Letter-to-digit coding consistency: Given PKROK = 72962 and KRRPK = 29972 using a fixed mapping, determine the correct code for NJMLZ.

Difficulty: Hard

Correct Answer: None of these

Explanation:


Introduction / Context:
We are provided two encodings—PKROK → 72962 and KRRPK → 29972—suggesting a one-to-one letter→digit substitution applied consistently. The question asks for the code of NJMLZ. However, only some letters’ digit values are inferable from the given pairs; others never appear and thus have no deducible digits. We must check whether any option is compatible with the partial mapping implied by the examples.


Given Data / Assumptions:

  • From PKROK = 7 2 9 6 2 we get: P = 7, K = 2, R = 9, O = 6.
  • From KRRPK = 2 9 9 7 2 we confirm: K = 2, R = 9, P = 7 (consistent).
  • Target letters: N, J, M, L, Z are never seen in the givens.
  • Assume a simple monoalphabetic letter→digit substitution (no positional rules, no arithmetic, no repetition constraints beyond consistency).


Concept / Approach:
With P, K, R, O determined, there is no direct information for N, J, M, L, Z. To accept any choice, it must at least not contradict the known assignments (e.g., by implying a different value for K, R, P, O). But since the target letters are all unseen, every numerical string would be equally possible unless additional constraints are specified (like “distinct digits for distinct letters” and a full mapping table). In the absence of such constraints, the problem is underdetermined.


Step-by-Step Solution:

List known mappings: P=7, K=2, R=9, O=6.Target code uses only N, J, M, L, Z. None of these has a known digit.Therefore, multiple encodings could satisfy a consistent extension, and no single numeric candidate can be uniquely justified.


Verification / Alternative check:
Attempting to deduce a hidden arithmetic rule (e.g., alphabet positions mod 10, keypad mapping) contradicts the explicit fixed-letter mapping in the givens (for instance, keypad would not yield K=2 and P=7 simultaneously in the shown way). Hence the data provided are insufficient to pin down a unique answer.


Why Other Options Are Wrong:

  • All numeric options A–D arbitrarily assign digits to unseen letters without any supporting constraint. None is provably correct from the given evidence.


Common Pitfalls:
Forcing an answer by pattern-guessing when the dataset does not constrain unseen letters; proper reasoning recognizes under-determination and avoids unfounded selection.


Final Answer:
None of these

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