Question
The greatest number of four digits which when divided by
9, 12, 15 leave remainders 6, 9, 12 respectively is:Solution
The difference between divisor and the corresponding remainder is equal (i.e 3). LCM of 9, 12 and 15 = 180 Largest 4-digit number = 9999 After dividing 9999 by 180 we will get the remainder as 99. Therefore, the number divisible by 180 = 9999 – 99 = 9900 If 3 is subtracted from the number 9900 the resulting number will follow the condition in the question and that number is 9897.
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