Answer: No, he can't pass the course.
Explanation:
Since we have given that
Marks on tests 1, 2, and 4 are given by
82, 76, 90 respectively.
Unfortunately, he cut the third test and receive a 0.
According to question, we have given that passing grade for the course is 70, and his one test left to take ,
Let the marks obtained in fifth test be x
So,

And it is not possible to get 102 over 100.
so, he can't still pass the course.
Hence, No, he can't pass the course.