How Competitive Are These GRE Scores and GPA?

[LegateLana]

Greetings all,

I recently graduated with a B.S. in Chemical Engineering from a university ranked 86 to 43 globally, depending on the ranking institution. My final, cumulative GPA was 3.795 and my GRE scores were as follows:

161 verbal reasoning (88th %)

163 quantitative reasoning (84th %)

5.0 analytical writing (93rd %)

What tier of universities do you think I would realistically be admitted for engineering Master's and/or PhD programs in the Fall of 2019, given that I do not have any significant undergraduate research experience? Also, how do I stand for entering into non-engineering graduate programs?