If A = 2, B = 4, C = 6, and so on, what is the code for G R U Z?
2021
If A = 2, B = 4, C = 6, and so on, what is the code for G R U Z?
Answer: C. 14 36 42 52 — ConceptIn alphabet–number coding, first assign each letter its ordinal position: A = 1, B = 2, …, Z = 26. When A maps to 2, B to 4, and C to 6, the rule is to…
- A.
14 27 34 44
- B.
14 26 38 50
- C.
14 36 42 52
- D.
14 26 42 56
Show answer & explanation
Correct answer: C
Concept
In alphabet–number coding, first assign each letter its ordinal position: A = 1, B = 2, …, Z = 26. When A maps to 2, B to 4, and C to 6, the rule is to multiply every alphabet position by 2.
Apply that same rule independently to each letter and preserve the original letter order when forming the code.
Application
Identify the alphabet positions: G = 7, R = 18, U = 21, and Z = 26.
Multiply each position by 2: G → 2 × 7 = 14; R → 2 × 18 = 36; U → 2 × 21 = 42; Z → 2 × 26 = 52.
Keep the values in G–R–U–Z order to obtain 14 36 42 52.
Cross-check
Reverse the coding by dividing each value by 2: 14, 36, 42, 52 becomes 7, 18, 21, 26, which maps back to G, R, U, Z.
Therefore, the code is 14 36 42 52.