ASVAB Study GuideArithmetic Reasoning Practice Test 9
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
120 is 30% of which number?
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Correct answer: B — 400
To find the number, divide 120 by 30% (or 0.30): $$\frac{120}{0.30} = 400$$
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Question 2 easy
Out of 1,800 students in a school, 15% are in the band. How many students are not in the band?
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Correct answer: B — 1,530
First, find the number of students in the band: 15% of 1,800 $$= 0.15 \times 1{,}800 = 270$$. Then, subtract this from the total: $$1{,}800 - 270 = 1{,}530$$ students.
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Question 3 easy
David's dinner bill is $45.00. If he adds a 15% tip, what will be his total payment?
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Correct answer: A — $51.75
First, calculate the tip: 15% of $45.00 = 0.15 × $45 = $6.75. Then, add the tip to the original bill: $45.00 + $6.75 = $51.75.
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Question 4 medium
At a workshop of 80 participants, 25 are software engineers. What is the approximate percentage of software engineers present?
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Correct answer: C — 31%
To find the percentage, divide the number of software engineers by the total number of participants: $$\frac{25}{80} = 0.3125$$. Converting to percentage gives 31.25%, which is approximately 31%.
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Question 5 medium
The price of a motorcycle is $12,478. What is this amount rounded to the nearest hundred dollars?
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Correct answer: C — $12,500
To round $12,478 to the nearest hundred, look at the tens digit (7). Since 7 is 5 or greater, round up the hundreds digit (4) to 5. Thus, the rounded value is $12,500.
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Question 6 medium
A bicycle, normally priced at $500, is on sale with a 20% discount. After the discount is applied, an 8% sales tax is added. What is the total amount needed to purchase the bicycle?
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Correct answer: B — $432
First, find the sale price after the 20% discount: $500 × (1 - 0.20) = $400. Next, calculate the 8% sales tax on the sale price: $400 × 0.08 = $32. Add the tax to the sale price for the total: $400 + $32 = $432.
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Question 7 medium
In an email marketing campaign where 15,000 emails were sent, there were 3,000 opens. What percentage of the emails resulted in an open?
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Correct answer: B — 20%
To find the percentage of emails opened, divide the number of opens by the total number of emails sent and multiply by 100: $$(\frac{3{,}000}{15{,}000}) \times 100 = 0.2 \times 100 = 20\%$$
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Question 8 hard
Robert completed two cycling trials with times of 148 minutes and 162 minutes. Clara, a beginner cyclist, completed two trials in 185 and 205 minutes. Calculate Robert's average trial time.
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Correct answer: A — 155 minutes
To calculate Robert's average trial time, sum his two scores and divide by 2: $$\frac{(148 + 162)}{2} = \frac{310}{2} = 155$$ minutes. Clara's times are distractors and are not used in the calculation.
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Question 9 hard
Three consecutive integers add up to 144. What is the smallest of these three integers?
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Correct answer: B — 47
Let the three consecutive integers be x, $$x+1$$, and $$x+2$$. Their sum is $$x + (x+1) + (x+2) = 3x + 3$$. We set this equal to 144: $$3x + 3 = 144 \Rightarrow 3x = 141 \Rightarrow x = 47$$. The smallest integer is 47.
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Question 10 hard
When 582.4 is subtracted from a certain number, the result is 1,415.8. What is the original number?
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Correct answer: B — 1,998.20
Let the original number be x. The problem states: $$x - 582.4 = 1{,}415.8$$. To find x, add 582.4 to 1,415.8: $$x = 1{,}415.8 + 582.4 = 1{,}998.2$$
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Question 11 hard
An industrial machine loses $3,200 in value each year due to depreciation. If the machine was initially valued at $45,000, what will its value be after eight years?
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Correct answer: B — $19,400
First, calculate the total depreciation over eight years: $3,200 × 8 = $25,600. Subtract this from the initial value to find the remaining value: $45,000 - $25,600 = $19,400.