📊 GMAT Exam Prep

What is the remainder when (7^10 + 3) is divided by 5?

A 0
B 1
C 2
D 4

✓ Correct Answer: Option C

The pattern of remainders for powers of 7 divided by 5 is 2, 4, 3, 1 (cycle of 4). For 7^10, the remainder is 7^(10 mod 4) = 7^2 = 4. So, (4 + 3) mod 5 = 7 mod 5 = 2.

💡 Why is C) the correct answer?

The correct answer to the question "What is the remainder when (7^10 + 3) is divided by 5?" is Option C: 2.

The other options — A) 0, B) 1, D) 4 — are incorrect for this GMAT Exam Prep question. As explained above: The pattern of remainders for powers of 7 divided by 5 is 2, 4, 3, 1 (cycle of 4). For 7^10, the remainder is 7^(10 mod 4) = 7^2 = 4. So, (4 + 3) mod 5 = 7 mod 5 = 2.

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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