A number N is such that when divided by 4, 6, 7 or 9, it leaves 3 as remainder. What is the smallest 4-digit number that satisfies this property?

Explanation

The LCM of 4, 6, 7, and 9 is 252. The numbers are of the form 252k + 3. For k = 4, 252(4) + 3 = 1008 + 3 = 1011, which is the smallest 4-digit number satisfying the condition.

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