Letter-to-digit coding: GRAPE → 27354 and FOUR → 1687. Using the same mapping, how is GROUP coded?

Difficulty: Easy

Correct Answer: 27685

Explanation:


Introduction / Context:
We again have a direct substitution mapping letters to digits, with two examples sufficient to determine all letters in the target word.



Given Data / Assumptions:

  • From GRAPE: G→2, R→7, A→3, P→5, E→4.
  • From FOUR: F→1, O→6, U→8, R→7 (confirms).
  • Target word: GROUP = G R O U P.


Concept / Approach:
Substitute each letter using the fixed mapping dictionary.



Step-by-Step Solution:
G→2, R→7, O→6, U→8, P→5 → 27685.



Verification / Alternative check:
All letters used in GROUP appear in the examples; there is no ambiguity.



Why Other Options Are Wrong:

  • Each alternative mis-maps at least one letter (e.g., swaps last two digits or changes O/U values).


Common Pitfalls:
Reordering digits or forgetting previously established mappings.



Final Answer:
27685

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