Answer: there are 150 questions in the test.
Step-by-step explanation:
Let x represent the total number of questions in the test.
On a test, 74% of the questions are answered correctly. This means that the number of questions that were answered correctly is
74/100 × x = 0.74 × x = 0.74x
If 111 questions are correct, it means that
0.74x = 111
Dividing the left hand side and the right hand side of the equation by 0.74, it becomes
0.74x/0.74 = 111/0.74
x = 150