In a certain coding language, ‘ROAD’ is coded as ‘6152’, and ‘ROAM’ is coded…
2026
In a certain coding language, ‘ROAD’ is coded as ‘6152’, and ‘ROAM’ is coded as ‘2951’. What code is assigned to ‘M’ in that language?
Answer: A. 9 — Concept: When two coded words share letters, their code strings share the symbols assigned to those common letters, even if the symbols are rearranged. The…
- A.
9
- B.
6
- C.
2
- D.
1
Attempted by 150 students.
Show answer & explanation
Correct answer: A
Concept: When two coded words share letters, their code strings share the symbols assigned to those common letters, even if the symbols are rearranged.
The symbol left after removing the common symbols corresponds to the letter left after removing the common letters.
Application
ROAD and ROAM share the letters R, O, and A; their unmatched letters are D and M.
The codes 6152 and 2951 share the digits 1, 2, and 5; their unmatched digits are 6 and 9.
D occurs only in ROAD, while 6 occurs only in 6152, so D maps to 6. Therefore, M maps to 9.
Cross-check
ROAM has the extra letter M, and its code 2951 has the extra digit 9. This confirms M → 9, so the required code is 9.