Answer: C. Mn is 3d⁵4s², so Mn²⁺ is 3d⁵. The third ionisation must remove an electron from this half-filled subshell, which has extra exchange-energy stabilisation, so Mn's third ionisation enthalpy (3260 kJ/mol) is higher than Cr's (2990) and Fe's (2962) (values from Table 4.2; NCERT Class 12 Chemistry Chapter 4, page 96, notes that the third ionisation enthalpy of Fe is lower than that of Mn). Mn's first ionisation enthalpy (717) is not higher than Fe's (762), so the question is about the third.
Why A is wrong: A is wrong because nuclear charge increases continuously (Cr=24, Mn=25, Fe=26) — if nuclear charge alone determined it, Fe would have the highest third ionisation enthalpy of the three, but Fe's (2962 kJ/mol) is lower than Mn's (3260).
Why B is wrong: B is wrong because both 4s electrons are gone before the third ionisation (Mn²⁺ is 3d⁵), so 4s occupancy cannot explain it; Fe also has 4s², yet its third ionisation enthalpy is lower than Mn's. The explanation lies in 3d⁵ stability.
Why D is wrong: D is wrong because the highest oxidation state in compounds doesn't directly determine atomic ionisation enthalpy — the third ionisation enthalpy concerns removing one electron from Mn²⁺, not reaching +7.