Explanation:

Let’s dig in and see how ABIDE becomes 14811625.

- Look at ABIDE:

- A=1, B=2, I=9, D=4, E=5 (these are their positions in the alphabet).

- But the coded number is 14811625.

- Here’s what jumps out: For each letter, write its position squared.

- A = 1 ? 1² = 1

- B = 2 ? 2² = 4

- I = 9 ? 9² = 81

- D = 4 ? 4² = 16

- E = 5 ? 5² = 25

- Put them all together and you get 1 4 81 16 25 ? 14811625.

Let’s do the same for CAGED:

- C = 3 ? 9

- A = 1 ? 1

- G = 7 ? 49

- E = 5 ? 25

- D = 4 ? 16

- So, you get: 9 1 49 25 16 ? 91492516

Now—quick check on the options:

- Option 1: 91492516

- Option 2: 91416514 (49 is missing, 16 instead of 25 in the third spot—nope)

- Option 3: 61492516 (first digit is wrong—should be 9 not 6)

- Option 4: 81493514 (order and numbers are off)

So, option 1 is the only answer that fits.