Full-Length ASVAB Math Practice Test-Answers and Explanations

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ASVAB Mathematical Reasoning Practice Test Answers and Explanations

1- Choice C is correct
Each worker can walk 2 dogs: \(8 ÷ 4 = 2\), 3 workers can walk 6 dogs. \(3 × 2 = 6\)

2- Choice A is correct
Change 6 hours to minutes, then: \(6 × 60 = 360\) minutes, \(\frac{360 }{90}= 4\)

3- Choice A is correct
The base rate is $20. The fee for the first 40 visits is: \(40×0.25=10 \)
The fee for the visits 41 to 60 is:\( 20×0.15=3\), Total charge: \(20 + 10 + 3 = 33\)

4- Choice C is correct
12 dozen of magazines are 144 magazines: \(12 × 12 = 144, 144 – 36 = 108\)

5- Choice C is correct
1 ton \(= 2,000\) pounds, 3ton \(= 6,000\) pounds, \(\frac{27,000}{6,000} = 4.5\)
William needs to make at least 5 trips to deliver all of the food.

6- Choice A is correct
average\(=\frac{sum}{total}=\frac{28+23+36}{3}=\frac{87}{3}=29\)

7- Choice B is correct
Find the value of each choice:
\(A. 2×2×5×7= 140 \)
\(B. 2×2×2×5×7= 280 \)
\(C. 2×7= 14 \)
\(D. 2×2×2×2×5×7= 560\)

8- Choice D is correct
Karen \(=\)Michelle \(+ 8\), Michelle \(=\)David \(– 5\), Karen \(+\) Michelle \(+\) David \(=88\)
Michelle \(=\)David \(– 5 ⇒\) David \(=\)Michelle\( + 5\), Karen \(+\) Michelle \(+\) David \(=88\)
Now, replace the ages of Karen and David by Michelle. Then:
Michelle \(+ 8 +\) Michelle \(+\) Michelle \(+ 5 =88\), 3Michelle \(+ 13 =88\) ⇒ 3Michelle \(=88 – 13 \)
3Michelle \(=75\), Michelle \(= 25\)

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9- Choice A is correct
Area of a rectangle \(=\) width \(×\) length \(= 25 × 50 = 1,250\)

10- Choice C is correct
The amount they have \(= $11.25 + $13.50 + $16.45 = 41.20\)

11- Choice D is correct
distance\(=\)speed \(×\)time \(⇒\)time\(=\frac{distanc}{speed}=\frac{400}{40}=10 \)
(Round trip means that the distance is 400 miles)
The round trip takes 10 hours. Change hours to minutes, then: \(10×60=600\)

12- Choice B is correct
\(200 – 50 – 55 = 95\)

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13- Choice C is correct
average\(=\frac{sum}{total}\)
Sum \(= 5 + 8 + 13 + 18 + 22 + 25 + 28 + 25 = 144\)
Total number of numbers \(= 8\)
average\(=\frac{144}{8} = 18\)

14- Choice B is correct
Since Julie gives 6 pieces of candy to each of her friends, then, the number of pieces of candies must be divisible by \(6. 190 ÷ 6 = 31.67, 240 ÷ 6 = 40, 260 ÷ 6 = 43.33, 275 ÷ 6 = 45.83\), Only choice b gives a whole number.

15- Choice A is correct
probability\(=\frac{desird outcomes}{possible outcomes}=\frac{3}{4+3+7+10}=\frac{3}{24}=\frac{1}{8}\)

16- Choice B is correct
\(30 ÷ 2 = 15\) hours for one course, \(15 × 22 = 330⇒ $330\)

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