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Question

In a certain code, SACK is coded as RZBJ, then how is AMOUNT coded in the same way?

This question was previously asked in
SSC GD 2018 Question Paper Hindi (09-Mar-2019) (Shift 1)
The correct answer is

ZLNTMS

Solving the AMOUNT Coding Puzzle

Identifying the SACK to RZBJ Code Pattern

The coding pattern involves replacing each letter in the original word with the letter that comes immediately before it in the English alphabet. This involves a backward shift of one position.

Analysis of SACK to RZBJ:

  • S (19th letter) shifts to R (18th letter). Calculation: $19 - 1 = 18$.
  • A (1st letter) shifts to Z (26th letter). Calculation: $1 - 1 = 0$, which wraps around to the 26th position ($0 \equiv 26 \pmod{26}$).
  • C (3rd letter) shifts to B (2nd letter). Calculation: $3 - 1 = 2$.
  • K (11th letter) shifts to J (10th letter). Calculation: $11 - 1 = 10$.

The pattern is consistently a shift of -1 position for each letter.

Applying the Pattern to Code AMOUNT

Using the identified -1 shift pattern, we can code the word AMOUNT:

  • A (1st letter) becomes Z (26th letter). Calculation: $1 - 1 \equiv 26 \pmod{26}$.
  • M (13th letter) becomes L (12th letter). Calculation: $13 - 1 = 12$.
  • O (15th letter) becomes N (14th letter). Calculation: $15 - 1 = 14$.
  • U (21st letter) becomes T (20th letter). Calculation: $21 - 1 = 20$.
  • N (14th letter) becomes M (13th letter). Calculation: $14 - 1 = 13$.
  • T (20th letter) becomes S (19th letter). Calculation: $20 - 1 = 19$.

Therefore, the word AMOUNT is coded as ZLNTMS.

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