1. You should study hard to get into university.

Question

2. You should study hard to go into university.

3. You should study hard to go to university.

4. You should study hard to get to university.

5. You should study hard to enter university.

(Are all the same in meaning? Which ones are popular?)

Answer 1

They are all the same.

But numbers 1 and 3 are most commonly used.

One difference between British English and American English is that Americans use "the" before university.

Example: You should study hard to get into the university.

But your sentences are more common in the United Kingdom.