1. ranks 37th globally
2.
(more formal expression)
We accord priority to admitting female applicants.
(more informal expression)
In admitting students, we would give priority to female applicants.
Note: I use "applicants " instead of "students ".
3. The University of Hong Kong is the oldest tertiary institution in Hong Kong.
(ref:
www.hku.hk)
4.
(by direct translation)
(Our students) have already received many letters of appointment before graduation.
(by meaning translation, this is better)
(Our students) would receive many job offers even before they are graduated.
Note: Depending on the situation, the words "would " and "even " may normally be omitted.
5.
(by direct translation)
Our quality is guaranteed.
(by meaning translation, this is better)
You can be assured of the high quality of our education service.