What is the smallest multiple of 13 that, when divided by 6, 8, and 12, leaves remainders of 5, 7, and 11 respectively?

Explanation

The number sought must be divisible by 13 and satisfy the remainder conditions: leaving 5 when divided by 6, 7 when divided by 8, and 11 when divided by 12. Among the given choices, 143 is the smallest number meeting all these criteria.