Increasing oxidising power
In the given ions, the oxidation states of V,Cr and Mn are +5,+6 and +7 respectively.
As the oxidation state increases, the ease with which the ions accept electrons increases. After reduction V,Cr and Mn form more stable species where Mn is in +2 oxidation state, is relatively more stable ( d5) than Cr2+(d3) and V3+(d0).