In a certain code, TEA = 33 and EAT = 67. Which of the following is equal to…
2023
In a certain code, TEA = 33 and EAT = 67. Which of the following is equal to ATE in the same code?
Answer: C. 56 — ConceptIn this positional coding rule, each letter’s alphabet position is multiplied by the place it occupies in the word: the first letter by 1, the second…
- A.
90
- B.
82
- C.
56
- D.
More than one of the above
- E.
None of the above
Show answer & explanation
Correct answer: C
Concept
In this positional coding rule, each letter’s alphabet position is multiplied by the place it occupies in the word: the first letter by 1, the second by 2, and the third by 3.
The same fixed weights must reproduce every example before they are used for the new arrangement.
Application
Use the alphabet positions A = 1, E = 5, and T = 20.
Verify the rule: TEA gives 20 × 1 + 5 × 2 + 1 × 3 = 33, while EAT gives 5 × 1 + 1 × 2 + 20 × 3 = 67.
Apply the same weights to ATE: 1 × 1 + 20 × 2 + 5 × 3 = 1 + 40 + 15 = 56.
Cross-check
The unchanged multipliers 1, 2, and 3 reproduce both supplied codes, so the rule is consistent across all three arrangements.
Therefore, ATE = 56.