV’s is better for Managerial category in 2005 than in 2004.

Evaluating statement X,

In the year 2005, In Managerial category, the number of candidates the number of candidates shortlisted based on CV=$$\ \frac{\ 399}{40763}=0.00978$$

In the year 2005, In Technical category, the number of candidates the number of candidates shortlisted based on CV=$$\ \frac{\ 637}{60133}=0.0106$$

So, statement X is false.

Evaluating statement Y,

In the year 2005, In Managerial category, the number of candidates the number of candidates shortlisted based on CV=$$\ \frac{\ 399}{40763}=0.00978$$

In the year 2004, In Managerial category, the number of candidates the number of candidates shortlisted based on CV=$$\ \frac{\ 138}{15389}=0.00896$$

So, statement Y is True. Hence, Option B.