Part 2: Arithmetic Reasoning (AR)

36 Minutes 30 Questions

Directions: In this section, you are tested on your ability to use arithmetic. For each question, select the best answer and mark the corresponding oval on your answer sheet.
Three apples cost as much as 4 pears. Three pears cost as much as 2 oranges. How many apples cost as much as 72 oranges?
1. 36
2. 48
3. 64
4. 81
If 48 of the 60 seats on a bus were occupied, what percent of the seats were NOT occupied?
1. 12%
2. 15%
3. 20%
4. 25%
Effin sings for $1,000 an hour. Her rate increases by 50% after midnight. If she sings one night from 8:30 p.m. until 1:00 a.m., how much should she be paid?
1. $4,500
2. $5,000
3. $5,500
4. $6,000
Fran has a drawer containing 4 black T-shirts, 3 orange T-shirts, and 5 blue T-shirts. If she picks one T-shirt at random from the drawer, what are the chances that it will NOT be orange?
After a 5-hour flight from Newark, Harry arrives in Denver at 2:30 p.m. If the time in Newark is 2 hours later than the time in Denver, what was the time in Newark when Harry began the flight?
1. 10:30 a.m.
2. 11:30 a.m.
3. 3:30 p.m.
4. 5:30 p.m.
A full box of chocolate contains 24 pieces. If Doris starts out with 198 pieces of chocolate, how many pieces will she have left over if she fills as many boxes as she can?
1. 3
2. 6
3. 8
4. 10
If 75% of x is 150, what is the value of x?
1. 150
2. 175
3. 200
4. 250
Rachel’s average score after 6 tests is 83. If Rachel earns a score of 97 on the 7th test, what is her new average?
1. 85
2. 86
3. 87
4. 88
A delivery service charges $25.00 per pound for making a delivery. If there is an additional 8% sales tax, what is the cost of delivering an item that weighs of a pound?
1. $20.00
2. $21.60
3. $22.60
4. $24.00
A cake recipe requires of an ounce of vanilla extract. How many cakes can be made using a package containing 60 ounces of vanilla extract?
1. 48
2. 80
3. 96
4. 100
Ed has 100 more dollars than Robert. After Ed spends 20 dollars on groceries, he now has 5 times as much money as Robert. How much money does Robert have?
1. $16
2. $20
3. $24
4. $30
587 people are traveling by bus for a field trip. If each bus seats 48 people and all of the buses but one are filled to capacity, how many people sit in the unfilled bus?
1. 37
2. 36
3. 12
4. 11
Riley brings 100 cookies to school for her class party. If there are 15 students in the class, including Riley, and there are 25 cookies left after the party, what is the average number of cookies that Riley and her classmates ate?
1. 1
2. 4
3. 5
4. 6
A person 4 feet tall casts a 9-foot shadow at the same time that a nearby tree casts a 21-foot shadow. What is the height of this tree, in feet?
1. 7
2. 8
3. 9
4. 10
In a group of 25 students, 16 are female. What percent of the group is female?
1. 16%
2. 40%
3. 60%
4. 64%
Phil is making a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the first 10 kilometers, and then at 15 kilometers per hour for the rest of the trip, how many more minutes will it take him than if he travels the entire trip at 20 kilometers per hour?
1. 20
2. 24
3. 30
4. 40
In a certain class, 3 out of 24 students are in student organizations. What is the ratio of students in student organizations to students not in student organizations?
In a certain baseball league, each team plays 160 games. After playing half of their games, team A has won 60 games and team B has won 49 games. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A at the end of the season?
1. 51
2. 59
3. 60
4. 61
A vendor bought 10 crates of oranges for a total cost of $80. If he lost 2 of the crates, at what price would he have to sell the remaining crates in order to earn a total profit of 25% of the total cost?
1. $8.00
2. $10.00
3. $12.50
4. $15.00
A machine labels 150 bottles in 20 minutes. At this rate, how many minutes does it take to label 60 bottles?
1. 2
2. 4
3. 6
4. 8
15 × (−5) =
1. 10
2. 75
3. −75
4. −225
Mike has a collection of baseball cards and baseball figurines. If the ratio of cards to figurines is 5:7 and there are 25 cards in his collection, how many figurines does he have?
1. 20
2. 35
3. 40
4. 45
Two hot dogs and a soda cost $3.25. If three hot dogs and a soda cost $4.50, what is the cost of two sodas?
1. $0.75
2. $1.25
3. $1.50
4. $2.50
Danielle drives from her home to the store at an average speed of 40 miles per hour. She returns home along the same route at an average speed of 60 miles per hour. What is her average speed, in miles per hour, for the entire trip?
1. 48
2. 50
3. 52
4. 55
At a certain school the ratio of teachers to students is 1 to 10. Which of the following could be the total number of teachers and students?
1. 100
2. 121
3. 222
4. 1,011
The average of two numbers is equal to twice the positive difference between the two numbers. If the larger number is 35, what is the smaller number?
1. 9
2. 15
3. 21
4. 27
Each of seven runners on a relay team must run a distance of 1.27 kilometers. Approximately what is the total combined number of kilometers run by the team in the race?
1. 11
2. 10
3. 9
4. 8
A scanner can scan 12 photos per minute. At this rate, how many minutes would it take to scan 60 photos?
1. 2
2. 3
3. 5
4. 7
An employee’s net pay is equal to gross pay minus total deductions. A certain employee’s gross pay is $1,769.23 and her deductions are as follows: FICA, $218.99; Social Security, $107.05; Medicare, $25.03; state tax, $68.65; municipal tax, $42.75. What is the employee’s net pay?
1. $1,306.76
2. $1,306.66
3. $1,305.76
4. $1,305.66
A student takes four tests. His grades are 94, 72, 84, and 98. What is this student’s average test grade?
1. 92
2. 65
3. 87
4. 88