which of the following statement(s) is/are true? i. (65) 1/6 (17)

| 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
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
A. only i
B. only iii
C. only ii
D. None of these
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
LCM of (3,4,6) = 12
Taking 12th power of each, we get
(65)12/6, (17)12/4,(12)12/3
(65)2,(17)3,(12)4
4225, 4913, 20736
Hence
(12)1/3>(17)1/4>(65)1/6