[User]
let N be the largest 3-digit positive integer with the property that the absolute value of the alternating sum (starting with adding the most significant digit) of the digits of n is divisible by 10. Find N mod 100.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the tenth greatest 3-digit positive integer with the property that the sum of the digits of n is divisible by 11. Find N.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 4-digit positive integer with the property that whenever one of its digits changes to 9, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the third smallest 5-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 6. Find N.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 2-digit positive integer with the property that whenever one of its digits changes to 4, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the tenth greatest 3-digit positive integer with the property that the sum of the digits of n is divisible by 7. Find N.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 3-digit positive integer with the property that whenever one of its digits changes to 5, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 2-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 5-digit positive integer with the property that whenever one of its digits changes to 5, the resulting number is a multiple of 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 10000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 1, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 3-digit positive integer with the property that whenever two of its digits changes to 8, the resulting number is a multiple of 6. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 4-digit positive integer with the property that whenever two of its digits changes to 3, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 4-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 6-digit positive integer with the property that whenever one of its digits changes to 1, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 6-digit positive integer with the property that whenever one of its digits changes to 3, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the minimum 2-digit positive integer with the property that the absolute value of the alternating sum (starting with adding the most significant digit) of the digits of n is divisible by 3. Find N mod 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 5-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 19. Let Q and R be the quotient and remainder, respectively, when N is divided by 10000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 3-digit positive integer with the property that whenever one of its digits changes to 6, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the third smallest 5-digit positive integer with the property that whenever you swap the positions of two of its adjacent digits, the resulting number is a multiple of 3. Find N.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 3-digit positive integer with the property that whenever one of its digits changes to 8, the resulting number is a multiple of 6. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the tenth smallest 2-digit positive integer with the property that the sum of the digits of n is divisible by 6. Find N.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 6-digit positive integer with the property that whenever one of its digits changes to 2, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 5, the resulting number is a multiple of 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 4-digit positive integer with the property that whenever one of its digits changes to 5, the resulting number is a multiple of 5. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 5, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 3-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 6. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the minimum 6-digit positive integer with the property that the absolute value of the alternating sum (starting with adding the most significant digit) of the digits of n is divisible by 4. Find N mod 100000.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 3-digit positive integer with the property that whenever one of its digits changes to 8, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 6-digit positive integer with the property that whenever two of its digits changes to 9, the resulting number is a multiple of 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 5-digit positive integer with the property that whenever two of its digits changes to 5, the resulting number is a multiple of 5. Let Q and R be the quotient and remainder, respectively, when N is divided by 10000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the greatest 3-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 19. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 6-digit positive integer with the property that whenever two of its digits changes to 5, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 3-digit positive integer with the property that whenever two of its digits changes to 8, the resulting number is a multiple of 12. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 6-digit positive integer with the property that whenever one of its digits changes to 5, the resulting number is a multiple of 5. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 6-digit positive integer with the property that whenever two of its digits changes to 4, the resulting number is a multiple of 12. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 4-digit positive integer with the property that whenever two of its digits changes to 5, the resulting number is a multiple of 5. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the minimum 2-digit positive integer with the property that the absolute value of the alternating sum (starting with adding the most significant digit) of the digits of n is divisible by 7. Find N mod 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 4-digit positive integer with the property that whenever one of its digits changes to 9, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the smallest 6-digit positive integer with the property that whenever one of its digits changes to 8, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 3-digit positive integer with the property that whenever two of its digits changes to 2, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 3-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 2-digit positive integer with the property that whenever two of its digits changes to 8, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 4-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 2-digit positive integer with the property that whenever two of its digits changes to 9, the resulting number is a multiple of 11. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 4-digit positive integer with the property that whenever two of its digits changes to 8, the resulting number is a multiple of 8. Let Q and R be the quotient and remainder, respectively, when N is divided by 1000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 6-digit positive integer with the property that whenever two of its digits changes to 6, the resulting number is a multiple of 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 2-digit positive integer with the property that whenever one of its digits changes to 1, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 6-digit positive integer with the property that whenever two of its digits changes to 9, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the maximum 5-digit positive integer with the property that whenever one of its digits changes to 7, the resulting number is a multiple of 3. Let Q and R be the quotient and remainder, respectively, when N is divided by 10000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the biggest 6-digit positive integer with the property that whenever two of its digits changes to 4, the resulting number is a multiple of 6. Let Q and R be the quotient and remainder, respectively, when N is divided by 100000. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 3-digit positive integer with the property that whenever two of its digits changes to 1, the resulting number is a multiple of 9. Let Q and R be the quotient and remainder, respectively, when N is divided by 100. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}


[User]
let N be the least 2-digit positive integer with the property that both the number and the number formed by reversing its digits are divisible by 7. Let Q and R be the quotient and remainder, respectively, when N is divided by 10. Find Q + R.

Present the answer in LaTex format: \boxed{Your answer}