In a certain code language, each letter is replaced by a number. “CHAIR” is…
2024
In a certain code language, each letter is replaced by a number. “CHAIR” is coded as 61621836, “TABLE” as 40242410, and “STOOL” as 3840303024. How will “SOFASET” be coded in the same language?
Answer: C. 3830122381040 — ConceptIn alphabet-position coding, first assign A = 1, B = 2, and so on up to Z = 26. A uniform rule then transforms each position into its code value. After…
- A.
362810236840
- B.
3830123281400
- C.
3830122381040
- D.
362810328640
Show answer & explanation
Correct answer: C
Concept
In alphabet-position coding, first assign A = 1, B = 2, and so on up to Z = 26. A uniform rule then transforms each position into its code value.
After transforming the letters independently, concatenate the code values in the original left-to-right letter order.
Application
The examples show that each alphabet position is doubled: C has position 3 and gives 6; H has position 8 and gives 16.
For SOFASET, the alphabet positions are S = 19, O = 15, F = 6, A = 1, S = 19, E = 5, and T = 20.
Doubling these positions gives 38, 30, 12, 2, 38, 10, and 40.
Concatenating them from left to right gives 3830122381040.
Cross-check
For TABLE, doubling T = 20, A = 1, B = 2, L = 12, and E = 5 gives 40 | 2 | 4 | 24 | 10 = 40242410, exactly matching the example.
Therefore, SOFASET is coded as 3830122381040.