What should come in place of the question mark (?) in the given series?
13, 22, 33, 46, ?, 78, 97

The correct option is 61.

Let's analyze the given number series to find the pattern:

13, 22, 33, 46, ?, 78, 97

Let's calculate the difference between consecutive terms:

22 - 13 = 9

33 - 22 = 11

46 - 33 = 13

We can see that the differences between successive numbers are increasing by 2 each time (9, 11, 13, ...).

Following this pattern, the next difference should be:

13 + 2 = 15

Adding this difference to the term preceding the question mark (46):

? = 46 + 15 = 61

Let's verify the rest of the series with the next differences (17 and 19):

61 + 17 = 78

78 + 19 = 97

The pattern holds true throughout the series. Therefore, the missing number in place of the question mark (?) is 61.