Of the following series of partial sums which might arise in the addition of 36 and 25 the one that is incorrect is:

A)11,31,61
B)11,4,6,61
C)11,41,61
D)36,56.61

To determine which series of partial sums might be incorrect when adding 36 and 25, we can perform the addition ourselves and compare the sums with the given options.

The numbers being added are 36 and 25:

36 + 25 = 61

Let's examine each option to see if the series of partial sums matches the correct addition:

A) 11, 31, 61
If we add the numbers in the series: 11 + 31 = 42, which is incorrect.

B) 11, 4, 6, 61
If we add the numbers in the series: 11 + 4 = 15, 15 + 6 = 21, 21 + 61 = 82, which is incorrect.

C) 11, 41, 61
If we add the numbers in the series: 11 + 41 = 52, which is incorrect.

D) 36, 56, 61
If we add the numbers in the series: 36 + 56 = 92, which is incorrect.

By comparing the given options with the correct addition, we can conclude that the series of partial sums that is incorrect is:

A) 11, 31, 61.