A student answers 20 out of the first 32 questions correctly, but gets three-quarters of remaining questions wrong. all the questions are equal value. if the students' score is 40%, how many questions were there is exam?

There are questions on this exam.

Step-by-step explanation:

Let denote the number of questions on this exam in total (including the first questions.)

There would be questions after the first .

Since the student got three-quarters of these wrong, only one-quarter () of these questions are correct. That would be another right answers.

In total, the number of questions that the student got correct would be:

.

On the other hand, it is given that the student got of the questions right. Hence, the number of correct answers may also be expressed as:

.

Both expressions give the number of correct answers. Equate the two expressions and solve for :

.

.

.

.

.

In other words, there are questions on this exam in total.

-6 is the correct option from the above given options