Apply the established substitution from “ELEPHANT” → “57589143”: What is the code for “LEAP”?
Correct Answer: 7518
Introduction / Context:We are given a completed encoding for a longer word and asked to code a subword using the same one-to-one letter→digit mapping. This is a straightforward application once we extract the mapping from the exemplar.
Given Data / Assumptions:
- “ELEPHANT” → “57589143”.
- Target: “LEAP”.
- Mapping is consistent and letter-specific (no position-based trick).
Concept / Approach:Read off the mapping from the long word by aligning letters and digits in order. Then substitute for the letters in the shorter target word.
Step-by-Step Solution:
From ELEPHANT → 57589143 we get: E=5, L=7, E=5, P=8, H=9, A=1, N=4, T=3.Now encode LEAP: L(7) E(5) A(1) P(8) → 7 5 1 8.Therefore, the code is 7518.Verification / Alternative check:Recheck that every letter in LEAP appears in ELEPHANT’s mapping (they do). No ambiguity remains.
Why Other Options Are Wrong:
- 5618 / 6712 / 6518: Each changes a mapped digit (e.g., L must be 7), contradicting the established mapping.
- None of these: Not correct because 7518 is fully supported by the mapping.
Common Pitfalls:Misaligning letters with digits when extracting the map; mistakenly assuming position-based coding instead of substitution.
Final Answer:7518