What is the remainder when 2^10 is divided by 7?

A 1

B 2

C 4

D 6

✓ Correct Answer: Option B

2^1=2, 2^2=4, 2^3=1 (mod 7). Cycle of 3. 10 mod 3 = 1. So 2^10 mod 7 = 2^1 mod 7 = 2.

💡 Why is B) the correct answer?

The correct answer to the question "What is the remainder when 2^10 is divided by 7?" is Option B: 2.

The other options — A) 1, C) 4, D) 6 — are incorrect for this GRE Exam Prep question. As explained above: 2^1=2, 2^2=4, 2^3=1 (mod 7). Cycle of 3. 10 mod 3 = 1. So 2^10 mod 7 = 2^1 mod 7 = 2.

📚 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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What is the remainder when 2^10 is divided by 7?

✓ Correct Answer: Option B

📚 About This GRE Exam Prep Practice Question

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