What is the largest four-digit number that leaves remainders of 4, 9, 15, and 22 when divided by 10, 15, 21, and 28 respectively?

Explanation

The correct answer is 9654. This number, when divided by 10, 15, 21, and 28, leaves remainders 4, 9, 15, and 22 respectively, satisfying all the given conditions.