These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
When the positive integer n is divided by 6, the remainder is 4. What is the remainder when n² is divided by 6?
Question:
When the positive integer n is divided by 6, the remainder is 4. What is the remainder when n² is divided by 6?
When the positive integer n is divided by 6, the remainder is 4. What is the remainder when n² is divided by 6?
Options
Answer: (E) 4
Explanation:
n = 6k + 4 for some integer k. Then n² = (6k + 4)² = 36k² + 48k + 16 = 6(6k² + 8k + 2) + 4. Therefore remainder is 4.
Explanation:
n = 6k + 4 for some integer k. Then n² = (6k + 4)² = 36k² + 48k + 16 = 6(6k² + 8k + 2) + 4. Therefore remainder is 4.
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