Arithmetic Reasoning · Practice test 2
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
Of the 425 items shipped this week, 8 percent arrived damaged. How many items arrived damaged?
Correct answer: 34 items
Convert the percent to a decimal and multiply by the total shipped. That gives 0.08 x 425 = 34 damaged items.
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Question 2Not answered
A bottle holds 750 milliliters of liquid. About how many fluid ounces is that, using 1 fluid ounce equals about 29.6 milliliters?
Correct answer: About 25.34 fluid ounces
Divide the milliliter volume by the size of one fluid ounce in milliliters. 750 divided by 29.6 is about 25.34 fluid ounces.
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Question 3Not answered
A fence post stands 4 feet 8 inches tall. Written as a decimal, how many feet tall is the post?
Correct answer: 4.67 feet
Convert the extra inches to a fraction of a foot: 8 inches is 8/12, or about 0.67 feet. Adding that to 4 feet gives about 4.67 feet.
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Question 4Not answered
A clinic recorded these patient wait times in minutes: 12, 18, 15, 21, 12, 18. What is the mean wait time?
Correct answer: 16 minutes
Add all six wait times and divide by 6. The total is 96 minutes, and 96 divided by 6 is 16 minutes.
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Question 5Not answered
A student needs an average of 88 across four tests. The first three scores are 84, 90, and 86. What score is needed on the fourth test?
Correct answer: 92
Work backwards from the total the average requires. Four tests averaging 88 need 88 x 4 = 352 points, and the first three supply 260, so the fourth test must score 352 - 260 = 92.
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Question 6Not answered
In a maintenance unit the ratio of mechanics to drivers is 3 to 5. If the unit has 96 people in total, how many are mechanics?
Correct answer: 36 mechanics
A 3 to 5 ratio splits the unit into 3 + 5 = 8 shares, so mechanics are 3 of those 8. One share is 96 divided by 8, or 12 people, and three shares give 36 mechanics.
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Question 7Not answered
A square plot measures 18 feet on each side. How much fencing is needed to enclose it?
Correct answer: 72 feet
Fencing follows the perimeter, and a square has four equal sides, so 18 x 4 = 72 feet. The choice 324 is the area.
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Question 8Not answered
A shopper buys groceries costing $18.42, $6.75, and $23.09. What change is due back from a $50 bill?
Correct answer: $1.74
Add the three purchases first: 18.42 + 6.75 + 23.09 comes to $48.26. Subtracting that from $50.00 leaves $1.74 in change.
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Question 9Not answered
A batch of trail cement mixes gravel to sand in a ratio of 5 to 2. How much sand is in 42 cubic feet of the mix?
Correct answer: 12 cubic feet
The mix divides into 5 + 2 = 7 parts, with sand making up 2 of them. One part is 42 divided by 7, or 6 cubic feet, so sand totals 2 x 6 = 12 cubic feet.
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Question 10Not answered
A pipe measuring 8 1/4 feet has 3 5/8 feet cut from it. How much is left?
Correct answer: 4 5/8 feet
Put both over eighths: 8 1/4 becomes 8 2/8. Since 2/8 is smaller than 5/8, borrow a whole foot to make 7 10/8, then subtract 3 5/8 to leave 4 5/8 feet.
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Question 11Not answered
How much simple interest does $2,400 earn in 3 years at an annual rate of 5 percent?
Correct answer: $360
Simple interest is principal times rate times time. One year earns 2400 x 0.05 = $120, so three years earn 3 x 120 = $360. Note the question asks for the interest alone, not the final balance.
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Question 12Not answered
A gauge reads 0.625 inch. Which fraction of an inch matches this reading?
Correct answer: 5/8 inch
Write the decimal over a power of ten: 0.625 is 625/1000, and dividing top and bottom by 125 reduces it to 5/8. Recognizing common eighths like this speeds up shop-floor readings.
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Question 13Not answered
A storage box measures 3 feet by 4 feet by 6 feet. What is its volume?
Correct answer: 72 cubic feet
Volume is length times width times height, so 3 x 4 x 6 = 72 cubic feet.
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Question 14Not answered
If 5 buckets of sealant cover 850 square feet, how many buckets are needed to cover 1,530 square feet?
Correct answer: 9 buckets
One bucket covers 850 divided by 5, or 170 square feet. Dividing the new area by that coverage, 1,530 divided by 170, gives 9 buckets.
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Question 15Not answered
If 4 gallons of paint cover 1,400 square feet, how many gallons are needed to cover 2,450 square feet?
Correct answer: 7 gallons
Find the coverage of a single gallon first. One gallon covers 1,400 divided by 4, or 350 square feet, so 2,450 square feet needs 2,450 divided by 350, which is 7 gallons.
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Question 16Not answered
Three workers each paint 2 rooms a day. How many days will they need to paint 24 rooms?
Correct answer: 4 days
The crew paints 3 x 2 = 6 rooms a day, so 24 rooms take 24 / 6 = 4 days. Answering 12 uses one worker's rate and forgets the other two.
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Question 17Not answered
A driver must cover 487 miles at an average of about 55 miles per hour. Roughly how long will the trip take?
Correct answer: About 9 hours
Round to friendly numbers: 487 is close to 500 and 500 divided by 55 is a little over 9, so about 9 hours. The exact figure is 8.85 hours.
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Question 18Not answered
A 24 ounce box of cereal costs $4.80 and a 36 ounce box costs $6.84. How much less does the larger box cost per ounce?
Correct answer: 1 cent
Reduce both boxes to a price per ounce before comparing. The small box costs 4.80 divided by 24, or 20 cents per ounce, and the large box costs 6.84 divided by 36, or 19 cents per ounce. The difference is 1 cent.
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Question 19Not answered
A storage bin shaped like a rectangular box measures 5 feet long, 4 feet wide, and 3 feet deep. What is its volume?
Correct answer: 60 cubic feet
Volume of a rectangular container is length times width times height. Multiplying 5 x 4 x 3 gives 60 cubic feet.
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Question 20Not answered
A hotel room costs $120 per night before a 12 percent occupancy tax. What is the total cost for one night including tax?
Correct answer: $134.40
The tax adds 0.12 x 120 = $14.40 to the nightly rate, so the total charge is 120 + 14.40 = $134.40.
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Question 21Not answered
A recipe calls for 2 quarts of stock. How many cups is that?
Correct answer: 8 cups
A quart holds 2 pints and a pint holds 2 cups, so a quart is 4 cups and 2 quarts is 8 cups.
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Question 22Not answered
Boards that are 3/4 inch thick are stacked 8 high. How tall is the stack?
Correct answer: 6 inches
Repeated addition of a fraction is multiplication. Eight boards at 3/4 inch each give 8 x 3/4 = 24/4, which simplifies to 6 inches.
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Question 23Not answered
Of 180 applicants, 35 percent pass the physical fitness test. How many applicants pass?
Correct answer: 63 applicants
Turn the percent into a decimal and multiply by the group size. That gives 0.35 x 180 = 63 applicants.
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Question 24Not answered
A warehouse receives 3 pallets holding 48 boxes each and 5 pallets holding 36 boxes each. How many boxes arrived in total?
Correct answer: 324 boxes
Handle each pallet size separately, then add. The first group holds 3 x 48 = 144 boxes and the second holds 5 x 36 = 180 boxes, so the shipment totals 144 + 180 = 324 boxes.
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Question 25Not answered
A conveyor belt moves 45 packages every 3 minutes. At that rate, how many packages does it move in 20 minutes?
Correct answer: 300 packages
Find the rate per minute first: 45 divided by 3 is 15 packages per minute. Over 20 minutes that comes to 15 x 20 = 300 packages.
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Question 26Not answered
Eight pumps can drain a basin in 6 hours. Working at the same rate, how long would twelve pumps take?
Correct answer: 4 hours
More pumps means less time, so the relationship is inverse. The job takes 8 x 6 = 48 pump-hours, and 48 divided by 12 pumps gives 4 hours. Answering 9 treats the relationship as direct.
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Question 27Not answered
Daily sales for four days were 340, 285, 410, and 365 units. What was the average daily figure?
Correct answer: 350 units
The four days total 1,400 units, and dividing by 4 gives an average of 350. The last choice stops at the total.
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Question 28Not answered
A rectangular parking lot measures 90 feet by 60 feet. What is the area of the lot?
Correct answer: 5,400 square feet
The area of a rectangle is length times width, so 90 x 60 gives 5,400 square feet.
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Question 29Not answered
A supply clerk must pack 84 red markers and 60 blue markers into identical kits with none left over. What is the greatest number of kits that can be made?
Correct answer: 12 kits
Identical kits with nothing left over means the kit count must divide both totals, and the greatest such number is the greatest common factor. Since 84 is 2 x 2 x 3 x 7 and 60 is 2 x 2 x 3 x 5, they share 2 x 2 x 3 = 12, so 12 kits can be made.
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Question 30Not answered
A water tank holds 240 gallons when full. If the tank is currently 3/8 full, how many gallons does it contain?
Correct answer: 90 gallons
Finding a fraction of an amount means multiplying. One eighth of 240 gallons is 30 gallons, so three eighths is 3 x 30 = 90 gallons.
Your result
/ 30 correct
The ASVAB has no pass mark. Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension and Mathematics Knowledge make up your AFQT percentile.