ASVAB Arithmetic Reasoning

Edward is scheduled to detail 23 cars this week. If he details 3 cars on Monday, how many must he detail each remaining day on average to finish by the end of the day on Saturday? a. 4 b. 3 c. 5 d. 2

a: 4

At a track event, there are eight different top-ranked runners. How many different ways are there for the eight runners to finish the race? a. 40,320 b. 36 c. 64 d. 204

a: 40,320

Which of the following is equal to the square root of fifty? a. 2√5 b. 25√2 c. 5√2 d. 10√5

c: 5√2

Sam bought a 12 pack of soda for $5.40. How much did he pay per can of soda? a. $0.45 b. $0.54 c. $0.40 d. $2.22

a: $0.45

Which of the following is an integer? a. -9 b. 3/4 c. 0.5 d. √42

a: -9

Terri has a jar of orange, blue, green, and red chocolate candies. In the jar are 75 orange candies, 62 blue candies, and 52 green candies. If there is a total of 252 candies in the jar, what is the probability that Terri will pick a red candy? a. 1/4 b. 1/8 c. 1/2 d. 1/16

a: 1/4

If Carol can write 3 articles for the newspaper every 2 ½ hours, how many articles can she write in 10 hours? a. 12 articles b. 24 articles c. 6 articles d. 18 articles

a: 12 articles

Solve the following: 5! a. 120 b. 15 c. 25 d. 0

a: 120

If the price of a gallon of gas increases from $3.20 to $3.68, what percent did it increase? a. 15% b. 10% c. 115% d. 12%

a: 15%

All of the following are examples of composite numbers except which one? a. 2 b. 6 c. 9 d. 12

a: 2

How many prime numbers are there between 25 and 35, inclusive? a. 2 b. 3 c. 4 d. 5

a: 2

Which of the following is equivalent to 2 times the total of x plus y? a. 2x+2y b. 2x(2y) c. 2x/2y d. 2xy

a: 2x+2y

Ellie wants to give her granddaughter a present of $500 saved in a bank account. If Ellie puts $350 in the account which earns an 8% annual interest rate, how long must she wait before the account is worth $500? a. 5 years 4 months b. 7 years 2 months c. 6 years 8 months d. 8 years 7 months

a: 5 years 4 months

If 4 people can stain a deck in 2 days, how many people would be required to stain the deck in only 1 day? a. 8 b. 2 c. 4 d. 12

a: 8

What is 85,000,000,000 in scientific notation? a. 8.5 * 10^10 b. 8.5 * 10^-10 c. .85 * 10^11 d. 85 * 10^9

a: 8.5 * 10^10

A mobile classroom is a rectangular block that is 100 feet by 20 feet in length and width respectively. If a student walks around the block once, how many yards does the student cover? a. 80 yards b. 75 yards c. 85 yards d. 70 yards

a: 80 yards

What is the square root of 320? a. 8√5 b. 4√5 c. 64√2 d. 8√2

a: 8√5

Jake's final grade in math class is determined by the average he gets on six tests in the class. So far, Jake has earned a 97, 89, 85, 90, and 99 on the first five tests. What grade must Jake earn on the sixth test in order to get a 93 average in the class? a. 98 b. 96 c. 84 d. 89

a: 98

If you invest $10,000 at an annual rate of 7%, how much interest will you earn after one year? a. $7 b. $700 c. $10,700 d. $70

b: $700

Solve the following: 39 ÷ (3 + 10) - 3 x 7 a. 140 b. -18 c. 0.56 d. 0

b: -18

Chad's recipe for chocolate chip cookies makes 24 servings of 375 calories each. Chad decided to make 150% of the amount in the recipe rather than the usual 100%. Approximately how many calories are in Chad's batch of cookies? a. 11200 b. 13500 c. 9700 d. 6400

b: 13500

Carl works for a newspaper, and wants to write 15 short articles this week. He writes 3 articles on Monday. If Carl works Monday through Friday, how many articles should he write each day for the rest of the week in order to reach his goal? a. 4 b. 3 c. 2 d. 2.5

b: 3

Laura goes to the grocery store every 5 days and Tim goes to the same grocery store every 6 days. If Laura and Tim both went to the grocery store today, when is the next time they will both go to the grocery store on the same day? a. 11 days b. 30 days c. 60 days d. There is not enough information to answer the question.

b: 30 days

Which of the following is equivalent to 4 × 4 × 4 × 4? a. √4*4 b. 44 c. 4/4 d. 4000

b: 44

Will is filling up his pool for the summer, and water from the hose flows into the pool at 6 gallons per minute. The pool holds 17,280 gallons. How long, in hours, does it take to fill the pool? a. 24 hours b. 48 hours c. 72 hours d. 16 hours

b: 48 hours

How long will it take to reach a town 250 miles a way if you drive 50 miles per hour? a. 4 hours b. 5 hours c. 10 hours d. 6 hours

b: 5 hours

Tina bought a scarf for $16.65. She gave the clerk $20. How much change should she get back? a. $4.35 b. $3.45 c. $3.35 d. $3.25

c: $3.35

Mike made a snack mix by combining 1 pound of nuts that cost $13.50 per pound; 2 pounds of pretzels that cost $4.25 per pound; and 4 pounds of cheese crackers that cost $4.60 per pound. What is the price per pound of Mike's snack mix? a. $5.04 b. $4.12 c. $5.77 d. $3.98

c: $5.77

Solve the following equation: |7 - (24 ÷ | 3-6 |)| a. 15 b. -12 c. 1 d. -1

c: 1

Which of the following is a prime number? a. 27 b. 9 c. 2 d. 12

c: 2

Convert 0.023 to a fraction. a. .023/100 b. 23/100 c. 23/1000 d. 2 2/67

c: 23/1000

Every day, Bert spends an hour commuting to and from his office, driving at an average speed of 50 mph and taking the same route each way. How far does Bert live from his office? a. 50 miles b. 30 miles c. 25 miles d. 15 miles

c: 25 miles

Simplify the following: 5 1⁄3 - 7 5⁄6 + 6 1⁄4 = a. 5 1/4 b. 3 1/4 c. 3 3/4 d. 4 1/6

c: 3 3/4

A cooler full of sodas has 12 lemon-lime drinks and 18 gingerales. If one drink is selected at random and then a second drink is selected at random, what are the chances that both sodas will be gingerales? a. 17 in 50 b. 1 in 2 c. 3 in 5 d. 30 in 51

c: 3 in 5

Continue the pattern: 6, 9, 13.5, 20.25, ? a. 32.5 b. 25 c. 30.375 d. 27

c: 30.375

Will has been working on a report for 4 hours each day, 7 days a week for 2 weeks. How many minutes has Will worked on his report? a. 7204 minutes b. 5284 minutes c. 3360 minutes d. 2400 minutes

c: 3360 minutes

Divide: (8.8 × 10^-8) ÷ (2.2 × 10^-6) = a. 6.6 x 10^2 b. 4.0 x 10^-14 c. 4.0 x 10^-2 d. 0.4 x 10^-4

c: 4.0 x 10^-2

Kevin and Kara are in a pancake-eating contest. Kevin can eat three pancakes per minute, while Kara can eat 3 ½ pancakes per minute. How many total pancakes can they eat in 10 minutes? a. 52 pancakes b. 72 pancakes c. 65 pancakes d. 44 pancakes

c: 65 pancakes

Convert 0.075 to a percent a. 0.08% b. 0.75% c. 7.50% d. 75%

c: 7.50%

Simplify: 7x(8 - 3) ÷ 5 a. 56x - 3/5 b. X c. 7x d. 35x

c: 7x

Four tons of gravel weighs how many pounds? a. 4000 b. 16000 c. 8000 d. 12000

c: 8000

Which of the following numbers is divisible by 3? a. 49,763,296 b. 32,832,988 c. 85,019,457 d. 18,067,871

c: 85,019,457

If 5 apples cost $2.00, how much will 15 apples cost? a. $8 b. $30 c. $10 d. $6

d: $6

Simplify: 5! / 8!2! a. 1/336 b. 5/4 c. 5/16 d. 1/672

d: 1/672

What is the result when 7 is added to the product of 2 and 3? a. 20 b. 17 c. 35 d. 13

d: 13

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full? a. 15 b. 12 c. 24 d. 18

d: 18

What should come next in the following sequence? 64a, 55b, 46c, 37d, 28e, ? a. 16h, 14i, 12j b. 14f, 7g, 1h c. 17g, 10h, 9i d. 19f, 10g, 1h

d: 19f, 10g, 1h

Which answer is equivalent to seven to the fourth power? a. 0.0007 b. 70,000 c. 1 d. 2401

d: 2401

What is twelve percent as a fraction? a. 5/26 b. 1/8 c. 1/12 d. 3/25

d: 3/25

How much time is there between 7:45 am today and 3:15 pm tomorrow? a. 7.5 hours b. 30.5 hours c. 31.5 hours d. 32.5 hours

d: 32.5 hours

What is the absolute value of the quantity two minus seven? a. -5 b. 9 c. 0 d. 5

d: 5

Rachel is driving to visit her mother, who lives 250 miles away. How long will the drive be, round-trip, if Rachel drives at an average speed of 40 mph? a. 125 minutes b. 290 minutes c. 675 minutes d. 750 minutes

d: 750 minutes

The supervisor of a small company is designing a new open office layout and thinks that employees will need 4 chairs for every 2 desks. How many office chairs will be needed for an office building with 40 desks? a. 64 chairs b. 40 chairs c. 20 chairs d. 80 chairs

d: 80 chairs

Which of the following is true? a. If a number is divisible by 5, it is also divisible by 10 b. If a number is divisible by 1, it is also divisible by 2 c. If a number is divisible by 6, it is also divisible by 9. d. If a number is divisible by 2 and 3, it is also divisible by 6.

d: If a number is divisible by 2 and 3, it is also divisible by 6.

1. x^3 · x^5 = a. x^15 b. x^2 c. x^5/3 d. x^8

d: x^8

The absolute value of the quantity of 5 plus a number equals 10. Which of the following options is the correct solution set for the above equation? a. {-5,5} b. {10,-10} c. {-5,15} d. {-15,5}

d: {-15,5}