Having a bit of trouble with a keyword phrase.

The SEO team want us to change a keyword phrase in a blog title.

Our current title is, "How to prepare for your GRE exam".

They want us to change it to, "How to prepare for GRE exam".

They say it's because the keyword phrase is "prepare for GRE exam" and the phrase "prepare for your GRE exam" has 0 results.

However, "prepare for GRE exam" in a title doesn't sound right and is grammatically incorrect. Does it really make that much of a difference?

Is Google not smart enough to see that by just adding the word "your" means it's not related at all?

Thanks!