Hi,

Both clat and ailet exam are the entrance exams for law courses.

Ailet is All India Law Entrance Test. It is conducted by National Law University Delhi.

Clat is common law entrance test. It is conducted by The Consortium of National Law Universities.

If you met the eligibility criteria to appear the clat exam and ailet exam you can give both provided the exam dates for both do not coincide.

Hope this helps.