290, ?, 374, 421, 474, 533
What will come in the place of question (?) mark in following number series:

The correct option is 331.

To find the missing number in the given number series, let us analyze the pattern by calculating the differences between consecutive terms.

Given series: 290, ?, 374, 421, 474, 533

Let us first check the differences between the known consecutive terms towards the end of the series:

Difference between 533 and 474:
$533-474=59$

Difference between 474 and 421:
$474-421=53$

Difference between 421 and 374:
$421-374=47$

Notice that the differences obtained are 47, 53, and 59, which are consecutive prime numbers in increasing order.

Following this pattern backward, the prime numbers preceding 47 are 41 and 37.

Therefore, the differences between consecutive terms from the beginning should be 41 and 37 respectively:

First difference (between 290 and the missing number ?):
$?-290=41$

Adding 41 to 290 gives:
$?=290+41=331$

Let us verify this by checking the next difference (between 374 and 331):
$374-331=43$

The sequence of prime differences is 41, 43, 47, 53, 59, which fits the pattern perfectly.

Thus, the missing number in place of the question mark (?) is 331.