[How should a student answer exam questions that contradict his madhhab?]

Answer: This question has been repeated to me many times, and the solution is as follows:
1. If it is possible to pass without answering the problematic question, then it becomes obligatory for the student to leave it without an answer.
2. If passing is not possible except by answering the problematic question, then he should answer it by way of attribution (reporting), so he says, for example: “Ahl al-Sunnah wa’l-Jama‘ah say such-and-such,” and the like.
What I advise the student is that he should not enroll in a department in which he will be exposed to such things, but rather should switch to another department in which there is no exposure to the madhhabs. This is safer for the student in his religion and his creed.
If it be said: The scholars of the madhhab have said that concession to commit a sin is only in the case of necessity, and there is no necessity in what has been asked about, for the necessity intended in this topic is fear of death or killing, or the cutting of a limb, or the onset of a chronic illness, or the like.
We say: The matter is as the scholars of the madhhab have mentioned, and what we have stated is concession regarding reporting (mere narration), and reporting falsehood is not in itself a sin.
But reporting falsehood is not permissible except when there is a need to report it, for the obligation is to cause falsehood to die out and be buried.
Allah, Exalted is He, has reported in the Qur’an many of the doctrines of the polytheists, Jews, and Christians, and many of the statements of the hypocrites and people of falsehood.

Source: Min Thimār al-ʿIlm wa al-Ḥikmah vol.2