Question
The greatest number of four digits which when divided by
7, 9, 11 leave remainders 5, 7, 9 respectively is:Solution
The difference between divisor and the corresponding remainder is equal (i.e 2). LCM of 7, 9 and 11 = 693 Largest 4-digit number = 9999 After dividing 9999 by 693 we will get the remainder as 297. Therefore, the number divisible by 693 = 9999 – 297 = 9702 If 2 is subtracted from the number 9702 the resulting number will follow the condition in the question and that number is 9700.
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