Arithmetic Reasoning · Practice test 4
30 questions · 36 minutes
Answer every question, then tap Check results to see your score and the method behind each answer.
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Question 1Not answered
How many centimetres are there in 2.4 metres?
Correct answer: 240 centimetres
There are 100 centimetres in a metre, so 2.4 x 100 = 240 centimetres.
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Question 2Not answered
A part measures 15 centimeters long. About how many inches is that, using 1 inch equals 2.54 centimeters?
Correct answer: About 5.9 inches
Divide the metric length by the conversion factor to move from centimeters to inches. 15 divided by 2.54 is about 5.9 inches.
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Question 3Not answered
A monthly budget of $2,800 sets aside 1/5 for savings, $650 for rent, and $340 for a car payment. How much remains for everything else?
Correct answer: $1,250
Savings take one fifth of the budget, which is 2,800 divided by 5, or $560. Subtracting savings, rent, and the car payment, 2,800 - 560 - 650 - 340, leaves $1,250 for everything else.
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Question 4Not answered
A savings deposit of $2,000 earns 5 percent interest compounded annually. What is the balance after 2 years?
Correct answer: $2,205
Each year's interest is calculated on the new balance, not the original amount. After year one the balance is 2,000 x 1.05 = $2,100, and after year two it is 2,100 x 1.05 = $2,205.
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Question 5Not answered
A rectangular garden bed measures 22 feet by 15 feet and it needs a walking border, so a 1 foot wide strip is added around all four sides. What is the total fencing length needed around the outer edge of the border?
Correct answer: 82 feet
Adding a 1 foot border on every side increases both dimensions by 2 feet, since the border adds to each end. The outer rectangle becomes 24 by 17 feet, and its perimeter is 2 x (24 + 17), or 82 feet.
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Question 6Not answered
Monthly rent on an apartment rises from $850 to $918. By what percent did the rent increase?
Correct answer: 8 percent
Percent change compares the increase to the original amount, not the new one. The rent went up by 918 - 850 = 68 dollars, and 68 divided by 850 is 0.08, which is 8 percent.
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Question 7Not answered
Two ropes measuring 45 feet and 60 feet are to be cut into equal pieces of the greatest possible length, with none left over. How long is each piece?
Correct answer: 15 feet
The piece length must divide both ropes exactly, and the longest such length is the greatest common factor. Since 45 is 3 x 3 x 5 and 60 is 2 x 2 x 3 x 5, they share 3 x 5 = 15 feet. That gives 3 pieces from one rope and 4 from the other.
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Question 8Not answered
Of the 250 recruits in a training company, 18 percent qualify for advanced training. How many recruits qualify?
Correct answer: 45 recruits
Convert the percent to a decimal and multiply. 18 percent becomes 0.18, and 0.18 x 250 = 45 recruits.
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Question 9Not answered
A car with a 16 gallon tank averages 24 miles per gallon. About how far can it travel on 3/4 of a tank?
Correct answer: 288 miles
Three quarters of a 16 gallon tank is 12 gallons. At 24 miles per gallon, 12 gallons carries the car about 24 x 12 = 288 miles.
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Question 10Not answered
A helicopter flies 210 miles in 1 hour 24 minutes. What is its average speed in miles per hour?
Correct answer: 150 miles per hour
Convert the flight time to hours: 1 hour 24 minutes is 1.4 hours. Dividing distance by time, 210 divided by 1.4 gives 150 miles per hour.
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Question 11Not answered
A crew installs 14 windows in a 7 hour workday. If they keep the same pace, how many windows will they install in a 5 day workweek of the same length days?
Correct answer: 70 windows
The crew's daily output stays fixed at 14 windows, so multiply by the number of days: 14 x 5 gives 70 windows for the week.
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Question 12Not answered
An $1,800 purchase is repaid in 12 equal monthly installments, with $216 of interest added over the term. What is each monthly payment?
Correct answer: $168
The buyer repays the price plus the interest, so the amount owed is 1,800 + 216 = $2,016. Spread over 12 months that is 2,016 divided by 12, or $168 each month. Dividing only the $1,800 gives $150 and forgets the interest.
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Question 13Not answered
A fleet has cars and trucks in the ratio 5 to 3. If the fleet has 136 vehicles in total, how many are trucks?
Correct answer: 51 trucks
A 5 to 3 ratio splits the fleet into 5 + 3 = 8 shares, with trucks making up 3 of them. One share is 136 divided by 8, or 17 vehicles, so trucks number 3 x 17 = 51.
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Question 14Not answered
A supply order totalling $2,940 is divided evenly among 7 units. Approximately how much does each unit receive?
Correct answer: $420
Round to make the division easy: 2,940 is close to 2,800, which divides by 7 to give 400, so the answer is a little above 400. The exact figure is 2,940 divided by 7, or $420.
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Question 15Not answered
A recipe for 6 servings calls for 9 ounces of pasta. How much pasta is needed for 16 servings?
Correct answer: 24 ounces
Find the amount for one serving first. Nine ounces for 6 servings is 1.5 ounces per serving, and 1.5 x 16 gives 24 ounces for 16 servings.
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Question 16Not answered
How much simple interest does $5,000 earn in 2 years at 4 percent a year?
Correct answer: $400
Simple interest is principal times rate times time: 5,000 x 0.04 x 2 = $400. The choice $200 covers only one year.
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Question 17Not answered
A printer produces 540 pages in 9 minutes. How many pages does it print per minute?
Correct answer: 60 pages
A rate per minute is the total divided by the minutes elapsed, so 540 divided by 9 gives 60 pages per minute.
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Question 18Not answered
Three machines together produce 240 parts an hour. At the same rate, how many parts would seven machines produce?
Correct answer: 560 parts
One machine makes 240 / 3 = 80 parts an hour, so seven make 7 x 80 = 560. The choice 1,680 multiplies by 7 without first finding the rate for one.
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Question 19Not answered
A pipeline flows at 40 gallons per minute. Converted to gallons per hour, what is the flow rate?
Correct answer: 2,400 gallons per hour
There are 60 minutes in an hour, so multiply the per-minute rate by 60. That gives 40 x 60 = 2,400 gallons per hour.
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Question 20Not answered
How many pints are there in 3 gallons?
Correct answer: 24 pints
A gallon holds 4 quarts and each quart holds 2 pints, so a gallon is 8 pints and 3 gallons is 24. The choice 12 stops at quarts.
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Question 21Not answered
The price of a part drops from $240 to $186. By what percent did the price decrease?
Correct answer: 22.5 percent
Compare the drop to the original price. The price fell by 240 - 186 = $54, and 54 divided by 240 is 0.225, which is 22.5 percent. Dividing by the new price instead is the usual mistake.
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Question 22Not answered
What is the median of 4, 11, 7, 2, 9, and 6?
Correct answer: 6.5
Order the values first: 2, 4, 6, 7, 9, 11. With six values there is no single middle one, so average the third and fourth to get 6.5. The choice 6.8 is the mean.
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Question 23Not answered
A table lists quarterly output in units: Q1 320, Q2 410, Q3 380, Q4 450. What is the average quarterly output for the year?
Correct answer: 390 units
Add the four quarters and divide by 4. The total is 320 + 410 + 380 + 450 = 1,560, and 1,560 divided by 4 gives an average of 390 units.
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Question 24Not answered
A truck averages 24 miles per gallon. How much fuel is needed for a 480 mile trip?
Correct answer: 20 gallons
Divide the distance by the miles each gallon covers: 480 / 24 = 20 gallons.
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Question 25Not answered
A savings account grows from $1,600 to $1,712 over one year with no additional deposits. What is the percent increase?
Correct answer: 7 percent
Compare the growth to the starting balance. The account grew by 1,712 - 1,600 = 112 dollars, and 112 divided by 1,600 is 0.07, or 7 percent.
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Question 26Not answered
A part is sold 6 for $7.50 or 10 for $12.00. How much less does each part cost in the larger pack?
Correct answer: 5 cents
Reduce both to a price per part before comparing: 7.50 / 6 = $1.25 and 12.00 / 10 = $1.20. The difference is 5 cents each. Comparing the pack prices directly tells you nothing useful.
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Question 27Not answered
A driver travels 150 miles at 50 miles per hour, then 90 miles at 30 miles per hour. What is the average speed for the whole trip?
Correct answer: 40 miles per hour
Average speed is total distance over total time, not the average of the two speeds. The legs take 3 hours and 3 hours, so 240 miles over 6 hours gives 40 miles per hour.
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Question 28Not answered
A household earns $4,000 a month. Housing takes one third of that, groceries cost $520, and utilities cost $310. How much is left over?
Correct answer: $1,837
Convert the fraction to dollars before subtracting. Housing is one third of 4,000, about $1,333, and the fixed expenses total 520 + 310 = $830, so 4,000 - 1,333 - 830 leaves about $1,837.
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Question 29Not answered
A meal costs $46.00 and the customer adds an 18 percent tip. What is the total paid?
Correct answer: $54.28
The total is the meal plus the tip, which is the same as 118 percent of the bill. The tip is 0.18 x 46 = $8.28, so the total is 46 + 8.28 = $54.28. Answering $8.28 gives only the tip.
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Question 30Not answered
A rectangular storage tank measures 4 feet long, 3 feet wide, and 2.5 feet deep. What is its volume?
Correct answer: 30 cubic feet
The volume of a rectangular container is length times width times height. Multiplying 4 x 3 x 2.5 gives 30 cubic feet.
Your result
/ 30 correct
The ASVAB has no pass mark. Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension and Mathematics Knowledge make up your AFQT percentile.