Question

The greatest number of four digits which when divided by 8, 10, 12 leave remainders 5, 7, 9 respectively is:

Q: Answer-The greatest number of four digits which when divided by 8, 10, 12 leave remainders 5, 7, 9 respecti...

The difference between divisor and the corresponding remainder is equal i.e 3. LCM of 8, 10 and 12 120 Largest 4-digit number 9999 After dividing 9999 by 120 we will get the remainder as 39. Therefore, the number divisible by 120 9999 39 9960 If 3 is subtracted from the number 9960 the resulting number will follow the condition in the question and that number is 9957.