Explanation:

Let's analyze the series step-by-step:

8, 9, 5, 16, 27, 25, 32, 81, 125, ?, 243, ?

- The sequence alternates between two different patterns:

- Odd position: 8, 5, 27, 32, 125, ?

- Even position: 9, 16, 25, 81, ?, ?

- Odd positions (1st, 3rd, 5th, etc.): 8, 5, 27, 32, 125, ?

- (1) 8 ? (2³)

- (3) 5

- (5) 27 ? (3³)

- (7) 32 ? (25)

- (9) 125 ? (5³)

- (11) ? Should be (35 = 243, but 243 is in an even position)

- Even positions (2nd, 4th, 6th, etc.): 9, 16, 25, 81, ?, ?

- (2) 9 (3²)

- (4) 16 (4²)

- (6) 25 (5²)

- (8) 81 (9²)

- (10) ?

- Looking more closely:

- Even places: seem to be perfect squares (3², 4², 5², 9², ... so next is 8² = 64)

- Odd places: seem to involve cubes (2³, 3³, 5³ = 8, 27, 125), and some powers (25 = 32)

- After 125 (5³), the next odd slot should be a 5th power for the previous base, probably 54 = 625.

Let's map options:

- Option 1: 64, 375

- Option 2: 325, 64

- Option 3: 64, 625

- Option 4: 375, 64

Option 3 is correct because:

- Tenth position (even) is 64 (8²)

- Twelfth position (odd pattern) is 625 (54)

Correct Option:

Option 3: 64, 625