Which of the following numbers will replace the question mark (?) in the given series?
12, 13, 30, 99, 412, ?

To find the number that replaces the question mark (?) in the series, let's analyze the pattern between consecutive terms of the given series:
12, 13, 30, 99, 412, ?

Let's check the relationship between each consecutive term:
From 12 to 13:
$12\times 1+1=13$

From 13 to 30:
$13\times 2+4=30$ (which is $13\times 2+2^2=30$)

From 30 to 99:
$30\times 3+9=99$ (which is $30\times 3+3^2=99$)

From 99 to 412:
$99\times 4+16=412$ (which is $99\times 4+4^2=412$)

Following this pattern, the next term is obtained by multiplying the current term by 5 and adding 5² (25):
$412\times 5+5^2=2060+25=2085$

Therefore, the missing number in the series is 2085.