Don’t lose your progress!

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Up to 90+ points GMAT score improvement guarantee

The best guarantee you’ll find

Our Premium and Ultimate plans guarantee up to 90+ points score increase or your money back.

Master each section of the test

Comprehensive GMAT prep

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Schedule-free studying

Learn on the go

Study whenever and wherever you want with our iOS and Android mobile apps.

The most effective way to study

Personalized GMAT prep, just for you!

Adaptive learning technology focuses on your academic weaknesses.

Data Sufficiency: Yes/No Basic Technique

Is $$x$$ closer to $$30$$ than to $$60$$? >(1) $$38 - x\gt x - 32$$ >(2) $$|x - 45| \lt 15$$
Correct. [[snippet]] Stat. (1): solve the given inequality: >$$38 - x\gt x - 32$$ >$$70\gt 2x$$ >$$35\gt x$$ Given that $$x$$ is less than 35, it is closer to 30 than 60. This is a definite answer, so **Stat.(1) → S → AD**. Stat. (2): solve absolute values of the number case by considering two possible scenarios: 1. Copy the inequality without the absolute value brackets and solve: >>$$x - 45 \lt 15$$ >>$$x\lt 60$$ 2. Remove the absolute value brackets, put a negative sign around the other side of the inequality, and flip the sign: >>$$x - 45 \gt -15$$ >>$$x \gt 30$$ Based on the above, $$x$$ must be between 30 and 60. That is, $$x$$ can be closer to either 30 or 60. There is no definite answer, so **Stat.(2) → IS → A**.
Incorrect. [[snippet]] Stat. (2): solve absolute values of the number case by considering two possible scenarios: 1. Copy the inequality without the absolute value brackets and solve: >>$$x - 45 \lt 15$$ >>$$x\lt 60$$ 2. Remove the absolute value brackets, put a negative sign around the other side of the inequality, and flip the sign: >>$$x - 45 \gt -15$$ >>$$x \gt 30$$ Based on the above, $$x$$ must be between 30 and 60. That is, $$x$$ can be closer to either 30 or 60. There is no definite answer, so **Stat.(2) → IS → ACE**.
Incorrect. [[snippet]] Stat. (1): solve the given inequality: >$$38 - x\gt x - 32$$ >$$70\gt 2x$$ >$$35\gt x$$ Given that $$x$$ is less than 35, it is closer to 30 than 60. This is a definite answer, so **Stat.(1) → S → AD**.
Incorrect. [[snippet]] Stat. (2): solve absolute values of the number case by considering two possible scenarios: 1. Copy the inequality without the absolute value brackets and solve: >>$$x - 45 \lt 15$$ >>$$x\lt 60$$ 2. Remove the absolute value brackets, put a negative sign around the other side of the inequality, and flip the sign: >>$$x - 45 \gt -15$$ >>$$x \gt 30$$ Based on the above, $$x$$ must be between 30 and 60. That is, $$x$$ can be closer to either 30 or 60. There is no definite answer, so **Stat.(2) → IS → ACE**.
Incorrect. [[snippet]] Stat. (1): solve the given inequality: >$$38 - x\gt x - 32$$ >$$70\gt 2x$$ >$$35\gt x$$ Given that $$x$$ is less than 35, it is closer to 30 than 60. This is a definite answer, so **Stat.(1) → S → AD**.
Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
BOTH Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.