\(X\) is a three-digit positive integer in which each digit is either \(1\) or \(2.\) \(Y\) has the same digits as \(X\)

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\(X\) is a three-digit positive integer in which each digit is either \(1\) or \(2.\) \(Y\) has the same digits as \(X,\) but in reverse order. What is the remainder when \(X\) is divided by \(3?\)

(1) The hundreds digit of \(XY\) is \(6.\)
(2) The tens digit of \(XY\) is \(4.\)

Answer: A

Source: Manhattan GMAT
Source: — Data Sufficiency |