In a certain code language, 'MUTUAL' is written as '12121202113', 'MARKET' is written as '2051118113'. How will 'MODULE' be written in that language?

Question

Accepted Answer

Step 1: Analyze the given codes for 'MUTUAL' and 'MARKET'.

MUTUAL = 12121202113  
MARKET = 2051118113

Step 2: Break down the words and codes:  
M U T U A L  
1 2 1 2 1 2 0 2 1 1 3

M A R K E T  
2 0 5 1 1 1 8 1 1 3

Step 3: Observe the pattern:  
- The code seems to be a concatenation of numbers representing each letter.  
- Check the position of letters in the alphabet:  
  M = 13  
  U = 21  
  T = 20  
  A = 1   
  L = 12  
  R = 18  
  K = 11  
  E = 5

Step 4: Check if the code corresponds to the letter positions:  
- For MUTUAL:    
  M (13) -> 12 or 1 2  
  U (21) -> 12 or 2 1  
  T (20) -> 02 or 20  
  A (1) -> 1  
  L (12) -> 12

The code '12121202113' can be split as 12 12 12 02 11 3
This suggests the code is the letter position numbers concatenated.

Step 5: For MODULE:  
M = 13  
O = 15  
D = 4  
U = 21   
L = 12  
E = 5

Concatenate these: 13 15 4 21 12 5

Check options for this pattern:

Option 3: 5122141613  
Rearranged: 5 12 21 4 16 13 (doesn't match)

Option 2: 5122141513  
Rearranged: 5 12 21 4 15 13 (matches the letter  positions but reversed)

Step 6: The code seems to write the letter positions in reverse order for MODULE:  
E (5), L (12), U (21), D (4), O (15), M (13)  
Concatenate: 5 12 21 4 15 13 = 5122141513

Therefore, the code for MODULE is '5122141513'.

Step 7: Verify with options:
Option 2 matches this code.

Final Answer: Option 2

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