Statement X: In 2004, the number of candidates offered jobs as a proportion of the number of CV’s posted was higher for Technical than for Managerial candidates
Satement Y: In 2004, among those short-listed by Employers, the Technical category had a higher success rate in securing jobs than the Managerial category.

Let's evaluate statement X first.

For technical jobs in 2004, the number of candidates offered jobs as a proportion of the number of CV’s posted=$$\ \frac{\ 181}{59981}=0.00301$$

For Managerial jobs in 2004, the number of candidates offered jobs as a proportion of the number of CV’s posted=$$\ \frac{\ 48}{15389}=0.00312$$

So, statement X is false.

Evaluating Y,

In technical category in 2004, the number of candidates offered jobs as a proportion of the candidates shortlisted=$$\ \frac{\ 181}{684}=0.2646$$

In Managerial category in 2004, the number of candidates offered jobs as a proportion of the candidates shortlisted=$$\ \frac{\ 48}{138}=0.3478$$

So, statement Y is also false.

Hence, option D.