If \(t\) is a positive integer, can \((t+2)(t-3)\) be completely divided by \(6?\)

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If \(t\) is a positive integer, can \((t+2)(t-3)\) be completely divided by \(6?\)

(1) \(t^2 +1\) is not divisible by \(2.\)

(2) \(t\) is a \(3\)-digit number, whose digits are consecutive integers.

Answer: B

Source: e-GMAT
Source: — Data Sufficiency |