Question
The largest three-digit number which gives the same
remainder 2 when divided by 3, 5 and 9 is _________.Solution
According to the questions, The highest three-digit number = 999 L. C. M of 3, 5, and 9 = 45 =999/45 Remainder = 9 So, the greatest number divisible by 3, 5 and 9 = 999-9 = 990 The required number that will leave the remainder 2 990 + 2 = 992 The highest three-digit number is 992.
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