Can you please explain how you got option C?
Given: Range of A = r, Greatest of A = g, Range of B = s, Greatest of B = h
Say, least of A = a and least of B = b
r = g - a
s = h - b
The question is whether a > b or not.
Statement 1: r < s
Implies (g - a) < (h - b)
No information about g and h.
Statement 2: g > h
Implies (r + a) > (s + b)
No information about r and s.
1 & 2 Together: We have information about r, s, g and h. We can easily determine whether a > b or not. In fact from statement 2 (r + a) > (s + b). Now from statement 1, r < s. Thus a must be greater than b.