Question 20
A machine converts any positive integer into a two-digit code as follows:
1. The first digit is the remainder when the integer is divided by 8.
2. The second digit is the remainder when it is divided by 13.
3. If the remainder on division by 13 is greater than 9, the second digit is just 9.
For example, 17 becomes 14. What is the smallest positive integer that becomes 12?
Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).
1. The first digit is the remainder when the integer is divided by 8.
2. The second digit is the remainder when it is divided by 13.
3. If the remainder on division by 13 is greater than 9, the second digit is just 9.
For example, 17 becomes 14. What is the smallest positive integer that becomes 12?
Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).