What will come in place of question mark (?) in the following number series?

13, 14, 30, ?, 376, 1885

The correct option is 93.

To find the missing number in the given series, let us analyze the pattern or relationship between consecutive terms:

Given series: 13, 14, 30, ?, 376, 1885

Let us examine how each term is derived from the previous term:

First term to second term:
$13\times 1+1=14$

Second term to third term:
$14\times 2+2=30$

Following this pattern, to find the fourth term (?), we multiply the third term by 3 and add 3:
$30\times 3+3=90+3=93$

Let us verify the remaining terms using the same logic:

Fourth term to fifth term:
$93\times 4+4=372+4=376$

Fifth term to sixth term:
$376\times 5+5=1880+5=1885$

The pattern is consistently $\text{Previous Term}\times n+n$ for $n=1,2,3,4,5\dots$

Therefore, the number that replaces the question mark (?) is 93.