Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.

4 : 84 :: 11 : ? :: 13 : 2379

1463

Pattern followed is :

2nd number = (1st number)³  +  [ 1st number × (1st number + 1 ) ]

We have ,

4 : 84

2nd number = (4)³ +  [ 4 × (4 + 1 ) ]

= 64 + 20

= 84

&  13 : 2379

2nd number = (13)³  +  [ 13 × (13 + 1 ) ]

= 2197 + 182

= 2379

Similarly ,

11 : ?

2nd number = (11)³  +  [ 11 × (11 + 1 ) ]

= 1331+ 132

= 1463

1463 is correct answer.