Subsequent terms in all the given three number series should follow the pattern “1 more than the square of consecutive odd numbers” .

A: 32, 82, 164, 286, 456, 682

B: 140, 166, 216, 338, 508, 798

C: 400, 410, 435, 485, 567, 689

Which of the following series does not follow the pattern?

The correct option is Both B and C.

Let's analyze the pattern specified in the question:
"1 more than the square of consecutive odd numbers".
The consecutive odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, ...
Their squares are:
$1^2=1$
$3^2=9$
$5^2=25$
$7^2=49$
$9^2=81$
${11}^2=121$
${13}^2=169$
${15}^2=225$, and so on.

The pattern "1 more than the square of consecutive odd numbers" means the difference between subsequent terms in the series must be of the form:
${\left(\text{Odd Number}\right)}^2+1$
Thus, the differences between consecutive terms must be selected from the sequence:
$1^2+1=2$
$3^2+1=10$
$5^2+1=26$
$7^2+1=50$
$9^2+1=82$
${11}^2+1=122$
${13}^2+1=170$
${15}^2+1=226$, and so on.

Let's check each of the three series to see if the differences between consecutive terms follow this pattern:

Series A: 32, 82, 164, 286, 456, 682
Let's find the differences between consecutive terms:
First difference: $82-32=50$ (which is $7^2+1$)
Second difference: $164-82=82$ (which is $9^2+1$)
Third difference: $286-164=122$ (which is ${11}^2+1$)
Fourth difference: $456-286=170$ (which is ${13}^2+1$)
Fifth difference: $682-456=226$ (which is ${15}^2+1$)
Since all differences (50, 82, 122, 170, 226) correspond to ${\left(\text{consecutive odd numbers}\right)}^2+1$ where the odd numbers are 7, 9, 11, 13, 15, Series A follows the pattern.

Series B: 140, 166, 216, 338, 508, 798
Let's find the differences between consecutive terms:
First difference: $166-140=26$ (which is $5^2+1$)
Second difference: $216-166=50$ (which is $7^2+1$)
Third difference: $338-216=122$ (which is ${11}^2+1$)
Here, the difference jumps from 50 (for odd number 7) to 122 (for odd number 11), skipping the value $9^2+1=82$ which corresponds to the consecutive odd number 9. Thus, Series B does not follow the pattern of consecutive odd numbers.

Series C: 400, 410, 435, 485, 567, 689
Let's find the differences between consecutive terms:
First difference: $410-400=10$ (which is $3^2+1$)
Second difference: $435-410=25$ (Note that 25 is $5^2$, not $5^2+1=26$)
Third difference: $485-435=50$ (which is $7^2+1$)
Fourth difference: $567-485=82$ (which is $9^2+1$)
Fifth difference: $689-567=122$ (which is ${11}^2+1$)
Since the second difference is 25 instead of 26, Series C does not follow the pattern.

Therefore, both series B and C do not follow the pattern.