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28In certain code, MIRACLE is written as NKUEHRL. How is GAMBLE written in that code?AAELGMNBJDOCMFCCLEMNKDHCPFQK

Question

In certain code, MIRACLE is written as NKUEHRL. How is GAMBLE written in that code?

AAELGMNBJDOCMFCCLEMNKDHCPFQK

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Solution

Step 1: Break Down the Problem

We need to determine the coding pattern used to transform the word "MIRACLE" into "NKUEHRL" and then apply the same transformation to the word "GAMBLE".

Step 2: Relevant Concepts

  1. Analyze the transformation of each individual letter from "MIRACLE" to "NKUEHRL":
    • M → N
    • I → K
    • R → U
    • A → E
    • C → H
    • L → R
    • E → L

Step 3: Analyze Each Letter's Transformation

Let's analyze the shifts for each letter:

  • M (13) to N (14): +1
  • I (9) to K (11): +2
  • R (18) to U (21): +3
  • A (1) to E (5): +4
  • C (3) to H (8): +5
  • L (12) to R (18): +6
  • E (5) to L (12): +7

Here we observe a pattern of increasing positional shifts: +1, +2, +3, +4, +5, +6, +7 for each corresponding letter.

Step 4: Apply the Same Logic to "GAMBLE"

Let's apply the same shifts to the word "GAMBLE":

  • G (7) → H (8) [shift +1]
  • A (1) → C (3) [shift +2]
  • M (13) → P (16) [shift +3]
  • B (2) → F (6) [shift +4]
  • L (12) → R (18) [shift +5]
  • E (5) → L (12) [shift +6]

Step 5: Verify and Summarize

Let's combine the transformed letters:

  • H from G
  • C from A
  • P from M
  • F from B
  • R from L
  • L from E

Thus, "GAMBLE" is coded as "HCPFRL".

Final Answer

The code for "GAMBLE" is HCPFRL.

This problem has been solved

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