Yes there is entrance exam for class 11 to take admission in government school of punjab as you belong to punjab i must mention the school of eminence entrance exam under which 118 government schools across 23 districts are modernized.

In SOE students in grades 9 to 12 will receive personalized career counseling, innovative teaching methods, and guidance for professional exams.thos exam conducted every year in march.The test includes 150 questions, each worth one mark, and takes three hours to complete including subjects like your previous standard related and logical reasoning.

This test is not Mandatory if you choose Other than this you can go for any private school with your 10th marks according to merit they will give admission and some school may conduct entrance exam.