Directions (48-52): What will come in place of question mark (?) in the following questions.

35, 72, 113, ?, 203, 256, 315

The correct answer is 156.

To find the missing term in the given number series, let us observe the pattern by finding the differences between consecutive terms:

$72-35=37$
$113-72=41$

Notice that the differences obtained, $37$ and $41$, are consecutive prime numbers.

Let us check the differences between the known numbers towards the end of the series:

$256-203=53$
$315-256=59$

The differences $53$ and $59$ are also consecutive prime numbers. Thus, the overall pattern is adding consecutive prime numbers starting from $37$:

$37,41,43,47,53,59$

To calculate the missing number in place of the question mark (?), we add the next prime number, which is $43$, to $113$:

$?=113+43=156$

We can verify this result by adding the subsequent prime number ($47$) to our calculated term ($156$):

$156+47=203$

This matches the term $203$ in the series, confirming that the missing number is indeed 156.