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PUZZLE CLASSIC #93

Is There Such A Number?
Is There Such A Number?

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Today's Puzzle

Is There Such A Number?

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EXPLANATIONS
remainder 1
remainder 2
remainder 3
remainder 4
Is There Such A Number?
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9

Is there such a number which when divided by 3 gives a remainder of 1; when divided by 4, gives a remainder of 2; when divided by 5, gives a remainder of 3; and when divided by 6 gives the remainder of 4?

They say the smallest such a number would be...