Let the total marks be x.
The student requires 40% of x to pass which is 0.4x.
Also, the student got 274 marks and failed by 16 marks. This means the passing marks should have been 274 + 16 = 290.
So, we have the equation:
0.4x = 290
Solving for x:
x = 290 / 0.4
x = 725
Therefore, the total marks in the examination is 725.