ASVAB Study GuideArithmetic Reasoning Practice Test 13
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
Marcus's car has a fuel tank capacity of 16 gallons. He fills it up at a gas station charging $3.25 per gallon. If he already has 4 gallons in the tank, how much does he spend to fill the tank completely?
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Correct answer: A — $39.00
First, calculate the number of gallons needed to fill the tank: $$16 - 4 = 12$$ gallons. Then, multiply this by the cost per gallon to find the total spend: 12 gallons × $3.25/gallon = $39.00.
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Question 2 easy
A local baker sells 80 loaves of bread a day at $4.50 each. If she lowers the price to $3.75, she can sell 120 loaves of bread a day. How much additional revenue does she earn per day by offering the discounted price?
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Correct answer: B — $90.00
Calculate original daily revenue: $$80\text{ loaves} \times 4.50 = 360.00$$. Calculate new revenue: $$120\text{ loaves} \times 3.75 = 450.00$$. Find the difference to get additional revenue: $450.00 - $360.00 = $90.00.
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Question 3 easy
Sarah emptied her coin jar to buy a book that costs $8.45. She has 24 quarters, 18 dimes, 15 nickels, and 35 pennies. How much money does Sarah have left after buying the book?
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Correct answer: C — $0.45
Calculate total coin value:
- Quarters: 24 × $0.25 = $6.00
- Dimes: 18 × $0.10 = $1.80
- Nickels: 15 × $0.05 = $0.75
- Pennies: 35 × $0.01 = $0.35
Total money = $6.00 + $1.80 + $0.75 + $0.35 = $8.90. Money left over = $8.90 - $8.45 = $0.45.
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Question 4 medium
Diana invested $1,200 at $$6 \frac{1}{4}$$ % simple interest. What will her investment be worth after 4 years?
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Correct answer: A — $1,500.00
Convert interest rate to decimal: $$6 \frac{1}{4}$$ % $$= 6.25\% = 0.0625$$. Calculate simple interest earned using $$I = P \times r \times t$$: $$1{,}200 \times 0.0625 \times 4 = 300.00$$. The total value of the investment is the principal plus interest: $1,200 + $300 = $1,500.00.
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Question 5 medium
Leo needs a 90% average in science to pass with honors. He scored 94, 82, and 88 on his first three exams. If the final project is worth $$\frac{1}{3}$$ of his grade, what score does he need to earn on it to get exactly a 90% average?
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Correct answer: B — 94
Find the average score of the first three exams (which represent $$\frac{2}{3}$$ of the total grade): $$\frac{(94 + 82 + 88)}{3} = \frac{264}{3} = 88$$. Setup weighted average equation: $$(\frac{2}{3}) \times 88 + (\frac{1}{3}) \times X = 90$$. Simplify: $$\frac{176}{3} + \frac{X}{3} = 90$$-> $$176 + X = 270$$-> $$X = 94$$. Thus, Leo needs a 94 on his final project.
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Question 6 medium
Elena has two purchase options for a $4,500 laptop system. The first option is paying the full amount in cash upfront. The second option requires a $600 down payment followed by 18 monthly installments of $240 each. How much extra would she pay if she chooses the installment payment option?
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Correct answer: A — $420
Calculate the total cost under the installment plan: $600 (down payment) + 18 payments × $240/month = $600 + $4,320 = $4,920.
Subtract the upfront cash price to find the extra amount paid: $4,920 - $4,500 = $420.
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Question 7 medium
A hiking guide led a group of 14 scouts on a trail where each scout had to carry a water pack weighing 18 pounds. If all the scouts successfully carried their packs, what was the total weight in pounds carried by the scouts?
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Correct answer: B — 252 pounds
To find the total weight carried, multiply the number of scouts by the weight each individual carries:
14 scouts × 18 pounds/scout = 252 pounds.
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Question 8 hard
It takes a worker 40 seconds to assemble a burger and 12 seconds to wrap it. What is the maximum number of burgers that can be assembled and wrapped in 7 minutes?
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Correct answer: C — 8
1. Find the total time needed to assemble and wrap one burger: 40 seconds + 12 seconds = 52 seconds.
2. Convert 7 minutes into seconds: 7 minutes × 60 seconds/minute = 420 seconds.
3. Divide total time by time per burger: $$\frac{420}{52} = 8.076$$.
Since she can only complete full burgers, the maximum number is 8.
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Question 9 hard
A delivery truck achieves 12 miles per gallon of fuel in urban areas and 18 miles per gallon on open highways. For a 210-mile delivery run, where 36 miles are driven on open highways, what is the total fuel in gallons consumed?
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Correct answer: A — 16.5
1. Calculate highway fuel consumption: 36 miles / 18 mpg = 2 gallons.
2. Find the remaining urban distance: 210 miles total - 36 highway miles = 174 urban miles.
3. Calculate urban fuel consumption: 174 miles / 12 mpg = 14.5 gallons.
4. Add both totals: $$2 + 14.5 = 16.5$$ gallons.
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Question 10 hard
It takes 3 painters 4 hours to paint 6 rooms. How many hours will it take 5 painters to paint 15 rooms, assuming they work at the same constant rate?
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Correct answer: B — 6
1. Find the total painter-hours needed for one room:
(3 painters × 4 hours) / 6 rooms = 12 painter-hours / 6 rooms = 2 painter-hours per room.
2. Find the total painter-hours needed for 15 rooms:
15 rooms × 2 painter-hours/room = 30 painter-hours.
3. Divide by the number of available painters to find the time:
30 painter-hours / 5 painters = 6 hours.
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Question 11 hard
Marcus and his colleague have lunch at a café where an 18% gratuity is automatically added to the final bill. Marcus's individual bill is $65 and his colleague's is $85. What is the total gratuity amount added by the café?
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Correct answer: A — $27.00
1. Calculate the total combined bill before gratuity: $65 + $85 = $150.
2. Multiply the combined total by the gratuity rate (18% or 0.18):
$150 × 0.18 = $27.00.