A code rearranges a six-letter word by taking its letters in the order 1, 4,…
2023
A code rearranges a six-letter word by taking its letters in the order 1, 4, 5, 2, 3, 6; for example, REMOTE is written as ROTEME. Which word would be coded as SLOWLY?
Answer: B. SWLLOY — ConceptA positional rearrangement code fixes the order in which input letters become output letters. To decode a given output, assign each coded position back…
- A.
SLYLWO
- B.
SWLLOY
- C.
SYLLWO
- D.
More than one of the above
- E.
None of the above
Show answer & explanation
Correct answer: B
Concept
A positional rearrangement code fixes the order in which input letters become output letters. To decode a given output, assign each coded position back to the input position named by the rule.
Application
The stated code order is 1, 4, 5, 2, 3, 6, as the example REMOTE → ROTEME illustrates.
Let the required original word be x1x2x3x4x5x6. Its code is x1x4x5x2x3x6 = SLOWLY.
Match positions: x1=S, x4=L, x5=O, x2=W, x3=L, and x6=Y.
Restoring the original order x1x2x3x4x5x6 gives SWLLOY.
Cross-check
Encoding SWLLOY with the same 1, 4, 5, 2, 3, 6 order produces SLOWLY. Therefore the required word is SWLLOY.