Two numbers, 4242 and 2903, when divided by the same three-digit divisor, leave identical remainders. What is the divisor?

Explanation

To find the divisor that leaves the same remainder when dividing both numbers, subtract the smaller number from the larger one: 4242 - 2903 = 1339. The divisor must be a factor of 1339. Checking the options, 103 divides 1339 exactly (1339 ÷ 103 = 13), so the divisor is 103.