In a certain code language, ‘CYCLE’ is coded as ‘242241522’ and ‘FINAL’ is coded as ‘2118132615’. How will ‘MUSIC’ be coded in that language?

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Step 1: Analyze the given codes for CYCLE and FINAL.

CYCLE = 242241522
FINAL = 2118132615

Step 2: Break down the code for CYCLE by letters and their positions in the alphabet:
C = 3
Y = 25
C = 3
L = 12
E = 5

Look at the code: 24 22 41 522
Try to split the code into pairs or triplets corresponding to letters:
24 22 41 522
But the code length is 9 digits, and word length is 5 letters.
Try splitting as: 2 4 2 2 4 1 5 2 2
Try to map each letter to two digits:
C (3) -> 24
Y (25) -> 22
C (3) -> 41
L (12) -> 522
This doesn't fit well.

Try another approach: Maybe each letter is represented by two digits representing the letter's position and some transformation.

Check FINAL:
F = 6
I = 9
N = 14
A = 1
L = 12
Code: 21 18 13 26 15
Split into pairs:
21 18 13 26 15
Check if these numbers relate to letters:
21 = U
18 = R
13 = M
26 = Z
15 = O
No direct relation.

Try subtracting letter position from 27 (reverse alphabet):
For F (6): 27-6=21
For I (9): 27-9=18
For N (14): 27-14=13
For A (1): 27-1=26
For L (12): 27-12=15
This matches the code for FINAL perfectly.

Step 3: So the code is the reverse alphabetical position of each letter (27 - position).

Step 4: Apply this to MUSIC:
M = 13 -> 27-13=14
U = 21 -> 27-21=6
S = 19 -> 27-19=8
I = 9 -> 27-9=18
C = 3 -> 27-3=24

Step 5: Combine these numbers:
14 6 8 18 24

Step 6: Combine into a single code:
14681824

Step 7: Check options:
Option 1: 14681824 (matches)
Option 3: 146191824 (does not match)

But option 1 is 14681824, option 3 is 146191824.

Step 8: Since the code for FINAL matches the pattern of 27 - letter position, the code for MUSIC should be 14681824.

Therefore, the correct answer is option 1: 14681824.

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