Explanation

Statement (1)

Statement (1) implies that z = 8a + 2, where a is an integer. Therefore, since 8a is always divisible by 4, the remainder of (8a + 2) will always be 2. Statement (1) alone is sufficient.

The correct answer is either A or D.

Statement (2)

Statement (2) implies that z = 12a + 6, z = (12a + 4) + 2. Therefore, since 12a and 4 are always divisible by 4, the remainder of [(12a + 4)+2] will always be 2.

**The correct answer is D.**

Statement (1) implies that z = 8a + 2, where a is an integer. Therefore, since 8a is always divisible by 4, the remainder of (8a + 2) will always be 2. Statement (1) alone is sufficient.

The correct answer is either A or D.

Statement (2)

Statement (2) implies that z = 12a + 6, z = (12a + 4) + 2. Therefore, since 12a and 4 are always divisible by 4, the remainder of [(12a + 4)+2] will always be 2.

Remember finding the remainder when learning long division? Those were the days.