The number \(x\) is a positive odd integer. If the unit digit of \(x^3\) is subtracted from the unit digit of \(x^2,\)

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The number \(x\) is a positive odd integer. If the unit digit of \(x^3\) is subtracted from the unit digit of \(x^2,\) the result is \(0.\) What is the unit digit of the number \(x+7?\)

1) The unit digit of the product of \(105\) and \(x\) is \(5.\)
2) When \(x\) is divided by \(5,\) it leaves no remainder.

Answer: B

Source: e-GMAT