Who am I?
I have digits 9, 1 and 5. I am less than 200. I have 9 ones. Which number am I?
159
I am a 3-digit number. I have only digits 4 and 0. Which number am I?
400 or 404 or 440 or 444
I am greater than 300 but less than 400. I have no tens. My ones and hundreds digits are the same. Which number am I?
303
Explanation
(i) The number is less than 200, so the hundreds digit must be 1. It has 9 ones, so the ones digit is 9. The remaining digit 5 goes in the tens place. Therefore, the number is 159. (ii) A 3-digit number using only digits 4 and 0 could be 400, 404, 440, or 444. The most common answer would be 400 (the simplest such number). (iii) The number is between 300 and 400, so the hundreds digit is 3. It has no tens, so the tens digit is 0. The ones and hundreds digits are the same, so the ones digit is also 3. Therefore, the number is 303.