Purvikalyani, a pratimadhyama janya raga, originates from the 53rd Melakarta, Gamanashrama, not Kamavardhani.
Statement i: Correct – It employs prati madhyamam (M2).
Statement ii: Incorrect – The Arohana of Purvikalyani is S R1 G3 M2 P D1 N3 S, a linear progression without vakra in the ascent.
Statement iii: Correct – It features Kaisiki Nishada (N3).
Statement iv: Incorrect – Purvikalyani derives from Gamanashrama (53rd Melakarta), not Kamavardhani (51st Melakarta).
The correct statements are (i) and (iii).