In a certain code language, 'LOMQG' is written as '16', 'WTQMC' is written as…
2024
In a certain code language, 'LOMQG' is written as '16', 'WTQMC' is written as '19'. What is the code for 'LSOMI' in that code language?
Answer: C. 17 — CONCEPTIn alphabet-position coding, replace each letter by its position A = 1, B = 2, …, Z = 26. A numerical rule is accepted only when the same rule…
- A.
18
- B.
16
- C.
17
- D.
20
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Correct answer: C
CONCEPT
In alphabet-position coding, replace each letter by its position A = 1, B = 2, …, Z = 26. A numerical rule is accepted only when the same rule reproduces every given example.
Here LOMQG has letter-position sum 64 and code 16, while WTQMC has sum 76 and code 19. Since 64 ÷ 16 = 4 and 76 ÷ 19 = 4, both examples establish the rule: code = letter-position sum ÷ 4.
APPLICATION
For LSOMI, the letter positions are L = 12, S = 19, O = 15, M = 13, and I = 9.
Add them: 12 + 19 + 15 + 13 + 9 = 68.
Apply the rule inferred from both examples: 68 ÷ 4 = 17.
CROSS-CHECK
Reverse the operation: 17 × 4 = 68, which is exactly the letter-position sum of LSOMI. Therefore, the code for LSOMI is 17.