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Question

If FRANCE is coded as 654321 and GERMANY as 9158437, then how is YEMEN coded?

The correct answer is

71813

Solving Letter Coding Puzzles

This problem is a classic example of a letter coding puzzle where each letter is assigned a unique numerical digit. To solve this, we need to carefully observe the given codes for the words "FRANCE" and "GERMANY" and determine the numerical value assigned to each letter.

Analyzing the Given Codes

We are given the following codes:

  • FRANCE is coded as 654321
  • GERMANY is coded as 9158437

Let's break down the codes for each letter based on the given words:

Word Letters Code Individual Letter Codes
FRANCE F, R, A, N, C, E 654321 F=6, R=5, A=4, N=3, C=2, E=1
GERMANY G, E, R, M, A, N, Y 9158437 G=9, E=1, R=5, M=8, A=4, N=3, Y=7

Now, let's check for consistency for letters that appear in both words:

  • The letter 'R' is coded as 5 in both FRANCE and GERMANY.
  • The letter 'A' is coded as 4 in both FRANCE and GERMANY.
  • The letter 'N' is coded as 3 in both FRANCE and GERMANY.
  • The letter 'E' is coded as 1 in both FRANCE and GERMANY.

The coding is consistent across both words. This confirms that it's a direct letter-to-digit substitution cipher.

Coding the Word YEMEN

Now we need to find the code for the word "YEMEN" using the individual letter codes we've identified from FRANCE and GERMANY.

  • For 'Y', look at the code for GERMANY: Y = 7
  • For 'E', look at the code for FRANCE or GERMANY: E = 1
  • For 'M', look at the code for GERMANY: M = 8
  • For 'E', look at the code for FRANCE or GERMANY: E = 1
  • For 'N', look at the code for FRANCE or GERMANY: N = 3

Putting the codes for each letter of YEMEN together:

  • Y → 7
  • E → 1
  • M → 8
  • E → 1
  • N → 3

So, the code for YEMEN is 71813.

Final Coded Word

The code for YEMEN is 71813.

Revision Table: Letter Coding Analysis

Letter Code Source Word(s)
F 6 FRANCE
R 5 FRANCE, GERMANY
A 4 FRANCE, GERMANY
N 3 FRANCE, GERMANY
C 2 FRANCE
E 1 FRANCE, GERMANY
G 9 GERMANY
M 8 GERMANY
Y 7 GERMANY

Additional Information: Understanding Coding-Decoding

Coding-decoding questions are common in reasoning ability sections of competitive exams. They test your ability to decipher a pattern or rule applied to letters, words, or numbers and then apply that rule to find a missing term. Common types include:

  • Letter Coding: Letters are replaced by other letters or numbers based on a specific rule (e.g., shifting positions in the alphabet, direct substitution as in this problem).
  • Number Coding: Words are coded into numbers based on rules like letter positions in the alphabet, vowel/consonant counts, or assignment of fixed values to letters.
  • Symbol Coding: Letters or words are coded using symbols.

The key to solving these problems is careful observation of the given examples to identify the underlying pattern or rule. Once the rule is found, apply it consistently to the question asked.

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