The second number in the given number pairs is obtained by performing…

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