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?
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'.
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