Diagnostic PreTest Answers

You manage a warehouse and need to replace a forklift. A local retailer sells the model you want for $1,299 plus a 6% sales tax. A store located just over the state line sells the same model for $1,359 plus a 4% sales tax.

You work in the quality-assurance department for a bottling company. A water bottle is supposed to contain 750 milliliters (mL) of water, and the company sets a tolerance of ±5 mL.What is the least amount of water that is considered acceptable?

You work for a store that sells built-to-order water reservoirs. Your manager asks you to visit a small business to measure a damaged conical water reservoir for replacement. The label on the water reservoir indicates only the following specifications: The height is 8.5 feet, and, when full, the water reservoir holds 225 cubic feet of water.

You are a travel agent. A customer requires a hotel reservation for four nights. You are considering two hotels. The first usually charges $168 per night, including all taxes and fees, but will give a discount of $40 per night. The second charges $185 per night, including all taxes and fees, and will offer one night for free.

Your company hires a local contractor for snow removal. The contractor charges $45 for each of 12 snow removals.If you decide to pay the contractor in 3 equal installments, what is the amount of each payment?

As a geologist, you catalog the weights of rocks. Since many countries use the metric system, the protocol is to have the weights in kilograms for consistency. According to the tag, 2 such rocks weigh 20 ounces each.What is the total weight of the rocks, in kilograms, if a kilogram is 35.2 ounces?

As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds.

As an accountant, you have calculated income taxes for a customer for the last 3 years. During those three years, the customer made a tax payment of $1,250, received a tax refund of $550, and made a tax payment of $925. The customer also paid a processing fee of $60 each year.

You are a woodworker who is designing a custom doghouse. The doghouse will have an A frame, with the front and back of the house in the shape of a triangle. The customer has chosen a different siding for the back of the house, and you need to determine the area in order to place the order. The base of the triangle measures 3 feet, 2 inches, and the height is 4 feet.

You work for a printing company that makes banners. A customer orders one banner in the shape of a rectangle and another in the shape of a triangle. The rectangle has a length of 10 feet and a width of 3 feet. The triangle has a base of 4 feet and a height of 3 feet. The customer will be charged $5.25 plus tax per square foot.

You work in a retail store and need to determine sale prices on various items. A kitchen mixer with an original price of $44.86 is on sale for $8.97 off. A small vacuum cleaner with a regular price of $119.99 needs to get discounted by the same percentage as the mixer.

As an accountant for a bowling alley, you calculate that 31% of revenue comes from food and beverages. To use the percentage in calculations, you must convert the value to a decimal.What is 31% as a decimal?

As a surveyor, you measure an angle of elevation as 35.25 degrees. You are required to record all measurements in fraction form.What is the degree measure of the angle written as a fraction?

You work for a packaging company. The total weight of a container and its contents is 48 pounds. The contents of the container account for of the total weight.Which fraction represents the ratio of the weight of the container to the weight of the contents?

You are a librarian. You know that approximately 12% of books that are checked out get returned late. Each late book results in an average fine of $4.25. This week, 462 books were checked out from the library.Which set of equations could be used to estimate the total fines for those books that will be returned late?

You are a driver of a dump truck with a trailer (dump bin) that is 21 feet long, 8 feet wide, and 6 feet tall. Daily, you haul full loads of dirt from one location to another. The dump bin can hold dirt equivalent to 1.2 times its capacity.What is the minimum number of trips needed to haul 20,000 cubic feet of dirt?

You work as a tailor. You are provided with yards of cloth for making curtains. You use yards of cloth for that purpose.How many yards of cloth remain?

A saw operator at a manufacturing plant cuts braces for crates to ship lawn mowers. The worker can cut 1,504 shipping braces in 8 hours.At this rate, how many shipping braces could the worker cut during a 6-hour shift?

You are a research assistant. You are tasked with writing a research paper. You spend hours researching, hours writing, and hours editing.How many hours do you spend on the task?