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In a certain code, FIRE is written as QH...

In a certain code, FIRE is written as QHOE and MOVE as ZMWE. Following the same rule of coding, what should be the code for the word OVER?

A

MWED

B

MWEO

C

MWOE

D

MWZO

Text Solution

AI Generated Solution

The correct Answer is:
To solve the coding problem where the word "OVER" needs to be encoded based on the given examples, we will analyze the coding pattern used in the examples of "FIRE" and "MOVE". ### Step-by-Step Solution: 1. **Identify the Pattern from the Examples**: - The word "FIRE" is coded as "QHOE". - The word "MOVE" is coded as "ZMWE". 2. **Analyze the Letters**: - Let's break down the coding for "FIRE": - F (6) → Q (17): The letter F is shifted forward by 11 positions in the alphabet. - I (9) → H (8): The letter I is shifted backward by 1 position. - R (18) → O (15): The letter R is shifted backward by 3 positions. - E (5) → E (5): The letter E remains the same. - Now, let's analyze "MOVE": - M (13) → Z (26): The letter M is shifted forward by 13 positions. - O (15) → M (13): The letter O is shifted backward by 2 positions. - V (22) → W (23): The letter V is shifted forward by 1 position. - E (5) → E (5): The letter E remains the same. 3. **Determine the Pattern**: - From the analysis, we can see that there is a pattern of shifting letters: - The first letter is shifted forward by a certain number. - The second letter is shifted backward by a certain number. - The third letter is shifted forward or backward by a certain number. - The fourth letter remains the same. 4. **Apply the Pattern to "OVER"**: - O (15): Following the pattern, we will shift it forward by 11 positions → O (15) + 11 = Z (26). - V (22): We will shift it backward by 2 positions → V (22) - 2 = T (20). - E (5): It remains the same → E (5) = E (5). - R (18): We will shift it backward by 3 positions → R (18) - 3 = O (15). 5. **Combine the Results**: - The coded letters for "OVER" are Z, T, E, O. 6. **Final Code**: - Therefore, the code for the word "OVER" is **ZTEO**.
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