Statement I: True. Raga Bhairav features a characteristic oscillation (andolan) on the flat Re (komal Rishabh) and flat Dha (komal Dhaivat).
Statement II: True. The raga's Jati is Audav-Shadav, meaning it uses five notes in ascent and six notes in descent.
Statement III: False. 'Chaugun' signifies four times the speed; for Jhaptala, chaugun completes the entire 10-beat cycle, not a mere 2.5 beats.
Statement IV: False. Malkauns excludes the Re and Pa notes, thus it does not employ all the natural notes (shuddha swaras).