Let \(abc\) denote the digits of a three-digit number. Is this number divisible by \(7?\)

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Let \(abc\) denote the digits of a three-digit number. Is this number divisible by \(7?\)

(1) The two-digit number \(bc\) is divisible by \(7.\)

(2) \(a + b + c = S,\) and \(S\) is divisible by \(7.\)

Answer: E

Source: Magoosh