Is it obligatory to lift or burn every discarded paper containing the Qur'an, the name of Allah, the Basmala, the names of prophets, or the names of companions, or is that among the recommended acts? And is it obligatory to write the Basmala on exam papers or any letter or book?

It is not permissible to discard papers containing Quranic verses, prophetic traditions, or the names of Allah. Anyone who sees them discarded must preserve them, unless doing so would cause them undue hardship or difficulty. Writing the Basmalah on exam papers is recommended if there is assurance that it will not be dishonored. The names of prophets do not hold the same sanctity if they are used for others.