**Find the least number which when divided by 8, 9, 15, 24, 32 and 36 leaves remainders 3, 4, 10, 19, 27 and 31 respectively?**

**Ans:**4

**Solution: ** We can assume that the difference between the numbers and their remainders is same i.e., 8-3 = 9-4 = 15-10 = 24-19 = 32-27 = 36-31 = 5

So, required answer is: LCM (8, 9, 15, 24, 32, 36) – 5 = > 2880 – 5 = 2875

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