If \(t\) is a positive integer and \(r\) is the remainder when \(t^2 + 5t + 6\) is divided by \(7,\) what is the value

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If \(t\) is a positive integer and \(r\) is the remainder when \(t^2 + 5t + 6\) is divided by \(7,\) what is the value of \(r?\)

(1) When \(t\) is divided by \(7,\) the remainder is \(6.\)
(2) When \(t^2\) is divided by \(7,\) the remainder is \(1.\)

Answer: A

Source: GMAT Prep