Hii aspirant,

Yes student from humanities background can also apply for NDA examination provided that they have Mathematics as a compulsory subject. It is also important to know that they would be only considered for the Indian army and not the air forces and Navy because it requires physics as a compulsory subject. In order to apply for NDA examination a candidate needs to age between 16.5 years to 19.5 years and must have completed senior Secondary Education or should be an appearing candidate.

Hope it helps