Goel met Deputy Chief Minister Manish Sisodia and handed over a memorandum of demands to this effect.
85 per cent seats should be reserved in the 28 colleges, which are funded by the Delhi government for the city students who are facing problems in admission, he said.
"It is very sad that people living in Delhi for many years are forced to send their wards to costly private educational institutions here or outside the state," he said in a statement.
"We should also address the rising issue of widespread cheating in class XII board examinations in other states," he said, demanding an entrance test for candidates outside of Delhi, seeking admission to colleges in the national capital.
He also sought opening of new universities and colleges in Delhi claiming that this year "2,23,000 students" passed board exams while there are just "54,000 seats" in 61 colleges under the Delhi Univesity.