The given number series 22, 26, 42, 78, 142, 244 follows a pattern that,

$$\begin{gathered} 22 \\ 22 + 2 2 = 22 + 4 = 26 \\ 26 + 4 2 = 26 + 16 = 42 \\ 42 + 6 2 = 42 + 36 = 78 \\ 78 + 8 2 = 78 + 64 = 142 \\ 142 + 10 2 = 142 + 100 = 242 \end{gathered}$$ 

Hence, the odd one in the given number series is 244.

The given number series is 96, 95, 87, 78, ? 

It follows a pattern that,

$$\begin{gathered} 96 \\ 96 - 1 2 = 95 \\ 95 - 2 3 = 95 - 8 = 87 \\ 87 - 3 2 = 87 - 9 = 78 \\ 78 - 4 3 = 78 - 64 = 14 \end{gathered}$$

Hence, the next number in the given number series is 14.

Here the given number series is 2 4 27 256 3125 46656

It follows a pattern that,

$$\begin{gathered} 1 1 = 1 \\ 2 2 = 4 \\ 3 3 = 27 \\ 4 4 = 256 \\ 5 5 = 3125 \\ 6 6 = 46656 \end{gathered}$$

Hence the wrong number in the given number series is 2 instead of 1.

The given number series is 720, 732, 708, 742, 696

720

720 + 12 = 732

732 - 24 = 708

708 + 36 = 744 (Not 742)

744 - 48 = 696

Hence, the odd man in the given number series is 742.

The given number series is 3, 12, 39, 120, 364

$$\begin{gathered} 3 \\ 3 + 3 2 = 3 + 9 = 12 \\ 12 + 3 3 = 12 + 27 = 39 \\ 39 + 3 4 = 39 + 81 = 120 \\ 120 + 3 5 = 120 + 243 = 363 ( Not 364 ) \end{gathered}$$

Here the given number series  3, 10.5, 36.75, 128.625, ? follows a pattern that

3

3 x 3.5 = 10.5

10.5 x 3.5 = 36.75

36.75 x 3.5 = 128.625

128.625 x 3.5 = 450.187

Hence the next number in the given number series is 450.187.

The given number series 2, 19, 0, 21, ?2, ? follows a pattern,

2

2 + 17 = 19

19 - 19 = 0

0 + 21 = 21

21 - 23 = -2

-2 + 25 = 23

Hence, the next number in the series is 23.

Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.

Hence, the odd number of the given numbers is 133.

Here the given number series is 5  11  21  44  ?  175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.