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Example 6: Reverse positional sum coding

Last Updated On: Sat Aug 29 2026

Given Data

  1. In a certain code language, 'ZIP' is written as 30.

Question

How will 'CAT' be coded in that language?

Answer

57.

Solution

  1. Find the reverse alphabetical rank (27 - forward rank) for 'ZIP':
  2. Z = 27 - 26 = 1
  3. I = 27 - 9 = 18
  4. P = 27 - 16 = 11
  5. Sum of reverse ranks = 1 + 18 + 11 = 30.
  6. Apply the reverse rank sum rule to 'CAT':
  7. C = 27 - 3 = 24
  8. A = 27 - 1 = 26
  9. T = 27 - 20 = 7
  10. Sum = 24 + 26 + 7 = 57.
  11. Therefore, 'CAT' is coded as 57.
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