Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?
Q1. Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?
Answer: 143
Explanation: LCM(6,8,12) = 24; required number = 24k-1 and divisible by 13. Testing: 24×6-1 = 143 = 11×13. So 143 is the answer.