What should come in place of ‘?’ in the given series?

145 129 113 97 81 ?

The correct option is 65.

To find the number that should come in place of the question mark (?), let us analyze the pattern of the given number series:
145, 129, 113, 97, 81, ?

Let us calculate the difference between each consecutive term in the series:

First term to second term:
$129-145=-16$

Second term to third term:
$113-129=-16$

Third term to fourth term:
$97-113=-16$

Fourth term to fifth term:
$81-97=-16$

As we can observe, the series follows an arithmetic progression where each successive number is obtained by subtracting 16 from the previous number.

Applying the same logic to find the next term (?):
$?=81-16$

Calculating the subtraction:
$81-16=65$

Thus, the number that should replace the question mark is 65.