1308, 812, 506, ?, 272, 248 What will come in the place of question (?) mark in following number series:

The correct option is 342.

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

Given series: 1308, 812, 506, ?, 272, 248

Let us look at the differences between adjacent numbers:

$1308-812=496$

$812-506=306$

Let the missing number be $x$.

Now, let us examine the difference between the last two terms:

$272-248=24$

Notice the relationship between consecutive differences:

$496-306=190$

Alternatively, looking at how each term is obtained from previous terms:
Notice that each term can be expressed as a combination/difference of preceding terms or double differences:
$1308-812=496$
$812-506=306$
$506-342=164$
$342-272=70$
$272-248=24$

Let us check the second-level differences (difference of differences):
$496-306=190$
$306-164=142$
$164-70=94$
$70-24=46$

Now check the third-level differences:
$190-142=48$
$142-94=48$
$94-46=48$

Since the third-level difference is constant at 48, the pattern is verified.

Therefore, the missing number in place of the question mark (?) is 342.