Solution:The pattern followed here is :{(1st number ÷ 2) + 1)}² = 2nd number
(24 : 169) → {(24 ÷ 2) +1 )² ⇒ 13² = 169
(12 : 49) → {(12 ÷ 2) +1 )² ⇒ 7² = 49
(48 : 625) → {(48 ÷ 2) +1 )² ⇒ 25² = 625
But,
(36 : 365) → {(36 ÷ 2) +1 )² ⇒ 19² = 361 (Not 365)
Hence, (36 : 365) is the correct answer.