Arithmetic Reasoning · Practice test 5
30 questions · 36 minutes
Answer every question, then tap Check results to see your score and the method behind each answer.
-
Question 1Not answered
A team logged these weekly sales totals: 42, 38, 55, 47, 60, 33. What is the median of the data set?
Correct answer: 44.5
First arrange the values in order: 33, 38, 42, 47, 55, 60. With six values there is no single middle one, so average the third and fourth, 42 and 47, to get 44.5.
-
Question 2Not answered
A single printer can finish a print run in 8 hours. How much of the run does it complete in 3 hours?
Correct answer: 3/8 of the run
Working at a steady rate, the printer completes 1/8 of the run every hour, so in 3 hours it finishes 3 x 1/8, or 3/8 of the run.
-
Question 3Not answered
Pipe A can drain a pool in 10 hours and pipe B can drain it in 15 hours. Working together, how long will the two pipes take to drain the pool?
Correct answer: 6 hours
Add the drain rates rather than the times. Pipe A drains 1/10 of the pool per hour and pipe B drains 1/15, and their sum is 1/6 of the pool per hour, so the pool empties in 6 hours.
-
Question 4Not answered
A real estate agent earns a 3.5 percent commission on a $240,000 home sale. How much commission does the agent earn?
Correct answer: $8,400
Commission is a percent of the sale price. Writing 3.5 percent as 0.035 and multiplying by 240,000 gives $8,400.
-
Question 5Not answered
A generator supplies power at 5 kilowatts. Expressed in watts, how much power is that?
Correct answer: 5,000 watts
A kilowatt is 1,000 watts, so multiply by 1,000. That gives 5 x 1,000 = 5,000 watts.
-
Question 6Not answered
A driver travels 2 hours at 40 miles per hour and then 3 hours at 60 miles per hour. What total distance is covered?
Correct answer: 260 miles
Work out each leg and add: 2 x 40 = 80 miles and 3 x 60 = 180 miles, giving 260 miles. Averaging the two speeds first would give 250, which is wrong because the legs are of different lengths.
-
Question 7Not answered
A machine fills 5 bottles a second. How many does it fill in a minute?
Correct answer: 300 bottles
There are 60 seconds in a minute, so 5 x 60 = 300 bottles.
-
Question 8Not answered
A circular tank has a radius of 7 feet. Using 22/7 for pi, what is the area of its base?
Correct answer: 154 square feet
The area of a circle is pi times the radius squared. The radius squared is 49, and 22/7 times 49 gives 154 square feet. Using 2 times pi times the radius instead would give the circumference, 44 feet.
-
Question 9Not answered
Two trains start 420 miles apart and travel toward each other, one at 70 miles per hour and the other at 60 miles per hour. How long until they meet?
Correct answer: 3.23 hours
When two objects close a gap toward each other, their speeds add. Together they close 70 + 60 = 130 miles every hour, so the 420 mile gap closes after 420 divided by 130, about 3.23 hours.
-
Question 10Not answered
A roll of cable measures 18 3/4 feet. After 6 1/2 feet is cut away, how much cable is left on the roll?
Correct answer: 12 1/4 feet
Subtract the whole numbers and the fractions separately. 18 minus 6 is 12, and 3/4 minus 1/2 is 1/4, so the cable left on the roll is 12 1/4 feet.
-
Question 11Not answered
A pipe is 12 1/2 feet long. After 4 3/4 feet is cut off, how much pipe is left?
Correct answer: 7 3/4 feet
Give both measurements the same denominator: 12 1/2 becomes 12 2/4. Since 2/4 is smaller than 3/4, borrow one whole foot to make 11 6/4, then subtract 4 3/4 to get 7 3/4 feet.
-
Question 12Not answered
A bottling line fills 720 bottles in a 6 hour shift. At that steady pace, how many bottles would it fill in an 8 hour shift?
Correct answer: 960 bottles
Find the hourly output first: 720 divided by 6 is 120 bottles per hour. Over an 8 hour shift that is 120 x 8 = 960 bottles.
-
Question 13Not answered
A driver logged these daily distances in miles: 210, 185, 240, 198, and 217. What is the mean distance driven?
Correct answer: 210 miles
The mean is the sum of the values divided by how many there are. The five distances add to 1,050, and 1,050 divided by 5 is 210 miles.
-
Question 14Not answered
An inspector needs an average defect rate under 5 across 6 inspected batches. The first five batches scored 4, 6, 3, 5, and 7. What is the highest score the sixth batch can have without the average reaching 5?
Correct answer: 4
The average must stay below 5, so the total across 6 batches must stay under 30. The first five batches sum to 25, leaving less than 5 for the sixth, meaning the highest whole score that keeps the average under 5 is 4.
-
Question 15Not answered
Two cyclists start at the same point and ride in opposite directions, one at 14 miles per hour and the other at 11 miles per hour. How far apart are they after 2.5 hours?
Correct answer: 62.5 miles
Riding in opposite directions, the distance between them grows at the sum of their speeds. Combined they separate at 14 + 11 = 25 miles per hour, and over 2.5 hours that is 25 x 2.5 = 62.5 miles.
-
Question 16Not answered
A unit of 320 recruits includes 45 percent who are assigned to logistics. How many recruits are in logistics?
Correct answer: 144 recruits
Change 45 percent to the decimal 0.45 and multiply by the group size. That gives 0.45 x 320 = 144 recruits.
-
Question 17Not answered
A shift of 336 workers is divided so that 3/7 of them work the night rotation. How many workers are on the night rotation?
Correct answer: 144 workers
One seventh of 336 is 48, so three sevenths is 3 x 48, which is 144 workers on the night rotation.
-
Question 18Not answered
A store marks a jacket down from $84 to $63. What is the discount rate?
Correct answer: 25 percent
The discount amount is 84 - 63 = 21 dollars. Dividing that by the original price, 21 divided by 84, gives 0.25, or a 25 percent discount.
-
Question 19Not answered
An account holding $1,500 earns 4 percent interest compounded annually. What is the balance after 2 years?
Correct answer: $1,622.40
Apply the growth twice, once per year. After year one the balance is 1,500 x 1.04 = $1,560, and after year two it is 1,560 x 1.04 = $1,622.40.
-
Question 20Not answered
A jacket priced at $65 is offered at 40 percent off. What is the sale price?
Correct answer: $39.00
Forty percent off leaves 60 percent to pay, so 0.60 x 65 = $39.00. The choice $26.00 is the discount itself rather than the price.
-
Question 21Not answered
A $2,400 purchase is repaid over 24 months with $360 of interest added. What is the monthly payment?
Correct answer: $115
The total owed is 2,400 + 360 = $2,760, and dividing by 24 months gives $115. Dividing only the purchase price gives $100 and leaves the interest unpaid.
-
Question 22Not answered
How long does it take to drive 165 miles at a steady 55 miles per hour?
Correct answer: 3 hours
Rearranging distance equals rate times time gives time equals distance divided by rate. Here 165 divided by 55 is 3 hours.
-
Question 23Not answered
A chef combines 2 1/3 cups of flour with 1 5/6 cups more. How many cups of flour does the mixture contain in total?
Correct answer: 4 1/6 cups
Give both fractions a denominator of 6: 2 1/3 becomes 2 2/6. Adding 2 2/6 and 1 5/6 gives 3 whole plus 7/6, and the extra sixth carries over to make 4 1/6 cups.
-
Question 24Not answered
One shuttle leaves a terminal every 12 minutes and another leaves every 18 minutes. If both leave together at 8:00, after how many minutes will they next leave together?
Correct answer: 36 minutes
The shuttles coincide at a common multiple of their intervals, and the first one is the least common multiple. The multiples of 12 are 12, 24, 36, and 36 is the first that 18 also divides, so they leave together again after 36 minutes.
-
Question 25Not answered
A crew works 6 days of 9 hours each and 2 days of 5 hours each. How many hours were worked in total?
Correct answer: 64 hours
Multiply within each block before adding: 6 x 9 = 54 and 2 x 5 = 10, so the total is 64 hours. Adding the days first and multiplying gives 112, the classic order-of-operations error.
-
Question 26Not answered
A restaurant bill of $58 is subject to a 7 percent sales tax. What is the total after tax?
Correct answer: $62.06
Add the tax to the original bill: the tax is 0.07 x 58 = $4.06, and the total is 58 + 4.06 = $62.06. The $4.06 option gives only the tax charged.
-
Question 27Not answered
An 8 person paint crew finishes a job in 5 days. At the same pace, how many days would a 4 person crew need for the same job?
Correct answer: 10 days
Fewer workers means more days, so this is inverse proportion. The job takes 8 x 5 = 40 worker-days total, and 40 divided by 4 workers gives 10 days.
-
Question 28Not answered
A shed roof panel measures 10 feet by 14 feet and needs 2 coats of sealant. If one coat covers the panel once, how many total square feet of coverage are needed for both coats?
Correct answer: 280 square feet
One coat covers the full panel, 10 x 14 = 140 square feet, and a second coat repeats that coverage, so two coats need 140 x 2 = 280 square feet total.
-
Question 29Not answered
A salesperson earns a 6 percent commission on sales. What is the commission on $12,500 in sales?
Correct answer: $750
Commission is a percent of the sales figure. Writing 6 percent as 0.06 and multiplying gives 0.06 x 12,500 = $750.
-
Question 30Not answered
A welder completes 5 joints in 2 hours. At the same pace, how many joints can be completed in a 9 hour shift?
Correct answer: 22.5 joints
Convert the rate to joints per hour, then scale it up. 5 joints in 2 hours is 2.5 joints per hour, and 2.5 x 9 gives 22.5 joints in a nine hour shift.
Your result
/ 30 correct
The ASVAB has no pass mark. Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension and Mathematics Knowledge make up your AFQT percentile.