A number is such that when divided by 3, 5, 6 or 7 it leaves the remainder 1,3,4 or 5 resp. Which is the largest number below 4000 that satisfies this property?

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Pranitha PatnamAlgebraArithmeticCalculus11-12th,Graduate,Undergraduate
A number is such that when divided by 3, 5, 6 or 7 it leaves the remainder 1,3,4 or 5 resp. Which is the largest number below 4000 that satisfies this property?