Hello aspirant!
Hope you are doing well!

There are various scholarship examinations that are based on Mental ability.

1 NTSE- It follows the NCERT prescribed syllabus covering Science, Maths, Social Science and Mental Ability.
2. NLSTSE - Subjects : Maths, Physics, Chemistry, Biology, General Questions
3. Indian National Olympiad- Subjects: Physics, Chemistry, Biology, Astronomy and Junior Science
4. Science Olympiad Foundation- Subjects: Science, mathematics, computer education, English, sports and professional courses
5. GeoGenius-  Phase1- children participate in their respective schools throughout the country and then  on the basis of cut-off, students are selected for Phase-II where they are invited to the National Finals.

Hope this helps!