IMC 2011 Q6
6. When I glanced at my car milometer it showed 24942, a palindromic number. Two days later, I noticed that it showed the next palindromic number. How many miles did my car travel in those two days?
- A 100
- B 110
- C 200
- D 220
- E 1010
Intermediate Mathematical Challenge 2011, Question 6. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B 110
The next palindromic number after 24942 is 25052, so the car travelled 110 miles in the two days.
Solution © UK Mathematics Trust, from the IMC 2011 solutions. Longer versions with investigations: Solutions and investigations (PDF).