When a positive integer N is divided by 7, the remainder is 3. When N is divided by 4, the remainder is 2. What is the smallest possible value of N?

✓ Correct Answer: Option A

From the conditions, N = 7k + 3 and N = 4m + 2. We list values: 7k+3: 10, 17, 24, 31... and 4m+2: 6, 10, 14, 18... The smallest common value is 10.