Mathematics · Number System
In a coding system, a number is coded as three digits representing the remainders when the number is divided by 3, 7, and 11, respectively. Examples: Example 1: 53 is coded as 2, 4, 9 (since 53 ÷ 3 leaves remainder 2, 53 ÷ 7 leaves 4, and 53 ÷ 11 leaves 9) Example 2: 68 is coded as 2, 5, 2 (since 68 ÷ 3 leaves remainder 2, 68 ÷ 7 leaves 5, and 68 ÷ 11 leaves 2) In the same way, what is the code for 77?
- 10, 0, 0
- 22, 0, 0✓
- 32, 1, 0
- 41, 1, 1
Correct answer
2, 0, 0
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