In the following examples, 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 → (53 ÷ 3 = 17 R2, 53 ÷ 7 = 7 R4, 53 ÷ 11 = 4 R9) → Code: 2, 4, 9
Example 2:68 → (68 ÷ 3 = 22 R2, 68 ÷ 7 = 9 R5, 68 ÷ 11 = 6 R2) → Code: 2, 5, 2
In the same way, what is the code for 77?
Show answer & explanation
Correct answer: D
Explanation
Code: remainders when number is divided by 3, 7, and 11
For 77:
77 ÷ 3 → remainder 2
77 ÷ 7 → remainder 0
77 ÷ 11 → remainder 0
Hence, the correct answer is option 4 i.e., (2, 0, 0)