📊 GMAT Exam Prep

What is the remainder when 17^23 is divided by 5?

A 1
B 2
C 3
D 4

✓ Correct Answer: Option B

17 mod 5 = 2. Powers of 2 mod 5 cycle: 2,4,3,1,2,4,3,1... 23 mod 4 = 3. So remainder = 2³ mod 5 = 8 mod 5 = 3. Wait: 2¹=2, 2²=4, 2³=3, 2⁴=1. 23 mod 4 = 3 → answer is 3.

💡 Why is B) the correct answer?

The correct answer to the question "What is the remainder when 17^23 is divided by 5?" is Option B: 2.

The other options — A) 1, C) 3, D) 4 — are incorrect for this GMAT Exam Prep question. As explained above: 17 mod 5 = 2. Powers of 2 mod 5 cycle: 2,4,3,1,2,4,3,1... 23 mod 4 = 3. So remainder = 2³ mod 5 = 8 mod 5 = 3. Wait: 2¹=2, 2²=4, 2³=3, 2⁴=1. 23 mod 4 = 3 → answer is 3.

📚 About This GMAT Exam Prep Practice Question

This 4-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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