Read the passage below and solve the questions based on it.
In the entrance examination of IIMs, there were 200 questions, each of which carried the same marks. A correct answer gets 2 marks and there is 100% negative marking. A total of 70 candidates took the exam and it was later found that the average marks obtained by these 70 candidates was 240. The candidates were not required to attempt all the questions. None of the candidates got more number of incorrect answers than correct answers.
When the scores of the top four students are deleted, the average score of the remaining 66 students falls by 6 marks. Assume that it is possible for two or more students to have the same net score. What is the minimum score possible for the fourth ranking student if no student got a net score of more then 352?