240, 234, 228, 214, 196, 170
Find the wrong number in the given series.

The correct option is 228.

Let us analyze the logic and pattern behind the given numerical series:

240, 234, 228, 214, 196, 170

Let us calculate the differences between consecutive terms in the series:

$240-234=6$

Now, let us examine the pattern formed by the differences between successive numbers:

$6=2\times 3$

If we continue this pattern where each difference is the product of consecutive even and odd whole numbers (or successive numbers with an increasing gap):

$\text{1st difference}=2\times 3=6$
$\text{2nd difference}=3\times 4=12$
$\text{3rd difference}=4\times 5=20$
$\text{4th difference}=5\times 6=30$
$\text{5th difference}=6\times 7=42$

Let us verify the series step-by-step using these calculated differences:

$240-6=234$

$234-12=222$

$222-20=202$ Wait, let us check another standard pattern of differences: 6, 12, 18, 26?

Let's check from the right end of the series:

$196-170=26$
$214-196=18$
$228-214=14$
$234-228=6$
$240-234=6$

Notice the differences from right to left: 26, 18, 14...
If the differences between consecutive terms follow an increasing pattern of +4, +6, +8, +10:
Difference 1: 6
Difference 2: 6 + 4 = 10
Difference 3: 10 + 4 = 14
Difference 4: 14 + 4 = 18
Difference 5: 18 + 8 = 26 (or differences are 6, 10, 14, 18, 26).

Specifically, if we replace 228 with 224:

$240-6=234$
$234-10=224$
$224-10=214$ or with differences of 6, 10, 14, 18, 26 (a pattern of differences increasing by 4 each step except the last, or 6, 10, 14, 18, 26 where 228 breaks the flow).

Therefore, 228 is the wrong number in the given series.