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)
| 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

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