In a certain coding language: (a) ‘ON’ is coded as 210 (b) ‘OFF’ is coded as…
2023
In a certain coding language:
(a) ‘ON’ is coded as 210
(b) ‘OFF’ is coded as 540
How will ‘SET’ be coded in that language?
Answer: D. 1900 — CONCEPTIn alphabet-position coding, assign A = 1, B = 2, ..., Z = 26. When the examples match, multiply the positions of all letters to obtain the word code.…
- A.
1600
- B.
1850
- C.
1700
- D.
1900
Show answer & explanation
Correct answer: D
CONCEPT
In alphabet-position coding, assign A = 1, B = 2, ..., Z = 26. When the examples match, multiply the positions of all letters to obtain the word code.
The same rule must reproduce every supplied example before it is applied to the new word.
APPLICATION
For ON, O = 15 and N = 14; 15 × 14 = 210, matching the given code.
For OFF, O = 15 and F = 6; 15 × 6 × 6 = 540, again matching the given code.
For SET, S = 19, E = 5, and T = 20.
Therefore, 19 × 5 × 20 = 1900.
CROSS-CHECK
Group the last two factors first: 5 × 20 = 100, and 19 × 100 = 1900. Thus SET is coded as 1900.