7544 : 5322 :: 4673 : ? — Infer the consistent four-digit transformation applied to the first number and compute the image of the second.

Difficulty: Medium

Correct Answer: 2451

Explanation:


Introduction / Context:
Digit-wise analogies sometimes apply uniform arithmetic across positions. Here, 7544 maps to 5322. Notice each digit reduces by 2 (7→5, 5→3, 4→2, 4→2), which is equivalent to subtracting 2222 as a whole.



Given Data / Assumptions:

  • 7→5, 5→3, 4→2, 4→2 indicates '−2' per digit.
  • No borrows occur in 7544 − 2222, so the pattern is clean.
  • Apply the same '−2' per digit to 4673.


Concept / Approach:
The simplest consistent rule is subtract 2 from each digit, i.e., number − 2222.



Step-by-Step Solution:
1) Verify: 7544 − 2222 = 5322 (matches).2) Compute: 4673 − 2222 = 2451.



Verification / Alternative check:
Digit-wise check: 4→2, 6→4, 7→5, 3→1; result 2451.



Why Other Options Are Wrong:

  • 2367/2531/4472/2251: Do not result from subtracting 2222 from 4673; they break the consistent per-digit reduction.


Common Pitfalls:
Applying subtraction to the whole number with borrow errors rather than treating it digit-wise as the example implies.



Final Answer:
2451

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