If Y < 0 and -1 < -1 + X/Y < 0, which must be true?
1. X < 0
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.
Correct Answer - Choice E
Essential GMAT Reading Comprehension Guide
After you read F1GMAT’s Essential GMAT Reading Comprehension Guide, you will:
1. Complete GMAT RC Questions in less than 1 minute and 50 seconds
2. Read Faster
3. Take Notes Effectively
4. Collect and Interpret Facts
5. Speed up Summary Creation
6. Remember Information
7. Question the Author
8. Learn to answer GMAT Reading Comprehension Title question
9. Learn to Solve GMAT Reading Comprehension Main Idea Question
10.Learn to Solve GMAT Reading comprehension inference question
11. Learn to Solve GMAT Reading Comprehension Detail Questions
12. Learn to Organize passage in GMAT Reading Comprehension
13. Learn to Identify style/tone or attitude of the author
14. Learn to Improve GMAT Reading Comprehension Score
Download Essential GMAT Reading Comprehension Guide
Mastering GMAT Critical Reasoning
After you read F1GMAT’s Mastering GMAT Critical Reasoning Guide, you will:
1) Learn to eliminate out of scope answer choices
2) Learn to spot logical fallacies
3) Learn to read questions by focusing on the holy trinity – premise, assumption, and conclusion.
4) Learn to disregard filler information
5) Complete GMAT CR Questions in less than 1 minute and 40 seconds
Download Mastering GMAT Critical Reasoning