46, 50, 23, 39, -78, -50 Find the wrong number in the following number series.

The correct option is -78.

To find the wrong number in the given series, we can analyze the pattern of operations between consecutive terms:
The pattern alternates between adding the square of an even number and subtracting the cube of an odd number, starting with 2.

Let us calculate the terms step-by-step using this pattern:

1st Term = 46

2nd Term:
$46+2^2=46+4=50$

3rd Term:
$50-3^3=50-27=23$

4th Term:
$23+4^2=23+16=39$

5th Term (Expected):
$39-5^3=39-125=-86$
However, the given 5th term in the series is -78.

6th Term (Using the correct 5th term value of -86):
$-86+6^2=-86+36=-50$
This perfectly matches the final term of the given series (-50).

Therefore, the wrong number in the series is -78 (it should be -86).