ASVAB ARITHMETIC REASONING PRACTICE QUESTIONS

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ASVAB (ARITHMETIC REASONING PRACTICE QUESTIONS)

EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -30 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: (c) 2 x 2 x 5 x 7

To find the prime factorization of a number, find one prime that will go into the number (here 2 is a good place to start). Express the number as that prime multiplied by some other number.140 = 2 x 70 Then keep breaking down the larger factor until you are left with only prime numbers.140 = 2 x 2 x 35 140 = 2 x 2 x 5 x 7

Answer:

What is the prime factorization of 140?(a) 2 x 70 (b) 2 x 3 x 5 x 7 (c) 2 x 2 x 5 x 7 (d) 2 x 2 x 2 x 5 x 7

Question 2: (a) 6 2/3%

You're asked what percent of the new solution is alcohol. The (part) is the number of ounces of alcohol; the (whole) is the total number of ounces of the new solution. There were 25 ounces originally. Then 50 ounces were added, so there are 75 ounces of new solution. How many ounces are alcohol? 20% of the original 25-ounces solution was alcohol. 20% is 1/5, so 1/5 of 25, or 5 ounces are alcohol. Now you can find the percent of alcohol in the new solution: % alcohol = alcohol/total solution x 100% = 5/75 x 100%

= 20/3% = 6 2/3%

Answer:

A 25 ounce solution is 20% alcohol. If 50 ounces of water are added to it, what percent of the new solution is alcohol?(a) 6 2/3 % (b) 7 1/2 % (c) 10% (d) 13 1/3%

Question 3: (d) $4.00

This question where Backsolving (plugging in an answer choice to see if it's correct) can save you a lot of time. Let's start with choice (b) and see if it works. If (b) is correct, an adult's ticket would cost $3.00, and a child's ticket would cost $1.50. The total fare you're asked for is for two adults and three children. If an adult's fare was $3.00, that total fare would be 2($3.00) + 3($1.50) = $6.00 + $4.50 = $10.50. That's too low since the question states that the total fare is $14.00.Now see what happens if an adult fare was more expensive. If (d) was correct, an adult's ticket would cost $4.00 and a child's ticket would cost $2.00. The total fare would equal

2($4.00) + 3($2.00) = $8.00 + $6.00 = $14.00.

That's the total fare you're looking for, so (d) is correct.

Answer:

The total fare for two adults and three children on an excursion boat is $14. If each child's fare is one half of each adult's fare, what is the adult fare?(a) $2.00 (b) $3.00 (c) $3.50 (d) $4.00

Question 4: (c) $25.00

If Ms. Smith's car average 35 miles per gallon, she can go 35 miles on 1 gallon. To go 700 miles she will need 700/35, or 20 gallons of gasoline. The price of gasoline was $1.25 per gallon, so she spent 20 x $1.25, or $25, for her trip.

Answer:

Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35 miles per gallon of gasoline and gasoline cost $1.25 per gallon, what was the cost in dollars of the gasoline for the trip?(a) $20.00 (b) $ 24.00 (c) $ 25.00 (d) $40.00

Question 5: (b) 25

Subtracting a negative number is the same as addition, so 20 - (-5) is really 20 + 5 = 25.

Answer:

20 - (-5) = __.

(a) -25 (b) 25 (c) 15 (d) -15

Question 6: (d) 13 to 21

The question asks which of five ratios is equivalent to the ratio of 3 1/4 to 5 1/4. Since the ratios in the answer choices are expressed in whole numbers, turn this ratio into whole numbers. Start

by turning the ratio into improper fractions:

3 1/4 : 2 1/4

= 13/4: 21/4

Multiply both sides of the ratio by 4.

= 13:21

Answer:

The ratio of 3 1/4 t0 5 1/4 is equivalent to the ratio of __.(a) 3 to 5 (b) 4 to 7 (c) 8 to 13 (d) 13 to 21

Question 7: (b) 2 1/3

In this question, the ratio is implied: for every 3/4 inch of map there is 1 real mile, so the ratio of inches to the miles they represent is always 3/4 to

1. Therefore, you can set up the proportion:

number of inches/ number of miles = 3/4 / 1 = 3/4 Now 1 3/4 inches = 7/4 inches.

Set up a proportion:

7/4 inches 7/4 inches / number of miles = 3/4

Cross-multiply:

7/4(4) = 3 (number of miles) 7= 3(number of miles) 7/3 = number of miles or 2 1/3 = number of miles

Answer:

On a certain map, 3/4 inch represents one mile. What distance, in miles, is presented by 1 3/4 inches?(a) 1 1/2 (b) 2 1/3

(c) 2 1/2 (d) 5 1/4

Question 8: (c) $720

You can save valuable time by estimating on this one. Pay special attention to how much you have left and how much you've already spent. If a man spent 5/12 of his salary and was left with $420, that means that he had 7/12 left, and if the man's salary is (x) dollars, then 7/12(x) = $420 That means that $420 is a little more than half of his salary. So his salary would be little less than 2($420) = $840. Choice (c), $720 is a little less than $840. So (c) works perfectly, and it's the correct answer here.

Answer:

After spending 5/12 of his salary, a man has $420 left. What is his salary?(a) $175 (b) $245 (c) $720 (d) $1,008

Question 9: (c) $128

This question asks you to determine the sale price of a camera that normally sells at $160 and is discounted 20%. To solve, determine what 20% of $160 equals. Rewrite 20% as a decimal.20% = 0.20. So 20% of $160 = 0.20 x $160 = $32.The sale price of the camera would be $160 - $32 = $128, choice (c)

Answer:

John bought a camera on sale that normally costs $160. If the price was reduced 20% during the sale, what was the sale price of the camera?(a) $120 (b) $124 (c) $128 (d) $140

Question 10: (c) 14

This is a combined work problem. Joan can shovel the whole driveway in 50 minutes, so each minute she does 1/50 of the driveway. Mary can shovel the whole driveway in 20 minutes: each

minute she does 1/20 of the driveway. In one minute they do:

1/50 + 1/20 + = 2/100 + 5/100 = 7/100

If they do 7/100 of the driveway in one minute, they do the entire driveway in 100/7 minutes. (If you do 1/2 of a job in 1 minute, you do the whole job in the reciprocal of 1/2, or 2 minutes.) So all that remains is to round 100/7 off to the nearest integer. Since 100/7= 14 2/7, 100/7 is approximately 14. It takes about 14 minutes for both of them to shovel the driveway.

Answer:

Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the driveway if they work together?