Find out the missing term of the number series given below.

54, 67, 50, 63, 46, ?

The correct option is 59.

To find the missing term in the number series, let us analyze the step-by-step pattern between consecutive terms:

First term: 54
Second term: 67

Difference between the first two terms:

$67-54=+13$

Third term: 50
Difference between the second and third terms:

$50-67=-17$

Fourth term: 63
Difference between the third and fourth terms:

$63-50=+13$

Fifth term: 46
Difference between the fourth and fifth terms:

$46-63=-17$

We observe an alternating pattern of adding 13 and subtracting 17:

$+13,-17,+13,-17,...$

Following this pattern, to find the next term (the missing term), we need to add 13 to the fifth term (46):

$46+13=59$

Alternatively, we can look at two alternating sub-series:

Sub-series 1 (odd-positioned terms): 54, 50, 46 (decreasing by 4 each time)
Sub-series 2 (even-positioned terms): 67, 63, ? (decreasing by 4 each time)

$63-4=59$

Hence, the missing term is 59.