Which of the following relation (s) is/are false ?
I. `(27)^((1)/(3)) gt (13)^((1)/(2)) gt (47)^((1)/(6))`
II. `(23)^((1)/(3)) lt (49)^((1)/(2)) lt (52)^((1)/(6))`
III. `(52)^((1)/(6)) lt (41)^((1)/(3)) lt (37)^((1)/(2))`

Options

A. Only III
B. Both I and II
C. II and III only
D. All relations are false

Answer

B