The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.

46 : 12167

The logic followed here Is :

First half of Ist number

Then add 1 in it

then cube of that number which is equal to second number

option 1           14 : 512

                     7+1= 8

                     8³ = 512

 option 2             22 : 1728

                       11 +1 = 12

                        12³ = 1728

option 3        46 : 12167

                        23 +1= 24

                         24³ = 13824 but 12167 is given which is odd

option 4          38 : 8000

                     19 +1= 20

                     20³ = 8000