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.

16 : 69 :: 24 : ? :: 31 : 144

109

The logic followed here is :

(Ist number × 5) - 11 = IInd number

16 : 69 :: 24 : ?

(16 × 5) - 11

80 - 11 = 69

31 : 144

(31 × 5) - 11

155 - 11 = 144

same as

24 : ?

(24 × 5) - 11

120  - 11 = 109