🧠 GRE Exam Prep

When an integer 'n' is divided by 7, the remainder is 3. What is the remainder when 4n is divided by 7?

A 1
B 2
C 3
D 5

✓ Correct Answer: Option D

If n divided by 7 has a remainder of 3, then n can be written as 7k + 3 for some integer k. So, 4n = 4(7k + 3) = 28k + 12. When 28k is divided by 7, the remainder is 0. When 12 is divided by 7, the remainder is 5. Thus, the remainder for 4n is 5.

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