ASVAB Arithmetic Reasoning Solved MCQs

 

ASVAB Arithmetic Reasoning Solved MCQs

If angles A and B are angles of a parallelogram, what is the sum of the measures of the two angles?

(A) 360 degrees

(B) 180 degrees

(C) 90 degrees

(D) Cannot be determined✔

An architect’s floor plan uses 1/2 inch to represent one mile. What is the actual distance represented by 4 1/2 inches?

(A) 9 miles✔

(B) 8 miles

(C) 7 miles

(D) 6 miles

If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost?

(A) $12.00

(B) $3.50

(C) $42.00✔

(D) $100.00

In the deck of cards, there are two spades, 3 hearts, 5 clubs, and 8 diamonds. What is the probability that Alan will pick out a spade?

(A) 1/18

(B) 1/2

(C) 1/9✔

(D) 1/8

 An employee’s ratings on performance appraisals for the last three quarters were 92, 88, and 86. If the required yearly average to qualify for the promotion is 90, how much should the fourth quarter rating be?

(A) 90

(B) 93

(C) 92

(D) 94✔

If a tutor earns $1 per hour, how much will she earn in a week if she reports on Mondays and Thursdays, 10 AM to 12 noon and 1 PM to 7 PM, and Saturdays, 9 AM to 12 noon?

(A) $20

(B) $19✔

(C) $18

(D) $17

ABC Corporation earned only $120,000 during the previous year, one-third only of the management’s predicted income. How much earning did the management predict?

(A) $40,000

(B) $360,000✔

(C) $36,000

(D) $400,000

What is the prime factorization of 560?

(A) 2 x 2 x 5 x 7

(B) 5 x 7

(C) 2 x 2 x 2 x 2 x 5 x 7✔

(D) 2 x 2 x 2 x 5 x 7

The sum of two numbers is 70. One number is 8 more than the other. What’s the smaller number?

(A) 31✔

(B) 33

(C) 35

(D) 36

A sales manager buys antacid in bottles by the gross. If he goes through 3 bottles of antacid every day, how long will the gross last?

(A) 144 days

(B) 3 days

(C) 20 days

(D) 48 days✔

Jenny’s test grades are 93, 89, 96, and 98. If she wishes to raise her average to 95, what does she need to score on her next test?

(A) 100

(B) 99✔

(C) 97

(D) 95

A waitress earns an average tip of 12% of the cost of the food she serves. If she serves $375 worth of food in one evening, how much money in tips will she earn on average?

(A) $37

(B) $45✔

(C) $42

(D) $420

Lisa went to the grocery store and bought a package of hot dogs for $3.54, a package of buns for $1.79, a container of mustard for $2.10, a jar of relish for $2.16, and a bag of charcoal for $5.15. What was her total bill?

(A) $12.64

(B) $14.74✔

(C) $16.15

(D) $16.74

Kim bought a blouse for $17.16, a skirt for $38.19, and a purse for $35.14. If she hands the clerk a $100 bill, what is her change?

(A) $1.53

(B) $9.51✔

(C) $10.67

(D) $14.15

Brian shoots hoops with Dave, who is two years younger than Brian. If Brian is 17, how old is Dave?

(A) 15✔

(B) 17

(C) 19

(D) 21

Al has three times as much money as Bill. Bill has two times as much money as Charlie. If Charlie has $5.89, how much money does Al have?

(A) $11.78

(B) $19.79

(C) $29.24

(D) $35.34✔

The car owned by Marisa gets an average of 16 miles per gallon of gas on the highway. If she recently took a trip of 1,344 miles, how many gallons of gas did she use?

(A) 34 gallons

(B) 57 gallons

(C) 78 gallons

(D) 84 gallons✔

Cassidy answered 38 questions correctly on a test with 45 items. To the nearest percent, what percent did she answer correctly?

(A) 72%

(B) 78%

(C) 84%✔

(D) 89%

Susan’s test scores for Social Studies are 81, 76, 91, 73, and 79. What is her average score?

(A) 80✔

(B) 87

(C) 91

(D) 93

A box of chocolates has 45 pieces. If 9 pieces have nuts in them, what percentage are without nuts?

(A) 20%

(B) 45%

(C) 79%

(D) 80%✔

In the Metro Bicycle Club, 6 of 48 members are females. What is the ratio of females to all club members?

(A) 3/16

(B) 1/15

(C) 1/4

(D) 1/8✔

A teacher has assigned 192 pages of reading. If Vanessa starts reading on Monday and reads 48 pages each day, on what day will she complete the assignment?

(A) Wednesday

(B) Thursday✔

(C) Friday

(D) Saturday

Samuel is saving coins in a jar so that he can purchase a software program. He has saved 94 nickels, 44 quarters, and 112 dimes. If he reaches into the jar to pick one coin at random, what is the probability that he will pick a dime?

(A) 1/2

(B) 2/3

(C)  56/125✔

(D) 112/138

Rene deposits $4,000 in a savings account that earns 4% simple interest per year. How much interest will she earn after 3 years?

(A) $112

(B) $350

(C) $380

(D) $480✔

Leah flies 5,200 miles in 11 hours. What is the average speed of her airplane?

(A) 472.73 miles/hour✔

(B) 499.17 miles/hour

(C) 512.33 miles/hour

(D) 587.43 miles/hour

The Kent High School Booster’s Club has 250 members. In 90 days it hopes to have a membership of 376 by initiating a Web-based membership campaign. On average, how many new members does it need to sign up each day to reach that goal?

(A) 1

(B) 1.4✔

(C) 1.5

(D) 2.2

Max has a rectangular garden that is 3 feet by 7 feet. If he needs 2 ounces of fertilizer per square foot for the garden to flourish, how many ounces must he use?

(A) 21 oz

(B) 42 oz✔

(C) 44 oz

(D) 56 oz

The local electronics store is holding a 20%-off sale on all its products. Marla selects 2 CDs at the original price of $16.99 each. What is the price of the two CDs after the 20% discount?

(A) $15.99

(B) $22.50

(C) $25.78

(D) $27.18✔

The Berkeley Department Store is running a special back-to-school sale on shoes in September. A pair of shoes costs $67.50. In October the price increases to $87.75. What percent increase is the price in October?

(A) 15%

(B) 20%

(C) 24%

(D) 30%✔

Two numbers together add to 300. One number is twice the size of the other. What are the two numbers?

(A) 25; 50

(B) 50; 100

(C) 75; 150

(D) 100; 200✔

Hugo is making a picture frame for a photo of his family. The photo is 8 inches by 10 inches. If the wood for the frame costs 50 cents an inch, how much will the wood for the frame cost?

(A) $9.00

(B) $12.00

(C) $15.00

(D) $18.00✔

Sue spent one-third of her life in Kansas. If Sue is 39, how many years did she spend in Kansas?

(A) 9

(B) 12

(C) 13✔

(D) 15

A rectangular swimming pool is 6 feet deep, 28 feet long, and 12 feet wide. What is the volume of the pool?

(A) 1,655 ft³

(B) 1,799 ft³

(C) 2,016 ft³✔

(D) 2,546 ft³

Josh wants to put a fence around his rectangular garden. The garden is 6 feet by 15 feet. How much fencing must he purchase?

(A) 30 feet

(B) 35 feet

(C) 42 feet✔

 (D) 47 feet

In a recent election, Joe received 32% of the votes, Samantha received 14% of the votes, Sally received 42% of the votes, and Cal received 12% of the votes. If 5,000 votes were cast, how many votes did Samantha receive?

(A) 300

(B) 450

(C) 535

(D) 700✔

A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume?

(A) 450.2 m³

(B) 575.9 m³

(C) 890.2 m³✔

(D) 974.4 m³

The diameter of a planet is 8,000 miles. What is its circumference?

(A) 19,412 miles

(B) 20,889 miles

(C) 25,120 miles✔

(D) 28,475 miles

Will has $4,355.19 in his checking account. He writes checks for $1,204.90 and $890.99. How much is left in Will’s account?

(A) $1,189.65

(B) $2,259.30✔

(C) $2,867.30

(D) $2,989.50

A club collected $585.00. If 75% of that came from membership dues, how much money came from the dues?

(A) $413.15

(B) $438.75✔

(C) $465.75

(D) $525.05

Danny buys a computer originally priced at $750.00, software programs originally priced at $398.75, a printer originally priced at $149.98, and a case of paper originally priced at $24.99. All items are on sale for 20% off. How much will Danny save because of the sale?

(A) $124.94

(B) $196.74

(C) $236.24

(D) $264.74✔

A ladder is placed against a building. If the ladder makes a 55° angle with the ground, what is the measure of the angle that the ladder makes with the building?

(A) 35°✔

(B) 40°

(C) 55°

(D) 90°

How many square feet of carpeting are needed to carpet a 12-foot x 12-foot room?

(A) 24

(B) 120

(C) 48

(D) 144✔

Carpet stain protector costs $0.65 per square yard to apply. How much will it cost to apply the protector to a 16-foot x 18-foot carpet?

(A) $187.20

(B) $62.40

(C) $20.80✔

(D) $96.00

A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each. How many cards must the printing plant sell each month in order to make a profit?

(A) 30,000

(B) 40,000

(C) 50,000✔

(D) 60,000

Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?

(A) $0.57

(B) $8.90

(C) $8.72✔

(D) $13.85

 Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later, her husband Dave notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves?

(A) 49 mph

(B) 50.5 mph

(C) 52.5 mph✔

(D) 54 mph

A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, a preschool teacher buys one-third of his pies, and a caterer buys one-sixth of his pies. How many pies does the baker have left?

(A) 6/12✔

(B) 15

(C) 12

(D) 5

Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase?

(A) $7.50✔

(B) $1.50

(C) $8.00

(D) $22.50

A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn’t run into any thieves?

(A) 20.00 minutes

(B) 3.75 minutes

(C) 22.50 minutes✔

(D) 7.5 minutes

The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted The town council originally predicted the city’s population would grow by

(A) 400,000

(B) 500,000✔

(C) 300,000

(D) 100,000

Joan is taking an admissions examination. If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?

(A) 30%

(B) 40%

(C) 66(1)/3 %

(D) 66(2)/3 %✔

An office building has 30 employees and provides 42 square feet of work space per employee. If five more employees are hired, how much less work space will each employee have?

(A) 6 square feet✔

(B) 7 square feet

(C) 7.5 square feet

(D) 36 square feet

Stan bought a monster truck for $2,000 down and payments of $450 a month for five years. What’s the total cost of the monster truck?

(A) $4,250

(B) $29,000✔

(C) $27,000

(D) $34,400

Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Darla’s groceries?

(A) $343.68

(B) $110.45

(C) $114.86

(D) $114.56✔

Keith is driving from Reno to Kansas City to meet his girlfriend The distance between the two cities is 1,650 miles. If Keith can average 50 miles per hour, how many hours will it take him to complete his trip?

(A) 8 hours

(B) 30 hours

(C) 33 hours✔

(D) 82 hours

Michael needs 55 gallons of paint to paint an apartment building. He would like to purchase the paint for the least amount of money possible. Which of the following should he buy?

(A) two 25-gallon buckets at $550 each

(B) eleven 5-gallon buckets at $108 each✔

(C) six 10-gallon buckets at $215 each

(D) fifty-five 1-gallon buckets at $23 each

A train headed south for Wichita left the station at the same time a train headed north for Des Moines left the same station. The train headed for Wichita traveled at 55 miles per hour. The train headed for Des Moines traveled at 70 miles per hour. How many miles apart are the trains at the end of 3 hours?

(A) 210 miles

(B) 165 miles

(C) 125 miles

(D) 375 miles✔

A carpenter needs to cut four sections, each 3 feet, 8 inches long, from a piece of molding. If the board is only sold by the foot, what’s the shortest length of board she can buy?

(A) 15 feet✔

(B) 14 feet

(C) 16 feet

(D) 12 feet

Kiya had only one coupon for 10% off one frozen turkey breast. The turkey breasts cost $8.50 each, and Kiya wanted to buy two. How much did she pay?

(A) $16.15✔

(B) $17.00

(C) $15.30

(D) $7.65

A recruiter travels 1,100 miles during a 40-hour workweek. If she spends of her time traveling, how many hours does she spend traveling?

(A) 22

(B) 5(1)/2

(C) 16✔

(D) 8

Your car uses gasoline at the rate of 21 miles per gallon. If gasoline costs $2.82 per gallon and you drive for 7 hours at a speed of 48 miles per hour, how much will you pay for gasoline for the trip?

(A) $38.18

(B) $45.12✔

(C) $47.73

(D) 59.27

The bride and groom invited 120 guests for their wedding reception. 90 guests arrived. What percent of the guest list was not present?

(A) 92%

(B) 25%✔

(C) 20.9%

(D) 29.9%

A writer finishes 360 pages of his manuscript in 40 hours. How many pages is his average?

(A) 9✔

(B) 12

(C) 6

(D) 4

 If x is 75 percent of 360, what is x?

(A) 298.50

(B) 297.50

(C) 279.50

(D) 270✔

If you were making $5.00 per hour and got a raise  to %5.75 per hour, what percentage increase was the raise?

(A) 8%

(B) 7%

(C) 15%✔

(D) 8.5%

A philanthropist donates 2/5 of his monthly income for the construction of the nearby church. How much percentage of his monthly income is he donating?

(A) 40%✔

(B) 4%

(C) 14%

(D) 400%

Grace answered 14 out of the 20 questions correctly. What percentage of the total number of questions was she able to answer correctly?

(A) 7%

(B) 17%

(C) 70%✔

(D) 77%

In a bundle of 30 fruits, 6 are apples and the rest are oranges. What percent of the bundle is composed of apples?

(A) 47%

(B) 47.75%

(C) 20%✔

(D) 40.75%

While at work, Nina checks her email once every 80 minutes. In her 8-hour work shift, how many times does she check her email?

(A) 6 times✔

(B) 7 times

(C) 5 times

(D) 4 times

If a gym measures 25 feet by 38 feet, what is its area?

(A) 905 feet

(B) 950 feet✔

(C) 509 feet

(D) 590 feet

If a box has red and blue balls in a ratio of 3:4 red to blue, how many red balls are there if 80 blue balls are in the box?

(A) 40

(B) 60✔

(C) 80

(D) 30

Jean had $25.86 in her pocket. If shoes cost $7.50 a pair plus 10% tax. How many pairscan she buy?

(A) 2

(B) 3✔

(C) 4

(D) 5

There are 47 convention participants staying in the university dormitory. If one dormitory room accommodates 6 participants, how many participants will be staying in the room that is not full?

(A) 7

(B) 6

(C) 5✔

(D) 4

A family owns 20 dozens of magazines. After donating 78 magazines to the public library, how many magazines are still with the family?

(A) 62

(B) 26

(C) 162✔

(D) 126

There are 40 rooms that need to be painted and only 6 painters available. If there are still 10 rooms unpainted by the end of the day, what is the average number of rooms that each painter has painted?

(A) 5✔

(B) 6

(C) 7

(D) 8

If 3 garbage trucks can collect the trash of 24 homes in a day, how many trucks are needed to collect in 72 houses?

(A) 9✔

(B) 3

(C) 24

(D) 8

Linda needs 2/5 of an ounce of salt to make 1 cup of dip for fries. How many cups of dip will she be able to make if she has 40 ounces of salt?

(A) 40 cups

(B) 80 cups

(C) 100 cups✔

(D) 120 cups

Mae reported to work at 8:45 AM and went out at 6:15 PM. How many hours and minutes did she stay in the office?

(A) 9 hours

(B) 6 hours

(C) 9 hours and 30 minutes✔

(D) 6 hours and 30 minutes

I’ve got 26 quarts of milk and my family drinks 2 gallons of milk per week. How many weeks will that last us?

(A) 2 weeks

(B) 2.5 weeks

(C) 2.25 weeks

(D) 3.25 weeks✔

42 passengers fit on my plane. How many trips will I have to make to transport 104 people 100 miles in 1 day?

(A) 4

(B) 5

(C) 3✔

(D) 2

A pole is 8 feet long. Its shadow is 6 feet long. If you draw a line from the tip of the pole to the tip of the shadow, how long will the line be?

(A) 18 feet

(B) 12 feet

(C) 20 feet

(D) 10 feet✔

An item in the store originally priced at $300 was marked down 20% then an additional 15%. What was the final sale price of the item

(A) $240

(B) $204✔

(C) $195

(D) $200

A company pays its writer $3 for every 300 words written. How much will a writer earn for an article with 760 words?

(A) $9

(B) $3.6

(C) $7.6✔

(D) $6.7

A newlywed couple bought a car with $3500 down payment and needs to pay $580 per month for four and a half years. How much did they have to pay for that car, all in all?

(A) $34820✔

(B) $35802

(C) $5800

(D) $31320

A teacher deposits $3,000 in a retirement fund If she doesn’t add any more money to the fund, which earns an annual interest rate of 6%, how much money will she have in 1 year?

(A) $180

(B) $3,006

(C) $3,180✔

(D) $6,000

The high school track measures one quarter of a mile around How many laps would you have to run in order to run three and a half miles?

(A) 12

(B) 14✔

(C) 16

(D) 18

Karl is driving in Austria, where the speed limit is posted in kilometers per hour. The

car’s speedometer shows that he’s traveling at a rate of 75 kilometers per hour. Karl knows that a kilometer is about of a mile. Approximately how many miles per hour is Karl traveling?

(A) 47✔

(B) 120

(C) 50

(D) 53

A carpenter earns $12.30 an hour for a 40-hour week. His overtime pay is times his base pay. If he puts in a 46-hour week, how much is his weekly pay?

(A) $602.70✔

(B) $492.00

(C) $565.80

(D) $110.70