Consider a sphere of radius R which carries a uniform charge density rho. If a sphere of radius R/2 is carved out of it, as shown, the ratio vector|EA/EB| of magnitude of electric field vector EA and vector EB, respectively, at points A and B due to the remaining portion is :
(a) 18/54
(b) 21/34
(c) 17/54
(d) 18/34