Arithmetic Reasoning · Practice test 6
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
Which decimal is equal to 7/8?
Correct answer: 0.875
Divide the top by the bottom: 7 divided by 8 is 0.875. The last choice divides the wrong way round.
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Question 2Not answered
A fruit punch mix combines juice and soda in a ratio of 3 to 4. How much soda is needed for 3.5 gallons of juice?
Correct answer: About 4.67 gallons
The ratio of juice to soda is fixed at 3 to 4, so soda equals juice multiplied by 4/3. That gives 3.5 x 4/3, which is about 4.67 gallons.
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Question 3Not answered
An elevator is rated to carry 8 people per trip. What is the smallest number of trips needed to move 59 people to the top floor?
Correct answer: 8 trips
Dividing 59 by 8 gives 7 with 3 people remaining. Since those 3 still need to ride, an eighth trip is necessary even though it will not be full.
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Question 4Not answered
A shop sells 3 items at $4 each and 2 items at $9 each. What is the average price per item sold?
Correct answer: $6.00
Total takings are 12 + 18 = $30 across 5 items, so the average is $6.00. Averaging the two prices to get $6.50 ignores that more of the cheaper item was sold.
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Question 5Not answered
How many 3/4 cup servings can be poured from 6 cups?
Correct answer: 8 servings
Dividing by a fraction means multiplying by its reciprocal, so 6 divided by 3/4 is 6 x 4/3 = 8. Multiplying instead of dividing gives 4.5, which is why dividing by a fraction below one always yields more than you started with.
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Question 6Not answered
A delivery van uses 8 gallons of fuel to travel 176 miles. What is its fuel economy?
Correct answer: 22 miles per gallon
Fuel economy is miles travelled divided by gallons used, so 176 divided by 8 gives 22 miles per gallon.
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Question 7Not answered
A 20 ounce sports drink costs $1.60 and a 32 ounce bottle costs $2.24. Which size is the better value per ounce, and by how much?
Correct answer: 1 cent per ounce less for the 32 ounce bottle
Reduce each bottle to a price per ounce. The small bottle costs 1.60 divided by 20, or 8 cents per ounce, and the large bottle costs 2.24 divided by 32, or 7 cents per ounce, so the large bottle is cheaper by 1 cent per ounce.
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Question 8Not answered
Two vehicles start 300 miles apart and drive toward each other, one at 55 miles per hour and the other at 45 miles per hour. How long until they meet?
Correct answer: 3 hours
When two objects move toward each other the gap closes at the sum of their speeds. They close 55 + 45 = 100 miles every hour, so the 300 mile gap disappears after 300 divided by 100, or 3 hours.
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Question 9Not answered
A courier drives 240 miles and burns 15 gallons of fuel doing it. At that same rate, how many gallons would a 400 mile trip use?
Correct answer: 25 gallons
The truck covers 240 divided by 15, or 16 miles per gallon. A 400 mile trip would then need 400 divided by 16, which is 25 gallons.
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Question 10Not answered
A driver covers 60 miles at 30 miles per hour, then another 60 miles at 60 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. The legs take 2 hours and 1 hour, so 120 miles in 3 hours gives 40 miles per hour. Averaging 30 and 60 to get 45 ignores that twice as long was spent at the slower speed.
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Question 11Not answered
A loan of $5,000 is borrowed at 6 percent simple annual interest for 18 months. How much interest is owed?
Correct answer: $450
Convert 18 months to 1.5 years before applying the formula. Interest equals principal times rate times time: 5,000 x 0.06 x 1.5 gives $450.
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Question 12Not answered
A retailer buys a lamp for $40 and marks it up 45 percent to set the selling price. What is the selling price?
Correct answer: $58.00
A markup adds a percent of the cost on top of the cost. The markup is 0.45 x 40 = $18, so the selling price is 40 + 18 = $58.00.
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Question 13Not answered
A shop receives 3 boxes holding 24 items each and 4 boxes holding 18 items each. How many items were received?
Correct answer: 144 items
Handle each box size separately before adding: 3 x 24 = 72 and 4 x 18 = 72, giving 144 items in total.
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Question 14Not answered
A loan of $3,000 is taken at 6 percent simple interest for 3 years. What total amount is repaid?
Correct answer: $3,540
The interest is 3,000 x 0.06 x 3 = $540, and the question asks for the total repaid, so add the principal to get $3,540. Answering $540 gives the interest alone.
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Question 15Not answered
How many ounces are there in 3 3/4 pounds?
Correct answer: 60 ounces
A pound is 16 ounces, so three pounds is 48 and the extra three quarters adds 12, giving 60 ounces.
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Question 16Not answered
A household earns $3,200 a month. Rent takes one quarter of that, food costs $480, and other expenses come to $650. How much is left?
Correct answer: $1,270
Convert the fraction to a dollar figure before subtracting. Rent is one quarter of 3,200, or $800, and the three expenses total 800 + 480 + 650 = $1,930, leaving 3,200 - 1,930 = $1,270.
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Question 17Not answered
Worker X can assemble a shed alone in 12 hours, and worker Y can assemble it alone in 6 hours. Working together, how long will it take them?
Correct answer: 4 hours
Combine the two rates: X completes 1/12 of the shed per hour and Y completes 1/6, or 2/12, so together they finish 3/12, which is 1/4 of the shed per hour. That means the job takes 4 hours.
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Question 18Not answered
A stadium has 42 rows of 26 seats each. About how many seats does the stadium hold?
Correct answer: About 1,100 seats
Round both figures to numbers that multiply easily: 42 rounds to 40 and 26 rounds to 25, and 40 x 25 = 1,000. The exact count, 42 x 26 = 1,092, is closest to 1,100.
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Question 19Not answered
A recipe that serves 4 people calls for 6 ounces of rice. How much rice is needed to serve 10 people?
Correct answer: 15 ounces
Find the amount for one serving, then scale up. Six ounces for 4 people is 1.5 ounces per person, and 1.5 x 10 = 15 ounces for 10 people.
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Question 20Not answered
A $2,400 purchase is repaid in 12 equal monthly installments, with $288 of interest added over the term. What is each monthly payment?
Correct answer: $224
The buyer repays the price plus the interest, totaling 2,400 + 288 = $2,688. Spread over 12 months that is 2,688 divided by 12, or $224 each month.
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Question 21Not answered
A container holds 7 pints of liquid. How many fluid ounces is that?
Correct answer: 112 fluid ounces
There are 16 fluid ounces in a pint, so multiply by 16. That gives 7 x 16 = 112 fluid ounces.
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Question 22Not answered
A shop logged these repair counts over six days: 12, 15, 15, 18, 22, and 27. What is the median number of repairs?
Correct answer: 16.5
The median is the middle value of an ordered list. With six values there is no single middle one, so average the third and fourth: 15 and 18 give (15 + 18) divided by 2, or 16.5. The mode is 15 and the mean is 18.2, which is why both appear as choices.
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Question 23Not answered
How many seconds are there in 2 1/4 minutes?
Correct answer: 135 seconds
Two minutes is 120 seconds and a quarter minute adds 15, giving 135 seconds.
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Question 24Not answered
A concrete mix uses 2 parts cement to 5 parts sand. How much cement is needed to make 63 cubic feet of mix?
Correct answer: 18 cubic feet
The mix divides into 2 + 5 = 7 parts, and cement is 2 of them. One part is 63 divided by 7, or 9 cubic feet, so the cement comes to 2 x 9 = 18 cubic feet. Using 2/5 instead of 2/7 is the common error.
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Question 25Not answered
A $200 item is discounted 10 percent, and a further 10 percent is taken off the reduced price. What is the final price?
Correct answer: $162.00
The first cut leaves $180, and the second takes 10 percent of 180, which is $18, leaving $162. Two successive 10 percent cuts are not the same as one cut of 20 percent, which would give $160.
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Question 26Not answered
A convoy travels at a steady 45 miles per hour for 4 hours. How far does it travel?
Correct answer: 180 miles
Distance equals rate multiplied by time. Travelling 45 miles each hour for 4 hours covers 45 x 4 = 180 miles.
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Question 27Not answered
A box holds 5 red markers, 3 blue markers, and 4 green markers. If one marker is drawn at random, what is the probability that it is red?
Correct answer: 5/12
Probability is the favourable count over the total count. There are 5 red markers out of 5 + 3 + 4 = 12 markers altogether, so the probability is 5/12. Writing 5/7 compares red to non-red instead of to the whole box.
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Question 28Not answered
A supply depot starts the day with 640 filters, ships out 215, then receives a delivery of 90. How many filters are on hand at the end of the day?
Correct answer: 515 filters
Work through the events in order. Shipping out 215 leaves 640 - 215 = 425 filters, and the delivery of 90 brings the total up to 425 + 90 = 515 filters.
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Question 29Not answered
How many seconds are there in 2 3/4 minutes?
Correct answer: 165 seconds
A minute is 60 seconds, so multiply. 2 3/4 minutes times 60 gives 2.75 x 60 = 165 seconds.
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Question 30Not answered
A component's mass is listed as 2.3 kilograms. About how many pounds is that, using 1 kilogram equals about 2.2 pounds?
Correct answer: About 5.06 pounds
Multiply the kilogram figure by the conversion factor. 2.3 x 2.2 gives about 5.06 pounds.
Your result
/ 30 correct
The ASVAB has no pass mark. Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension and Mathematics Knowledge make up your AFQT percentile.