Matching

Molar conductance = K x V = G x l/A x 1000/Molarity where K is kappa symbol and is conductivity, G is conductance(reciprocal of resistance), l is distance of separation between electrodes and A is area of electrodes.

So (A) -> (P) as molarity depends on temperature, (Q) which is obvious, (R) as conductivity depends on nature of substance involved and (T) I am not sure about.

Emf of a cell is related to standard electrode potential of cell, number of electrons involved in cell reaction and concentrations of species by Nernst equation.

Hence (B) -> (P) [Concentrations], (Q), (R) again not sure about (T)

Gibbs Free energy change is given by delta G = -(nFE) = -2.303RT log K_c
where E is standard electrode potential.

Hence (C) -> (P) [Obvious], (Q) [Dependent on K_c], (R), (S)[n is present]

Conductivity(denoted by kappa symbol) is = 1/R x l/A = G x l/A
This you can work out for yourself.
Dunno about (T) in each of the options...how does a complex forming ligand affect electrochemistry? Will have to read coordination compounds again.

@ Pritish,

If Molar conductance is related to = K x V = G x l/A x 1000/Molarity where K is kappa symbol and is conductivity, G is conductance(reciprocal of resistance), l is distance of separation between electrodes and A is area of electrodes........ etc all these factors, but that doesn't means Molar conductance is dependent on all these factors.

For eg, if R = roh (l/ a)... where R = resistance , roh = resistivity/ speciic resistance... and (l/z) = cell const
Here R depends upon cell const but roh doesn't

R = roh(l/a) = roh x G" where G" is cell constant
How is molar conductance not dependent on those factors..? I didn't get you..
Okay for a certain electrode system G" is constant, G" cannot change so molar conductance cannot depend on it. But the fact here is, they have not mentioned these values for a specific system. They have mentioned in general.
roh is dependent on nature of material..ab yaad aaya...roh = m/(ne²tau)