There are two natural numbers x and y, where x \gt y. When x is divided by 6, it leaves the remainder 2 and; when y is divided by 6, it leaves the remainder 3. What is the remainder when (x-y) is divided by 6?
- A. 1
- B. 3
- C. 5 ✓
- D. Remainder cannot be determined
Correct Answer: C. 5
Explanation
We are given x \equiv 2 \pmod{6} and y \equiv 3 \pmod{6}. Then (x-y) \equiv 2 - 3 \equiv -1 \pmod{6}. Adding 6 to find the positive remainder gives -1 + 6 = 5.
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