In a certain code language, POETRY is coded as FPQZSU. How is MAGLEV coded in that language?
Question
In a certain code language, POETRY is coded as FPQZSU. How is MAGLEV coded in that language?
Solution
To find out how "MAGLEV" is coded in the same way as "POETRY" is coded as "FPQZSU," we need to analyze the coding pattern first.
1. Break Down the Problem
Identify the pattern used in the conversion from "POETRY" to "FPQZSU."
2. Relevant Concepts
We will analyze the position changes for each letter.
- P → F: P is the 16th letter, F is the 6th letter. (Move back by 10)
- O → P: O is the 15th letter, P is the 16th letter. (Move forward by 1)
- E → Q: E is the 5th letter, Q is the 17th letter. (Move forward by 12)
- T → Z: T is the 20th letter, Z is the 26th letter. (Move forward by 6)
- R → S: R is the 18th letter, S is the 19th letter. (Move forward by 1)
- Y → U: Y is the 25th letter, U is the 21st letter. (Move back by 4)
3. Analyze and Detail
The pattern starts showing a mixture of -10, +1, +12, +6, +1, -4:
- Letters in "MAGLEV":
- M: 13th letter
- A: 1st letter
- G: 7th letter
- L: 12th letter
- E: 5th letter
- V: 22nd letter
Using the same shifts:
- M (13) - 10 = C (3)
- A (1) + 1 = B (2)
- G (7) + 12 = S (19, wrapping around)
- L (12) + 6 = R (18)
- E (5) + 1 = F (6)
- V (22) - 4 = R (18)
From this pattern, the coded version of "MAGLEV" is "CBSRFR."
4. Verify and Summarize
The shifts matched the previous patterns established. Each letter shifted according to the established coding scheme, and re-evaluating confirms the pattern holds.
Final Answer
MAGLEV is coded as CBSRFR in the same code language.
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