ASVAB Study GuideArithmetic Reasoning Practice Test 10
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
Anna types 40 words per minute, and Ben types 50 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: B — 1,350
First, find the combined typing rate of Anna and Ben: $$40 + 50 = 90$$ words per minute. Then, multiply this rate by the total time they typed: 90 words/minute × 15 minutes = 1,350 words.
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Question 2 easy
If apples sell for $1.89 per pound, what would be the total expense for purchasing 12 pounds?
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Correct answer: A — $22.68
Multiply the price per pound by the number of pounds purchased: $1.89 × 12 = $22.68.
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Question 3 easy
Leo is making five wooden shelves, each requiring $$3 \frac{1}{2}$$ feet of wood. What is the total length of wood he will need for all the shelves?
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Correct answer: B — 17.5 feet
Convert the mixed number to a decimal: $$3 \frac{1}{2} = 3.5$$. Then, multiply the wood needed per shelf by the number of shelves: 3.5 feet × 5 shelves = 17.5 feet.
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Question 4 medium
What is the price of a $300 designer jacket after successive discounts of 20% and 10%?
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Correct answer: B — $216
First, apply the 20% discount: $300 × (1 - 0.20) = $240. Next, apply the 10% discount to the new price: $240 × (1 - 0.10) = $216. Note that successive discounts are calculated sequentially, not added together.
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Question 5 medium
David's scores in four math quizzes were 75, 80, 85, and 90. What was his mean score across these four quizzes?
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Correct answer: B — 82.5
To find the mean (average) score, add all the individual scores together and divide by the number of quizzes: $$\frac{(75 + 80 + 85 + 90)}{4} = \frac{330}{4} = 82.5$$
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Question 6 medium
If Alexander the Great was born in 356 BCE and died at the age of 32, in what year did his death occur?
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Correct answer: B — 324 BCE
In BCE (Before Common Era), years count backwards as time progresses forward. To find the year of death, subtract the age at death from the birth year: 356 BCE - 32 years = 324 BCE.
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Question 7 medium
Sarah made three financial trades. She lost $450 on the first, gained $900 on the second, and lost $250 on the third. What was her overall profit or loss from these three trades?
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Correct answer: B — $200 gain
Represent losses as negative numbers and gains as positive numbers: $$-450 + 900 - 250 = +200$$. This results in an overall gain of $200.
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Question 8 hard
Driving at an average speed of 65 miles per hour, what is the approximate time it will take Ryan to cover a distance of 380 miles?
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Correct answer: B — 5.8 hours
To find time, divide distance by speed: 380 miles / 65 mph ≈ 5.846 hours. Rounded to the nearest tenth, this is approximately 5.8 hours.
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Question 9 hard
Mark aimed to complete $$\frac{5}{6}$$ of his reading assignment. By evening, he had completed $$\frac{3}{4}$$ of the total book. How much of his book assignment remains to be completed?
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Correct answer: B — $$\frac{3}{12}$$
The entire book represents 1 whole. Since he completed $$\frac{3}{4}$$ of the book, the remaining part is $$1 - \frac{3}{4} = \frac{1}{4}$$. We look at the options to find an equivalent fraction: $$\frac{3}{12}$$ simplifies to $$\frac{1}{4}$$ (by dividing numerator and denominator by 3).
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Question 10 hard
What two numbers, when added together, equal 28, and when multiplied together, equal 187?
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Correct answer: A — 11, 17
Test the pairs: For option A, $$11 + 17 = 28$$ and $$11 \times 17 = 187$$. This satisfies both conditions perfectly.
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Question 11 hard
What is the value of 15% of 4?
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Correct answer: C — 0.6
To find the percentage of a number, convert the percentage to a decimal and multiply: $$15\% = 0.15$$. Then, $$0.15 \times 4 = 0.6$$