JEE Advanced 2020 Paper 1

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows: [position] =[Xα]; [speed] =[Xβ]; [acceleration] =[XP]; [linear momentum] =[Xq]; [force] =[Xr]. Then