If 39 is coded as 0, 4, 6, what is the code for 61?
Show answer & explanation
Correct answer: B
Explanation
39 is coded as 0, 4, 6 →
3 9
Digit 1 → Digit 2
Code digit 1 = (digit 1 ÷ 3) - 1 = (3 ÷ 3) - 1 = 0
Code digit 2 = (digit 1 ÷ 3) + 3 = (3 ÷ 3) + 3 = 4
Code digit 3 = 6 (constant)
Codes = 0, 4, 6
The observed pattern is: Code digit 1 = (first digit ÷ 3) - 1; Code digit 2 = (first digit ÷ 3) + 3; Code digit 3 = 6.
Similarly, let's find the code for 61:
6 1
Digit 1 Digit 2
Code digit 1 = (Digit 1 ÷ 3) - 1 = (6 ÷ 3) - 1 = 1
Code digit 2 = (Digit 1 ÷ 3) + 3 = (6 ÷ 3) + 3 = 5
Code digit 3 = 6 (constant)
Code = 1, 5, 6
Therefore, the code for '61' is 1, 5, 6.
Hence, the correct answer is "Option 2."