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In a code language, BAT is coded as EDW and AM is coded as CO, than the code for DEAR is?

Question

In a code language, BAT is coded as EDW and AM is coded as CO, than the code for DEAR is?

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Solution

To solve this coding problem, we need to analyze how the letters are transformed through the examples given.

1. Break Down the Problem

  • First, identify the relationship between the letters in "BAT" and "EDW".
  • Next, identify the relationship between the letters in "AM" and "CO".
  • Finally, use this pattern to code the word "DEAR".

2. Relevant Concepts

The coding seems to involve shifting letters in the alphabet. We will determine the shift by comparing corresponding letters.

3. Analysis and Detail

  • For "BAT" to "EDW":

    • B (2) → E (5): Shift of +3
    • A (1) → D (4): Shift of +3
    • T (20) → W (23): Shift of +3
  • For "AM" to "CO":

    • A (1) → C (3): Shift of +2
    • M (13) → O (15): Shift of +2

We observe that in the first coding the shift is +3 for every letter, while in the second coding, the shift is +2.

4. Verify and Summarize

Now, using the most relevant shift (which is consistent and larger, +3) to code "DEAR":

  • D (4) → G (7): Shift of +3
  • E (5) → H (8): Shift of +3
  • A (1) → D (4): Shift of +3
  • R (18) → U (21): Shift of +3

Final Answer

Thus, the code for "DEAR" is GHDU.

This problem has been solved

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