🧠 GRE Exam Prep

What is the remainder when 7^10 is divided by 5?

A 1
B 2
C 3
D 4

✓ Correct Answer: Option D

The pattern of remainders when powers of 7 are divided by 5 is: 7^1≡2, 7^2≡4, 7^3≡3, 7^4≡1. The pattern repeats every 4 powers. Since 10 divided by 4 has a remainder of 2, 7^10 has the same remainder as 7^2, which is 4.

💡 Why is D) the correct answer?

The correct answer to the question "What is the remainder when 7^10 is divided by 5?" is Option D: 4.

The other options — A) 1, B) 2, C) 3 — are incorrect for this GRE Exam Prep question. As explained above: The pattern of remainders when powers of 7 are divided by 5 is: 7^1≡2, 7^2≡4, 7^3≡3, 7^4≡1. The pattern repeats every 4 powers. Since 10 divided by 4 has a remainder of 2, 7^10 has the same remainder…

📚 About This GRE Exam Prep Practice Question

This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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