Is x an integer?

A (1) x + 1 is an integer.

B (2) x^2 is an integer.

C Both (1) and (2) together are sufficient, but neither statement alone is sufficient.

D Statements (1) and (2) together are not sufficient.

✓ Correct Answer: Option A

If x+1 is an integer, say k, then x = k-1. Since k is an integer, k-1 must also be an integer. Thus, statement (1) alone is sufficient. Statement (2) is not sufficient because x could be an integer (e.g., x^2=4, x=2) or not an integer (e.g., x^2=2, x=√2).

💡 Why is A) the correct answer?

The correct answer to the question "Is x an integer?" is Option A: (1) x + 1 is an integer..

The other options — B) (2) x^2 is an integer., C) Both (1) and (2) together are sufficient, but neither statement alone is sufficient., D) Statements (1) and (2) together are not sufficient. — are incorrect for this GMAT Exam Prep question. As explained above: If x+1 is an integer, say k, then x = k-1. Since k is an integer, k-1 must also be an integer. Thus, statement (1) alone is sufficient. Statement (2) is not sufficient because x could be an integer (…

📚 About This GMAT Exam Prep Practice Question

This 2-level GMAT Exam Prep question from the Data Insights 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.

Practice GMAT Exam Prep Quizzes → Browse All Questions Study Flashcards

Is x an integer?

✓ Correct Answer: Option A

📚 About This GMAT Exam Prep Practice Question

Related GMAT Exam Prep Questions