Correct option is A
Given: 27, 28, 32, ?, 57, 82
Logic: Difference of two numbers is increasing by squares of natural numbers.
28 – 27 = 1 = 12
32 – 28 = 4 = 22
? - 32 = 9 = 32
? = 9 + 32
? = 41
57 – 41 = 16 = 42
82 – 57 = 25 = 52
Thus,, correct option is (a).