OAT Quantitative Reasoning Practice Test 2023

A car rental company charges for mileage as follows: x dollars per mile for the first n miles and x + 1 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?

The manufacturer of Sleep-EZ mattresses is offering a 10% discount on the price of its king- size mattress. Some retailers are offering additional discounts. If a retailer offers an additional 20% discount, then what is the total discount available at that retailer?

If 2 is the remainder when m is divided by 5, what is the remainder when 3 m is divided by 5?

Ron begins reading a book at 4:30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 6:00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?

²²Each writer for the local newspaper is paid as follows: a dollars for each of the first n stories each month and a +b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits n + a stories in a month earn than a writer who submits n + b stories?

A crate of apples contains 1 bruised apple for every 30 apples in the crate. Three out of every four bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, then how many total apples are there in the crate?

Quantity A

x² + 2 x − 2

Quantity B

x² + 2 x − 1

For all shows except those on Sunday afternoons, a local theater sells tickets at one price for adults and a reduced price for children. On Sunday afternoons, all tickets are sold at a discount of 20%.

Approximately how much did total revenues increase from 2004 to 2007?

For the year in which profits from food-related operations increased over the previous year, total revenues were approximately:

In 2008, total profits represented approximately what percent of total revenues?

For which of the years was the unemployment rate in Country Y more than 5 percentage points greater than that of Country X ?

Which of the following is closest to the average (arithmetic mean) of the 9 changes in the percentage of unemployed workers in Country X between consecutive years from 2000 to 2009?

The average of 3, 15, 18, and 8 is

Which of the following fractions is the largest?

Which of the following numbers is smallest?

16 + 0.267 + 36.78 =

What is the cost of a blouse that is priced at $50.00 with a tax of 7%?

What is the value of 2,886 ÷ 37?

If x = 3 − y2 and y = −2, what is the value of x ?

When 3x³ − 7 x + 7 is divided by x + 2, the remainder is:

If 4 x + ky = 15 and x − ky = −25, which of the following could be the values of x and y?

How many integers are in the solution set of |4 x + 3| < 8?

A certain school has 50 students assigned to five distinct classes so that the numbers of students in the classes are consecutive and each student is assigned to only one class. What is the probability that a student selected at random from the 50 students is in one of the two largest classes?

A certain machine produces toy cars in a repeating cycle of blue, red, green, yellow, and black. If a string of six consecutively produced cars is selected at random from all the possible strings of six consecutively produced cars, what is the probability that, in the string selected, two of the cars are red?

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?

In the figure below, what is the value of cos θ?

If θ is an acute angle for which tan²θ = 6 tan θ − 9, what is the approximate measure of θ?

What is the y-coordinate of the point at which the graph of y = 2 sin x − cos 2 x intersects the y-axis?

What is 0.09356 – 0.003784?

What is the product of (-4)(-2)(-6)?

How many cubic inches are in a box 10” wide, 3” deep and 14” long?

What is the perimeter of a park that is 300 yards long and 640 yards wide?

If my local grocery store last year had a total income of $7,056,238 and expenses of $3,998,100, how much profit did it make (profit is income minus expenses)?

The five events hosted last year by the event company, “We Plan It,” drew crowds of 175, 320, 417, 533, and 210 people. What is their average attendance for those events?

A pizza dough recipe calls for 2 cups of flour and 1 1/2 teaspoons of salt. How much salt would you need if you wanted to triple the recipe?

Lex’s mom buys 3 of each kind of cookie for a picnic. If the store gives a 10% discount for purchase of a dozen cookies, how much did she spend?

Lex’s favorite cookie store sells the following cookies:
Sugar: $2.00
Macaroons: $1.50
Chocolate chip: $2.50
Peanut butter: $2.00

If Lex buys 3 cookies, what is the least amount he could have spent?