Question

Is \(x\) positive? (1) \(x\) is greater than or equal to \(y\) (2) \(y\) is greater than 0 A. 1 alone, not 2 alone B. 2 alone, not 1 alone C. 1 and 2 together (need both) D. 1 alone or 2 alone E. 1 and 2 together are not sufficient

Short answer

C

Step-by-step solution

Analyze condition (1)

Condition (1) states that \( x \geq y \). From this information alone, it is not possible to determine whether \( x \) is positive since \( y \) could be any real number, including negative.

Analyze condition (2)

Condition (2) states that \( y > 0 \). This alone suggests that \( y \) is positive, but it doesn't provide any direct information about \( x \).

Combine conditions

Combining both conditions, we have \( x \geq y \) and \( y > 0 \). Since \( y \) is positive and \( x \) is at least \( y \), \( x \) must also be positive. Therefore, both conditions together are sufficient to determine that \( x \) is positive.

Evaluate answer choices

From the steps above, condition (1) alone or (2) alone are not sufficient to determine if \( x \) is positive. Only when both are combined, we can conclude \( x \) is positive. Thus, the correct answer is C.

Key concepts

GMAT Test Preparation

Preparing for the GMAT is all about honing problem-solving skills and understanding the fundamental concepts tested. This includes mastering various question types like data sufficiency, quantitative problems, and verbal reasoning. To excel, it's important to follow these steps:

• Review key mathematical principles, such as algebra, arithmetic, and geometry.
• Practice regularly with sample questions and mock tests to get familiar with the exam format and time constraints.
• Focus on your weak areas while also refining your strengths.
• Utilize resources such as GMAT prep books, online courses, and tutoring if needed.

Remember, a consistent study schedule and time management during the test are crucial to achieving a high score.

One specific tip for success is to understand the structure of data sufficiency problems. These problems require a different approach compared to other GMAT questions. By practicing these unique types of questions, you will become more adept at identifying the necessary information to solve problems efficiently.

Data Sufficiency Problems

Data sufficiency problems are a core part of the GMAT and require a specific strategy. These problems provide a question and two statements, and your job is to determine if the statements provide enough information to answer the question. Here are some critical tips:

• Understand the question precisely before examining the statements.
• Evaluate each statement individually first before combining them.
• Look for keywords such as 'positive', 'negative', or specific inequalities that can guide your analysis.

Lets take the given problem as an example:
1. Analyze condition (1): Knowing that 'x is greater than or equal to y' doesn't tell us if x is positive unless we know more about y.
2. Analyze condition (2): Knowing 'y is greater than 0' tells us y is positive but nothing about x directly.
3. Combine conditions: When both conditions are combined (x is at least y and y is positive), it implies x must also be positive.

This step-by-step approach ensures a methodical evaluation, leading to the correct answer. Practice consistently with this strategy, and you'll become proficient at tackling GMAT data sufficiency problems.

Graduate Management Admission Test

The GMAT, short for Graduate Management Admission Test, is a standardized test used by business schools worldwide to assess the qualifications of applicants for advanced study in business and management. It measures skills in analytical writing, quantitative reasoning, verbal reasoning, and integrated reasoning. Understanding the GMAT structure is key:

• Analytical Writing Assessment (AWA): Tests your ability to think critically and communicate complex ideas.
• Integrated Reasoning: Measures your ability to evaluate data presented in multiple formats.
• Quantitative Reasoning: Assesses your mathematical skills, including problem-solving and data analysis.
• Verbal Reasoning: Evaluates your ability to read and comprehend written material and evaluate arguments.

To succeed in the GMAT, focus on comprehensive test preparation. Make use of practice exams to familiarize yourself with the pacing and format. Leverage study guides and other resources designed specifically for the GMAT. Consider joining study groups or finding a study partner to keep motivated and share insights.

The GMAT score can significantly influence your acceptance into a business program and even affect scholarship opportunities, so taking the necessary steps to prepare thoroughly is crucial.