# If Y < 0 and -1 < -1 + X/Y < 0, which must be true?

If Y < 0 and -1 < -1 + X/Y < 0, which must be true?

1. X < 0
2. Y/X>1
3. Y^2-X^2 > 0

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

If X is negative, and we already know that Y is negative, than X/Y would have to be positive (a negative divided by a negative is always positive). This means that for all values in which Y is smaller than X, X/Y would be between 0 and 1.

More importantly, X must be negative, because if it were positive, the fraction X/Y would be negative. Statement I must be true. Statement II claims that Y/X>1.

We already know that both X and Y are negative. We also know that Y has a larger absolute value. Statement II must also be true.

On statement III, since we're talking about numbers squared, we can forget about the signs. We only need to figure out which of the two variables is greater. Statement III is true as well.

Founded in 2009, 2minuteGMAT guarantees that you will improve your GMAT score by 50 points or your money back. We send you a unique email every day for 3 months with 10 GMAT Questions of the Day (5 Math and 5 Verbal), a daily blurb about top business schools in the country, and advice from experts on how to improve your GMAT score. Visit the 2minuteGMAT blog for updates and GMAT tips.

1. Complete GMAT RC Questions in less than 1 minute and 50 seconds
3. Take Notes Effectively
4. Collect and Interpret Facts
5. Speed up Summary Creation
6. Remember Information
7. Question the Author

12. Learn to Answer GMAT organization of passage Question
13. Learn to identify the style/tone or attitude of the author

Mastering GMAT Critical Reasoning

After you read F1GMAT’s Mastering GMAT Critical Reasoning Guide, you will learn:

How to overcome flawed thinking in GMAT Critical Reasoning?

How to spot Inconsistencies in Arguments

How to eliminate out of scope answer choices using Necessary and Sufficient Conditions

How to Paraphrase GMAT Critical Reasoning Question

How to Answer Assumption Question Type

How to Answer Conclusion Question Type

How to Answer Inference Question Type

How to Answer Strengthen Question Type

How to Answer Weaken Question Type

How to Answer bold-faced and Summary Question Types

How to Answer Parallel Reasoning Questions

How to Answer the Fill in the Blanks Question

Get F1GMAT's Newsletters (Best in the Industry)

• Ranking Analysis
• Post-MBA Salary Trends
• Post-MBA Job Function & Industry Analysis
• Post-MBA City Review
• MBA Application Essay Tips
• School Specific Essay Tips
• GMAT Preparation Tips