Directions: Identify the number that replaces the question mark (?) to complete the following series.

312, 80, 42, 44, 90, ?

The correct option is 362.

Step-by-step explanation:

To find the number that replaces the question mark (?) in the series, let us observe the pattern between consecutive terms:

$312\times 0.25+2=78+2=80$

$80\times 0.5+2=40+2=42$

$42\times 1+2=42+2=44$

$44\times 2+2=88+2=90$

The sequence follows a pattern where each term is multiplied by a factor that doubles at each step (0.25, 0.5, 1, 2, 4, ...) and then 2 is added to the result.

Applying this logic to find the missing term (?):

$90\times 4+2=360+2=362$

Thus, the number that completes the series is 362.