You are a serious contender in everything you do and generally you do not like to lag in anything.
As per your chart, currently the overall time for you is positive for the next seventeen years and in the near future the time up to July 2022 is positive for you and thereafter also it would be supportive to a lesser extent.
So depending on your preparation, chances are good that you could clear your entrance exam.
Makar lagna with lagna lord retrograde Saturn in the sixth house; Lord of fourth house mars posited in the third house conjunct Moon; Lord of fifth house Venus posited in the lagna.
Venus Maha Dasha running till 2039 and Venus Antar Dasha running currently till July 2022.