GMAT Data Insights Practice Set 6 (Two-Part Analysis)

You are considering buying a new car. Assume the MPG (Mileage Per Gallon) for this new car is X miles per gallon (X mpg) when traveling at a constant speed of Y miles per hour (Y mph).

In terms of the variables X and Y, select the expression that best represents the number of gallons used in one hour of traveling on highways at a constant speed of Y. Then, select the expression that represents the number of gallons used in a 50 mile drive traveling on highways at a constant speed of Y. Make only two selections, one from each column.

A dance group in the United States is organizing a dance festival for the community. Five dancers will dance in the morning, and another five dancers will dance in the afternoon. To make sure that the dancers are fit for select performances, the dance group wants a majority of dancers in one part of the event to be born after 1990. The other part of the event should have at least four female dancers. Neither part of the event should have more than two dancers from countries outside of the US. The dance group has already agreed on a plan for eight of the ten dancers. That plan, showing names along with each dancer’s birth year and country of origin, is shown here.

Pick a dancer who could be added to either the morning or the afternoon. Then, pick a dancer who could NOT be added to either the morning or the afternoon. Make only two picks, one in each column.

Student 1 currently studies 180 minutes each week. Student 2 currently studies 250 minutes each week. Both students 1 and 2 are increasing the number of minutes spent studying each week, both at a different constant rate. If both students keep to their constant rate of studying increase, in seven weeks from now, they will be studying for the same number of minutes each week, and in subsequent weeks, student 1 will study more each week than student 2.

In the following table, identify the rate of increase in the number of studying minutes each week for both students that support the predictions stated in the last paragraph. Make only one selection in each column.

Two cities 1 and 2 currently have population 12 million and 15 million respectively. The population of city 1 increases at a constant rate of x number of persons per year and the population of city 2 also increases at a different constant rate of y number of persons per year. After five years, the population of both the cities is estimated to become equal. What should be the values of rates x and y to meet the given condition?

Select one response for City 1 (A-F) and one response for City 2 (G-L)

There are two cars 1 and 2. Car 1 has a maximum speed of 120 km/h consuming 12 liters fuel in one hour at maximum speed and car 2 has a maximum speed of 100 km/h consuming 8 liters fuel in one hour at maximum speed. Both the cars are 960 km away from each other. These cars must reach at a point in 6 hours by running towards each other. We have a limit of availability of fuel for both cars. The available amount of fuel is 84 liters. How many hours will both the cars run to meet a point in 6 hours by consuming the limited amount of 84 liters of fuel.

Select one response for Car 1 (A-E) and one response for Car 2 (F-J)

A person requires 52 bikes in 4 months with a budget of $25,440. He has taken offers from two companies 1 and 2. Company 1 can provide him with 8 bikes per month at the rate of $500 per bike. Company 2 can provide him with 7 bikes per month at the rate of $480 per bike. If the person utilizes both the offers to get 50 bikes in his budget, what will be the number of bikes that he will buy from both companies?

Select one response for Company 1 (A-F) and one response for Company 2 (G-L)

Two companies X and Y have the current number of employees as 80 and 110 respectively. Both the companies are increasing the number of employees after every three months at a constant rate. After 15 months, the number of employees of both companies becomes the same. What will be the rate of increase of the companies X and Y?

Select one response for Company X (A-F) and one response for Company Y (G-L)

The demand of a product A increases at the same rate per year as the income of the person decreases. If the income of the person was I in 2008 and changes to (I² – 2I) / 4I in 2009. At the same rate, what will be the demand of product in terms of I and D if the demand in 2008 is D and what will be the rate of change of income of the person?

Select one response for Demand (A-F) and one response for Rate of Change of Income (G-L)

Train A and Train B are located at stations that are 350 miles apart. The trains will pass each other at some point along their routes. Train A leaves station 1 and maintains an average speed of 45 mph. Train B leaves 1 hour and 45 minutes later, maintaining an average speed of 55 mph. The station guide below details the route.

From the choices below, identify between which two stations the trains will meet.

A snack company is developing three new lines of trail mix. Each of the new lines consist of items from the four sets below.

• Sweet: Milk Chocolate, White Chocolate, Caramel
• Salty: Peanut, Pecan, Cashew
• Crunchy: Pretzel, Oyster Crackers, Rice Puffs
• Chewy: Raisin, Date, Cherry

The company has decided that each of the new lines must have four items. For each line, no more than two items can be used from any set, and each line can have a maximum of three sets used. The table below shows the development so far.

Select an item that can be used as the fourth item in all three lines. Select an item that cannot be used in any line.

Select two answers. One item that can be used in all three lines, and one item that cannot be used in any line.

ABC Concrete Co. has been contracted to pour slabs of concrete for two new projections.

As part of the bidding process, the company calculated the total cost at $8/cubic foot. The winning bid included a markup of 15%.

Slab A has measurements of 24 yards in length, 30 yards in width, and needs to be 18 inches deep. Slab B will be a 10 yard square with a depth of one foot.

What is the amount of profit expected from Slab A and Slab B, respectively?

Select two answers. One answer for slab A and one answer for slab B.

Erin has job offers from two different companies, in two different states, either of which will require her to move.

Company A is offering 8% less than her current job, however, the cost of living  is 16% lower in that area than where she currently lives. The offer from Company B has a 10% increase in salary and a $2,000 signing bonus bonus, however the cost of living is 4% higher at that location.

She currently nets $34,000 after taxes, which is ⅝ of her gross salary, and is able to save $650 a month after all expenses. Assume the same proportions for taxes and expenses.

From the choices below, select all of the statements below that can be proven to be true.