In a code language, 'ACTING' is coded as ‘ZXGRMT’ and 'CABALS' is coded as ‘XZYZOH’. How will 'EAGLET' be coded in the same language?
To solve the given coding problem, let's break down the pattern used in the code language by analyzing the conversion of each letter from the word 'ACTING' to 'ZXGRMT'.
- Step 1: Write down the positions of the letters in the alphabet.
| Letter | A | C | T | I | N | G |
|---|---|---|---|---|---|---|
| Position | 1 | 3 | 20 | 9 | 14 | 7 |
- Step 2: Write down the corresponding coded letters 'ZXGRMT' and their positions in the alphabet.
| Letter | Z | X | G | R | M | T |
|---|---|---|---|---|---|---|
| Position | 26 | 24 | 7 | 18 | 13 | 20 |
- Step 3: Determine the transformation rule for each letter.
- A (1) is changed to Z (26): the transformation is 27 - Position (1) = 26.
- C (3) is changed to X (24): the transformation is 27 - Position (3) = 24.
- T (20) remains as T (20): same letter, no transformation needed.
- I (9) is changed to R (18): the transformation is 27 - Position (9) = 18.
- N (14) is changed to M (13): the transformation is 27 - Position (14) = 13.
- G (7) remains as G (7): same letter, no transformation needed.
- Step 4: Apply this transformation rule to 'EAGLET'.
| Letter | E | A | G | L | E | T |
|---|---|---|---|---|---|---|
| Position | 5 | 1 | 7 | 12 | 5 | 20 |
- Step 5: Calculate the code for each letter.
- E (5): 27 - 5 = 22, which corresponds to V.
- A (1): 27 - 1 = 26, which corresponds to Z.
- G (7) remains as G (7).
- L (12): 27 - 12 = 15, which corresponds to O.
- E (5): 27 - 5 = 22, which corresponds to V.
- T (20) remains as T (20).
Therefore, the code for 'EAGLET' in this language is VZTOVG.
Hence, the correct answer is: VZTOVG
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