Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
Q1. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
Answer: 9654
Explanation: Each divisor exceeds its remainder by 6; LCM(10,15,21,28) = 420; largest 4-digit multiple = 9660; answer = 9660 − 6 = 9654.