Hi grehelpme,

GRE loves to ask these types of questions and the good news is these are very difficult to solve.

For this problem, k* = 1/k.

so, (K+2)* = 1/(K+2)

.

=> ((K+2)*)* = (1/(K+2))* which is same as quantity B.

If you want to solve it using an example, Let's say K=2, then

Quantity A: ((2+2)*)* = ((4)*)* = (1/4)* = 4

Quantity B: (1/2+2)* = (1/4)* = 4