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In a certain code language, the word ‘WINDOW’ is coded as ‘IWDNWO’. How will ‘GOLDEN’ be written in that language?

Question

In a certain code language, the word ‘WINDOW’ is coded as ‘IWDNWO’. How will ‘GOLDEN’ be written in that language?

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Solution

To decode the word 'GOLDEN' using the same pattern observed in 'WINDOW' → 'IWDNWO', we will first analyze how the letters are being rearranged.

1. Break Down the Problem

  • Identify the position of each letter in 'WINDOW' and how they correspond to 'IWDNWO'.
  • Establish a systematic way to map letters from 'GOLDEN' according to the same pattern.

2. Relevant Concepts

From 'WINDOW' to 'IWDNWO':

  • The original positions of the letters in 'WINDOW' are 1: W, 2: I, 3: N, 4: D, 5: O, 6: W.
  • The coded version 'IWDNWO' suggests a rearrangement instead of a substitution.

Observing the rearrangement:

  • 1st letter: original 2nd (I)
  • 2nd letter: original 4th (D)
  • 3rd letter: original 3rd (N)
  • 4th letter: original 1st (W)
  • 5th letter: original 5th (O)
  • 6th letter: original 6th (W)

3. Analysis and Detail

We can represent the letter positions as follows:

  • For 'GOLDEN': 1: G 2: O 3: L 4: D 5: E 6: N

Using the same coding pattern (2, 4, 3, 1, 5, 6):

  • 1st letter: O (2nd position)
  • 2nd letter: D (4th position)
  • 3rd letter: L (3rd position)
  • 4th letter: G (1st position)
  • 5th letter: E (5th position)
  • 6th letter: N (6th position)

4. Verify and Summarize

Now, string them together:

  • O (2)
  • D (4)
  • L (3)
  • G (1)
  • E (5)
  • N (6)

Hence, the coded version of 'GOLDEN' is 'ODLGEN'.

Final Answer

The word 'GOLDEN' will be coded as 'ODLGEN'.

This problem has been solved

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