GMAT Two-Part Analysis Practice Questions

An archery center calibrates target distances by spraying a paint mark at each measured position. The paint is a blend of two solutions mixed to a target strength, applied by a marking cart. Cart A requires the same fixed calibration time at the start of every session and then marks targets at a constant rate. Session logs show that calibrating cart A and marking 10 targets took 60 minutes, while calibrating cart A and marking 20 targets took 100 minutes. Cart B needs no calibration and marks each target in 2 minutes at a constant rate. For the final run, cart A and cart B, both already calibrated, work simultaneously to mark 30 targets, sharing the work by rate. Both answers are whole numbers.

Select one value for each column: the percent by which cart B's marking rate exceeds cart A's marking rate, and the minutes the two carts need to mark 30 targets working together.

A juice bar buys bottles of two bases for one blend. Strong base is 80% juice and costs $8 per bottle. Mild base is 10% juice and costs $6 per bottle. Those prices do not change. The order also has a fixed $50 bottle-deposit credit, and the amount paid after that credit was $350. Every bottle bought is used, the final blend must be exactly 50% juice, and bottle counts are whole numbers from 15 to 35 inclusive. In the first column select the number of strong-base bottles. In the second column select the number of mild-base bottles.

A winery rotates the 1,080 barrels in its cellar using two crews, crew A and crew B. Each crew works at a constant rate, and when both crews work at the same time, their rates add. Each day the rotation budget pays for exactly 10 crew-hours, split between the two crews. On Monday the split was 2:3, crew A to crew B, but a safety rule caps crew B at 5 hours per day, and any hours above the cap are reassigned to crew A. The crews rotated 450 barrels on Monday. On Tuesday the split was 7:3, and the crews rotated 430 barrels. The contract defines the speed premium as the amount by which the faster crew's rate exceeds the slower crew's rate, expressed as a percent of the slower crew's rate.

Select the speed premium in column 1 and the hours both crews need, working together, to rotate all 1,080 barrels in column 2.

A photo booth company charges a fixed setup fee plus a constant amount per delivery mile. An event with 40 delivery miles costs $260, and an event with 100 delivery miles costs $440. For a new event, the delivery trip has two legs. One leg is driven at 20 miles per hour and the other at 50 miles per hour. The total driving time is 3 hours, the faster leg is exactly 10 miles longer than the slower leg, and each leg is a positive integer number of miles. Select the fixed setup fee and the predicted total price for the new event.

A procurement team measures the cycle duration of each order from the time a supplier's shipment leaves the supplier's depot to the time it is checked in at the team's warehouse. For one order, the shipment travels in two legs. In the feeder leg, the truck averages 30 kilometers per hour. In the line-haul leg, the truck averages 60 kilometers per hour. The two legs together cover 96 kilometers, and the line-haul leg takes 24 minutes longer than the feeder leg. All measurements are exact.

Select the duration of the feeder leg, in minutes, and the average speed of the shipment over the whole trip, in kilometers per hour.

A freight terminal stacks cargo containers with two cranes. Every session begins with the same fixed warm-up period, whether one or both cranes are used; after warm-up, each crane stacks containers at its own constant number of minutes per container.

With the first crane alone, a session that stacked 6 containers lasted 36 minutes, and a session that stacked 10 containers lasted 56 minutes. The second crane stacks at a rate 25% faster than the first crane.

The terminal ordered standard containers at $300 each and insulated containers at $500 each. The bill totaled $6,600. Container counts are whole numbers: the order included at least one container of each type, no more than 18 containers altogether, and more standard containers than insulated containers. Both cranes together will stack the entire order in one session.

Select the minutes the second crane needs to stack one container (column 1) and the total minutes of that joint session (column 2).

A coffee distributor roasts two grades of beans, using machine P for one grade and machine Q for the other. Machine Q takes twice as long as machine P to roast one bag. The two machines run for the same length of time and roast 180 bags in all. The grade roasted by machine Q costs 25% more per bag than the grade roasted by machine P, and the 180 bags cost $7,800 altogether. For machine Q's grade, the distributor marks the cost up by 50% to set a list price and then sells each bag at 20% off the list price, earning a profit on every bag. All per-bag costs and prices are whole numbers of dollars.

Select one value for the cost per bag of machine Q's grade and one value for the final selling price per bag of machine Q's grade.

A media lab compresses batches of files, and the compression cost in dollars is linear in the number of files. Two finished batches are known: 60 files cost 320 dollars, and 90 files cost 440 dollars. For the next batch of n files, the lab sets a list price 25% above the predicted compression cost, then sells the batch at 10% off that list price. The batch must satisfy all of the following: n is an integer from 85 to 105 inclusive; the final price is a whole number of dollars; the predicted cost is at most 480 dollars; the predicted cost is at least 6 times the fixed 60 dollar archiving fee; and the final price is greater than the predicted cost by at least 60 dollars. Select the predicted compression cost and the final price.

A supplier sells bicycle chain lubricant for a fixed fee per order plus a constant charge per milliliter. An order of 20 mL costs $24; an order of 40 mL costs $36.

In a test ride, a rider covers leg 1 at 30 km/h and leg 2 at 20 km/h, each leg a whole number of kilometers, at least 1 km. The total ride time, in minutes, equals the predicted cost, in dollars, of an 80 mL order. The ride passes only if its average speed is at least 24 km/h and the time for leg 1, in minutes, does not exceed the average speed, in kilometers per hour. The ride passed.

Select the time for leg 1, in minutes, and the average speed for the whole ride, in kilometers per hour.