If PARK is coded as 5394, SHIRT as 17698, and PANDIT as 532068 using a consistent letter-to-digit mapping, then what is the code for NISHAR?
Correct Answer: 261739
Introduction / Context:Here we infer a unique digit for each letter from multiple examples, then encode a new word using that deduced mapping.
Given Data / Assumptions:
- PARK -> 5 3 9 4
- SHIRT -> 1 7 6 9 8
- PANDIT -> 5 3 2 0 6 8
Concept / Approach:From these, deduce: P->5, A->3, R->9, K->4, S->1, H->7, I->6, T->8, N->2, D->0. The mapping is consistent across the samples.
Step-by-Step Solution:N->2I->6S->1H->7A->3R->9Hence NISHAR -> 261739.
Verification / Alternative check:Cross-checking letters that appear in multiple given words (e.g., P, A, I, T) confirms the mapping is stable.
Why Other Options Are Wrong:
- 266734 / 231954 / 201739: each mismaps at least one letter compared to the established mapping.
- None of these: Not needed since 261739 is consistent.
Common Pitfalls:Misreading digit order from the examples or assuming position-based digits; here digits are letter-specific, not position-specific.
Final Answer:261739