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Question

DM3 is related to LU27 in a certain way. In the same way, AR12 is related to IZ1728. To which of the given options is DK13 related, following the same logic?

This question was previously asked in
RRB ALP 2025 CBT 2 Mechanic Motor Vehicle Question Paper (28-Jul-2026) (Shift 1)
The correct answer is
LS2197

Pattern Recognition Logic

The question presents a relationship between letter-number pairs and asks to apply the same logic to find a new pair.

Analyzing the Given Pairs

  • Pair 1: DM3 -> LU27
    • Letter Transformation: D (position 4) to L (position 12), M (position 13) to U (position 21). The difference in positions is \( 12 - 4 = 8 \) and \( 21 - 13 = 8 \).
    • Number Transformation: 3 to 27. This follows the pattern \( 3^3 = 27 \).
  • Pair 2: AR12 -> IZ1728
    • Letter Transformation: A (position 1) to I (position 9), R (position 18) to Z (position 26). The difference in positions is \( 9 - 1 = 8 \) and \( 26 - 18 = 8 \).
    • Number Transformation: 12 to 1728. This follows the pattern \( 12^3 = 1728 \).

Applying the Logic to DK13

The established pattern is: Add 8 to the alphabetical position of each letter, and cube the number.

  • Letter D (position 4): \( 4 + 8 = 12 \). The 12th letter is L.
  • Letter K (position 11): \( 11 + 8 = 19 \). The 19th letter is S.
  • Number 13: \( 13^3 = 2197 \).

Combining these results, DK13 relates to LS2197.

Conclusion

Following the established logic of adding 8 to letter positions and cubing the number, DK13 corresponds to LS2197.

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