If \(t\) is a positive integer, can \(t^2 + 1\) be completely divided by \(10?\)

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If \(t\) is a positive integer, can \(t^2 + 1\) be completely divided by \(10?\)

(1) \(91^2 \cdot t\) leaves a remainder of \(1\) when divided by \(2.\)

(2) \(91^2 \cdot t = 5q+2,\) where \(q\) is a non-negative integer.

Answer: C

Source: e-GMAT
Source: — Data Sufficiency |