Which of the following statement(s) is/are true? I. (65)1/6 > (17)1/4 > (12)1/3 II. (17)1/4 > (65)1/6 > (12)1/3 III. (12)1/3 > (17)1/4 > (65)1/6

Answer: Option B

(65)^1/6
(17)^1/4
(12)^1/3
LCM of 4, 6, 3 = 12
∴ (65²)^1/12 = (4225)^1/12 . . . . . . (I)
(17³)^1/12 = (4913)^1/12 . . . . . . (II)
(12⁴)^1/12 = (20736)^1/12 . . . . . . (III)
From equation (I), (II), (III) we can see that only (III) statement follows.