When positive integer \(n\) is divided by 3, the remainder is 2; and when positive integer \(t\) is divided by 5...

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When positive integer \(n\) is divided by 3, the remainder is 2; and when positive integer \(t\) is divided by 5, the remainder is 3. What is the remainder when the product \(nt\) is divided by 15?

\((1)\, n - 2\) is divisible by 5.
\((2)\, t\) is divisible by 3.

Answer: C

Source: GMAT Prep
Source: — Data Sufficiency |