What is the primary purpose of Two-Part Analysis questions in the GMAT?

Two-Part Analysis questions test your ability to evaluate two related components of a problem, requiring logical reasoning and mathematical skills to solve interdependent conditions.

How should you approach Two-Part Analysis questions efficiently?

Read the question stem carefully, identify the relationship between the two parts, and focus on simplifying the problem to avoid unnecessary calculations.

If x * y = 10 and x - y = 2, what are the values of x and y?

X = 6, y = 4. Adding the equations gives 2x = 12, so x = 6. Subtracting gives 2y = 8, so y = 4.

What is a common structure of Two-Part Analysis questions?

These questions often provide a problem with two blanks and a set of paired answer choices, each representing a combination of possible solutions.

What is the formula for the relationship between speed, distance, and time?

Speed = Distance / Time. Example: If a car travels 100 miles in 2 hours, its speed is 100/2 = 50 mph.

A company has to assign 10 workers to two projects. The first project requires 6 workers, and the second project requires 4 workers. How many ways can this be done?

The number of ways is C(10, 6) = 210.

What is the most efficient way to analyze numerical Two-Part Analysis questions?

Break the question into smaller parts and solve one blank at a time while keeping the relationship between the two parts in mind.

A person invests $10,000 in two accounts, one earning 5% interest and the other earning 8% interest. If the total interest earned is $700, how much was invested in each account?

$4,000 was invested at 5% and $6,000 at 8%.

What is the best way to eliminate answer choices in Two-Part Analysis questions?

Use logical reasoning to quickly rule out inconsistent or impossible pairs that violate the conditions of the question.

Solve: If a * b = 20 and 2a + 3b = 50, find the values of a and b.

A = 10, b = 10. Substituting b = 20 - a into the second equation gives a = 10 and b = 10.

What is the importance of interpreting language in Two-Part Analysis questions?

Precise interpretation ensures that you understand the conditions correctly and avoid misreading the relationships between the parts.

If the product of two numbers is 72 and their sum is 18, what are the two numbers?

The numbers are 9 and 8.

Why is checking consistency between the two parts crucial in solving these questions?

Consistency ensures that the chosen answers satisfy all given constraints and logical dependencies.

A train travels 60 miles at a speed of 30 mph and another 120 miles at a speed of 40 mph. What is the average speed for the entire journey?

The average speed is 36 mph. Total distance is 180 miles, total time is 5 hours, so 180/5 = 36.

If two people can complete a task together in 6 hours and one of them takes 9 hours alone, how long will the other take to complete the task alone?

The other person will take 18 hours. Their combined rate is 1/6, one person's rate is 1/9, so the other's rate is 1/6 - 1/9 = 1/18.