Master Arithmetic Reasoning: A Quiz for ASVAB Preparation and Aptitude Enhancement

1) If a person invests $1,000 at an annual rate of 5%, how much interest will the person have after one year?

$5

$500

$50

$100

To calculate the interest earned, you multiply the initial investment ($1,000) by the annual interest rate (5%). $1,000 * 0.05 = $50.

Explanation

To calculate the interest earned, you multiply the initial investment ($1,000) by the annual interest rate (5%). $1,000 * 0.05 = $50.

2) If a load of snow contains 3 tons, it will weigh how many pounds?

6,000 pounds

4,500 pounds

3,000 pounds

8,000 pounds

To convert tons to pounds, you multiply the number of tons by 2,000 since 1 ton is equal to 2,000 pounds. Therefore, 3 tons x 2,000 pounds/ton = 6,000 pounds.

Explanation

To convert tons to pounds, you multiply the number of tons by 2,000 since 1 ton is equal to 2,000 pounds. Therefore, 3 tons x 2,000 pounds/ton = 6,000 pounds.

3) A pint of milk is what part of half a gallon?

1/3

1/2

1/4

3/4

A pint is 1/8 of a gallon, so half a gallon would be 4 pints. Therefore, a pint of milk is 1/4 of half a gallon.

Explanation

A pint is 1/8 of a gallon, so half a gallon would be 4 pints. Therefore, a pint of milk is 1/4 of half a gallon.

4) At the rate of 4 peaches for a half dollar, 20 peaches will cost?

$4.00

@2.50

$3.00

$1.50

To find the cost of 20 peaches, we can divide the total number of peaches by the rate. 20 peaches ÷ 4 peaches for $0.50 = $5.00 total cost. Therefore, the correct answer is $2.50.

Explanation

To find the cost of 20 peaches, we can divide the total number of peaches by the rate. 20 peaches ÷ 4 peaches for $0.50 = $5.00 total cost. Therefore, the correct answer is $2.50.

5) A student deposited in his savings account the money he had saved during the week. Find the amount of his deposit if he had 10 one-dollar bills, 9 half dollars, 8 quarters, 16 dimes, and 25 nickels.

$17.50

$19.35

$20.25

$18.75

To find the total amount of his deposit, we calculate the sum of the different denominations: $1 x 10 + $0.50 x 9 + $0.25 x 8 + $0.10 x 16 + $0.05 x 25 = $19.35.

Explanation

To find the total amount of his deposit, we calculate the sum of the different denominations: $1 x 10 + $0.50 x 9 + $0.25 x 8 + $0.10 x 16 + $0.05 x 25 = $19.35.

6) How many minutes are there in 1 day?

24

1,440

60

1,000

There are 24 hours in a day, and 60 minutes in an hour. Therefore, to find the total minutes in a day, you would multiply 24 by 60, which equals 1,440.

Explanation

There are 24 hours in a day, and 60 minutes in an hour. Therefore, to find the total minutes in a day, you would multiply 24 by 60, which equals 1,440.

7) One year the postage rate for sending 1 ounce of mail first class was increased from 25 cents to 29 cents. The percent of increase in the 29-cent postage rate was most nearly...

12 percent

16 percent

14 percent

10 percent

To calculate the percent increase, use the formula: ((New Value - Old Value) / Old Value) * 100. In this case, the increase is ((29 - 25) / 25) * 100 = 4 / 25 * 100 = 16 percent.

Explanation

To calculate the percent increase, use the formula: ((New Value - Old Value) / Old Value) * 100. In this case, the increase is ((29 - 25) / 25) * 100 = 4 / 25 * 100 = 16 percent.

8) On a scale drawing, a line 1/4-inch long represents a length of 1 foot. On the same drawing, what length represents 4 feet?

3 inches

1 inch.

1/2 inch

2 inches

The correct answer can be determined by dividing the length being represented by the length on the scale drawing. Since originally 1/4-inch represented 1 foot, to represent 4 feet, the length would be 4 times the original length, which is 1 inch.

Explanation

The correct answer can be determined by dividing the length being represented by the length on the scale drawing. Since originally 1/4-inch represented 1 foot, to represent 4 feet, the length would be 4 times the original length, which is 1 inch.

9) What is the greatest number of half-pint bottles that can be filled from a 10-gallon can of milk?

200

120

80

160

To calculate the number of half-pint bottles that can be filled from a 10-gallon can of milk, we need to know that there are 8 pints in a gallon and 2 pints in a quart. Therefore, a gallon can be divided into 8 half-pint bottles. Multiplying this by 10 gives us 80 half-pint bottles. But since there are 2 quarts in a gallon, the total number of half-pint bottles will be 2 times 80, which equals 160.

Explanation

To calculate the number of half-pint bottles that can be filled from a 10-gallon can of milk, we need to know that there are 8 pints in a gallon and 2 pints in a quart. Therefore, a gallon can be divided into 8 half-pint bottles. Multiplying this by 10 gives us 80 half-pint bottles. But since there are 2 quarts in a gallon, the total number of half-pint bottles will be 2 times 80, which equals 160.

10) If 6 men can paint a fence in 2 days, how many men, working at the same uniform rate, can finish it in 1 day?

12

3

9

18

The correct answer can be determined by realizing that if 6 men can complete the job in 2 days, it would take 12 men working at the same rate to finish it in half the time, which is 1 day.

Explanation

The correct answer can be determined by realizing that if 6 men can complete the job in 2 days, it would take 12 men working at the same rate to finish it in half the time, which is 1 day.

11) If 3 apples cost .48 cents, how many dozen apples can be bought for $3.84?

4

2

8

6

To find the number of dozens of apples that can be bought for $3.84, first calculate the cost of one dozen apples. Since 3 apples cost .48 cents, each apple costs .48/3 = .16 cents. Therefore, one dozen apples (12 apples) would cost 12 * .16 = $1.92. To find how many dozens can be bought with $3.84, divide $3.84 by $1.92 to get 2 dozens.

Explanation

To find the number of dozens of apples that can be bought for $3.84, first calculate the cost of one dozen apples. Since 3 apples cost .48 cents, each apple costs .48/3 = .16 cents. Therefore, one dozen apples (12 apples) would cost 12 * .16 = $1.92. To find how many dozens can be bought with $3.84, divide $3.84 by $1.92 to get 2 dozens.

12) How much time is there between 8:30a.m today and 3:15 a.m tomorrow?

18 3/4 hours

17 1/2 hours

20 hours

19 hours

To calculate the time difference, you subtract the start time from the end time. In this case, from 8:30 a.m today to 3:15 a.m tomorrow is a total of 18 hours and 45 minutes, which can also be expressed as 18 3/4 hours.

Explanation

To calculate the time difference, you subtract the start time from the end time. In this case, from 8:30 a.m today to 3:15 a.m tomorrow is a total of 18 hours and 45 minutes, which can also be expressed as 18 3/4 hours.

13) A clerk is asked to file 800 cards. If he can file cards at the rate of 80 cards per hour, the number of cards remaining to be filed after 7 hours of work is?

100

320

240

400

The clerk can file 80 cards per hour, so in 7 hours, he can file 80*7 = 560 cards. Therefore, the number of cards remaining to be filed after 7 hours of work is 800 - 560 = 240.

Explanation

The clerk can file 80 cards per hour, so in 7 hours, he can file 80*7 = 560 cards. Therefore, the number of cards remaining to be filed after 7 hours of work is 800 - 560 = 240.

14) A woman's weekly salary is increased from $350 to $380. The percent of increase is, most nearly?

B. 8 1/2%

A. 6%

D. 12 1/2%

C. 10%

To calculate the percent increase, we first find the difference between the old and new salary: $380 - $350 = $30. Then, we divide this difference by the old salary ($30 / $350) and multiply by 100 to get the percentage increase which is approximately 8 1/2%.

Explanation

To calculate the percent increase, we first find the difference between the old and new salary: $380 - $350 = $30. Then, we divide this difference by the old salary ($30 / $350) and multiply by 100 to get the percentage increase which is approximately 8 1/2%.

15) A truck traveling at a rate of 20 miles per hour will reach a town 40 miles away in how many hours?

2 Hours

1 Hour

4 Hours

3 Hours

To find the number of hours it will take for the truck to reach the town, you can use the formula: Time = Distance / Speed. In this case, Time = 40 miles / 20 miles per hour = 2 hours.

Explanation

To find the number of hours it will take for the truck to reach the town, you can use the formula: Time = Distance / Speed. In this case, Time = 40 miles / 20 miles per hour = 2 hours.

16) If a barrel has a capacity of 100 gallons, how many gallons will it contain when it is two-fifths full?

60 gallons

50 gallons

40 gallons

25 gallons

To find two-fifths of 100 gallons, you multiply 100 by 2/5 which equals 40 gallons.

Explanation

To find two-fifths of 100 gallons, you multiply 100 by 2/5 which equals 40 gallons.

17) If a salary of $20,000 is subject to a 20% deduction, the net salary is.

$18,000

$16,000

$15,000

$14,000

When a salary of $20,000 is subject to a 20% deduction, you would deduct $4,000 (20% of $20,000) from the original amount, resulting in a net salary of $16,000.

Explanation

When a salary of $20,000 is subject to a 20% deduction, you would deduct $4,000 (20% of $20,000) from the original amount, resulting in a net salary of $16,000.

18) If $2,000 is the cost of repairing 100 square yards of pavement, the cost of repairing 1 square yard is?

$15

$20

$25

$10

To find the cost of repairing 1 square yard, we divide the total cost by the total number of square yards repaired. In this case, $2,000 / 100 = $20 per square yard.

Explanation

To find the cost of repairing 1 square yard, we divide the total cost by the total number of square yards repaired. In this case, $2,000 / 100 = $20 per square yard.

19) A car can travel 24 miles on a gallon of gas. How many gallons will be used on a 192 mile trip?

8 gallons

6 gallons

10 gallons

12 gallons

To calculate the number of gallons needed for a 192 mile trip, divide the total miles by the miles per gallon the car can travel. Therefore, 192 miles / 24 miles per gallon = 8 gallons.

Explanation

To calculate the number of gallons needed for a 192 mile trip, divide the total miles by the miles per gallon the car can travel. Therefore, 192 miles / 24 miles per gallon = 8 gallons.

20) If an annual salary of $21,600 is increased by a bonus of $720 and by a service increment of $1,200, the total annual pay is?

$24,600

$20,480

$22,320

$23,520

To calculate the total annual pay, you simply add the salary, bonus, and service increment together. Thus, $21,600 + $720 + $1,200 = $23,520.

Explanation

To calculate the total annual pay, you simply add the salary, bonus, and service increment together. Thus, $21,600 + $720 + $1,200 = $23,520.

21) A man takes out a $5,000 life insurance policy at a yearly rate of $29.62 per $1,000. What is the yearly premium?

$148.10

$201.40

$265.30

$83.20

To calculate the yearly premium, multiply the insurance policy amount ($5,000) by the rate per $1,000 ($29.62), then divide by 1,000 to get $148.10.

Explanation

To calculate the yearly premium, multiply the insurance policy amount ($5,000) by the rate per $1,000 ($29.62), then divide by 1,000 to get $148.10.

22) On her maiden voyage, the S.S United States made the trip from New York to England in 3 days, 10 hours, and 40 minutes, beating the record set by the R.M.S Queen Mary in 1938 by 10 hours, and 2 minutes. How long did it take the Queen Mary to make the trip?

3 days, 18 hours, 30 minutes

3 days, 20 hours, 42 minutes

3 days, 21 hours, 5 minutes

4 days, 1 hour, 12 minutes

To find the duration taken by the Queen Mary, we need to add the extra time it took for the S.S. United States to complete the journey to the time it took Queen Mary initially. This gives us a total time of 3 days, 20 hours, and 42 minutes.

Explanation

To find the duration taken by the Queen Mary, we need to add the extra time it took for the S.S. United States to complete the journey to the time it took Queen Mary initially. This gives us a total time of 3 days, 20 hours, and 42 minutes.

23) John bought 20 party favors for $66. What was the cost of each one?

$4.20

$3.00

$2.50

$3.30

To find the cost of each party favor, divide the total cost ($66) by the number of party favors purchased (20). Therefore, $66 / 20 = $3.30 per party favor.

Explanation

To find the cost of each party favor, divide the total cost ($66) by the number of party favors purchased (20). Therefore, $66 / 20 = $3.30 per party favor.

24) On a map where an inch represents 200 miles, how many inches would represent a distance of 375 miles?

1 7/8 inch.

2 1/4 inch

2 inch

1 1/2 inch

To find the number of inches, divide the distance (375 miles) by the scale (200 miles per inch). This gives us 1.875 inches, which is equivalent to 1 7/8 inch.

Explanation

To find the number of inches, divide the distance (375 miles) by the scale (200 miles per inch). This gives us 1.875 inches, which is equivalent to 1 7/8 inch.

25) The number of half-pound packages of tea that can be made up from a box that holds 10 1/4 pounds of tea is?

15 1/4

12 1/2

20 1/2

18 3/4

To find the number of half-pound packages, we divide the total pounds of tea in the box by 0.5 (half pound). Therefore, 10 1/4 pounds of tea divided by 0.5 equals 20 1/2 packages.

Explanation

To find the number of half-pound packages, we divide the total pounds of tea in the box by 0.5 (half pound). Therefore, 10 1/4 pounds of tea divided by 0.5 equals 20 1/2 packages.

26) Potatoes are selling at $1.59 for a 5-pound bag. The cost of 10 pounds is?

$1.59 x 1.5

$1.59 x 2

$1.59

$1.59 x 3

To find the cost of 10 pounds of potatoes, we need to double the cost of 5 pounds, which is why the correct answer is $1.59 x 2.

Explanation

To find the cost of 10 pounds of potatoes, we need to double the cost of 5 pounds, which is why the correct answer is $1.59 x 2.

27) Five girls each ate 3 cookies from a box containing 2 dozen. What part of a dozen was left?

3/4

2/3

1/2

1/3

Each girl ate 3 cookies, which totals 15 cookies (5 girls * 3 cookies each). In terms of dozens, this is 15/12 = 1 and 3/4 dozen which is equivalent to 1 and 3/4 dozen. Therefore, the part of a dozen left is 1 - 1 and 3/4 = 1/4 dozen, or 3/4 in fraction form.

Explanation

Each girl ate 3 cookies, which totals 15 cookies (5 girls * 3 cookies each). In terms of dozens, this is 15/12 = 1 and 3/4 dozen which is equivalent to 1 and 3/4 dozen. Therefore, the part of a dozen left is 1 - 1 and 3/4 = 1/4 dozen, or 3/4 in fraction form.