Select the option that is related to the third number in the same way as the second number is related to the first number.

13 : 109 :: 24 : ?

197

The pattern followed here is second number = (first number × 8) + 5

109 = (13 × 8) + 5 = 104 + 5 = 109

Similarly,

? = (24 × 8) + 5 = 192 + 5 = 197

? = 197

Hence, 197 is the correct answer.