ASVAB Study GuideArithmetic Reasoning Practice Test 12
Tap an answer to check it instantly and read the explanation. 11 questions: 3 easy, 4 medium and 4 hard.
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Question 1 easy
Alice can type 45 words per minute, and Bob can type 35 words per minute. If they both type for 15 minutes, what is the total number of words they type together?
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Correct answer: C — 1,200
Find their combined typing rate per minute: $$45 + 35 = 80$$ words per minute. Over 15 minutes, they will type: $$80 \times 15 = 1{,}200$$ words.
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Question 2 easy
How far will a cyclist travel if they ride for 4 hours at a constant speed of 12 miles per hour?
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Correct answer: B — 48 miles
Use the distance formula: Distance = Speed × Time. Here, Distance = 12 miles/hour × 4 hours = 48 miles.
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Question 3 easy
A rescue team needs to search along a path measuring 5.3 grid segments on a map. If each grid segment represents 1,000 yards, what is the total distance in yards that the team will search?
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Correct answer: D — 5,300 yards
Multiply the number of grid segments by the distance each segment represents: $$5.3 \times 1{,}000 = 5{,}300$$ yards.
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Question 4 medium
A collector bought a rare coin for $80. Its value decreased by 20% in the first year and then increased by 20% in the second year. What is the current value of the coin?
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Correct answer: B — $76.80
First-year decrease of 20% leaves 80% of the value: $80 × 0.80 = $64.00. Second-year increase of 20% on the new value: $64.00 × 1.20 = $76.80.
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Question 5 medium
David can assemble a wooden shed in 48 hours working alone. If he works with his two brothers, and each of them works 8 hours per day at the same pace as David, how many days will it take the three of them to complete the shed?
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Correct answer: A — 2
The total work required is 48 man-hours. The team consists of 3 people (David + 2 brothers) working 8 hours per day, which equals $$3 \times 8 = 24$$ man-hours of work completed per day. The total days required: 48 hours / 24 hours per day = 2 days.
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Question 6 medium
Last week, Evelyn worked for 25 hours and earned $425. This week, she earned $578. Assuming her hourly wage remained the same, how many hours did Evelyn work this week?
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Correct answer: B — 34
First, find Evelyn's hourly wage: $$\frac{425}{25} = 17.00$$ per hour. Then, divide this week's earnings by her hourly wage to find the hours worked: $$\frac{578}{17.00} = 34$$ hours.
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Question 7 medium
A water tank has a capacity of 350 gallons. Water is being pumped into the tank at a rate of 15 gallons per minute, while simultaneously draining out of a valve at a rate of 5 gallons per minute. How much time will it take for the tank to become full?
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Correct answer: A — 35 minutes
Find the net rate of water entering the tank by subtracting the drainage rate from the pumping rate: $$15 - 5 = 10$$ gallons per minute. To find the time to fill the tank, divide its total capacity by this net rate: 350 gallons / 10 gallons per minute = 35 minutes.
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Question 8 hard
For the month of August, Jordan received a water bill of $85.40. The billing structure includes a fixed monthly service charge of $15.00, in addition to a charge of $0.08 for each gallon of water consumed. Approximately how many gallons of water did Jordan use during August?
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Correct answer: C — 880 gallons
First, subtract the fixed monthly charge from the total bill to find the variable consumption charge: $85.40 - $15.00 = $70.40. Then, divide the variable charge by the rate per gallon to find the number of gallons consumed: $$\frac{70.40}{0.08} = 880$$ gallons.
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Question 9 hard
On a winter morning at 7:00 a.m., the temperature was -5°C. For the next five hours, the temperature increased by 3°C each hour. After that, it started to decrease at a rate of 2°C per hour. What was the temperature at 6:00 p.m. that day?
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Correct answer: B — -2°C
1. At 7:00 a.m., temp = -5°C.
2. Over the next 5 hours (until 12:00 p.m.), the temperature increased by: 5 hours × 3°C/hour = 15°C. Temperature at 12:00 p.m. = $$-5^\circ\text{C} + 15^\circ\text{C} = 10^\circ\text{C}$$.
3. From 12:00 p.m. to 6:00 p.m. (6 hours), the temperature decreased by: 6 hours × 2°C/hour = 12°C. Temperature at 6:00 p.m. $$= 10^\circ\text{C} - 12^\circ\text{C} = -2^\circ\text{C}$$
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Question 10 hard
The first term of an arithmetic sequence is 150, and the common difference is -8. What is the 15th term?
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Correct answer: A — 38
The formula for the nth term of an arithmetic sequence is: $$a_n = a_1 + (n - 1) \times d$$. For the 15th term: $$a_{15} = 150 + (15 - 1) \times (-8) = 150 + 14 \times (-8) = 150 - 112 = 38$$
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Question 11 hard
A shipping company charges a 6% handling fee on the total value of an order's items. What is the handling fee for a $650 laptop, a $1,250 television, and a $100 soundbar purchased together and shipped to the same address?
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Correct answer: C — 120
First, calculate the total value of the items ordered: $650 + $1,250 + $100 = $2,000. Next, calculate the 6% handling fee on this total: $2,000 × 0.06 = $120.