Test Prep ASVAB Section 2: Arithmetic Reasoning Exam (page: 1)
Test Prep ASVAB Section two : Arithmetic Reasoning
Updated on: 13-Dec-2025

If a car is towed 12 miles to the repair shop, and the tow charge is $3.50 per mile, how much did the tow cost?

  1. $12.00
  2. $3.50
  3. $42.00
  4. $100.00

Answer(s): C

Explanation:

Multiply 12 miles by $3.50 per mile to get $42.00.



The sum of two numbers is 70. One number is 8 more than the other. What’s the smaller number?

  1. 31
  2. 33
  3. 35
  4. 36

Answer(s): A

Explanation:

Let x = the smaller number and x + 8 equal the larger number. Because the sum of the two numbers equals 70, you can express this mathematically as x + (x + 8) = 70. Now all you have to do is solve for x. Combine the like terms: 2x + 8 = 70. Then subtract 8 from both sides of the equation: 2x + 8 – 8 = 70 – 8, or 2x = 62. Divide both sides of the equation by two, and you find that x is equal to 31.



A sales manager buys antacid in bottles by the gross.
If he goes through 3 bottles of antacid every day, how long will the gross last?

  1. 144 days
  2. 3 days
  3. 20 days
  4. 48 days

Answer(s): D

Explanation:

144 bottles are in a gross. 144 ÷ 3 (bottles per day) = 48 days.



Jenny’s test grades are 93, 89, 96, and 98.
If she wishes to raise her average to 95, what does she need to score on her next test?

  1. 100
  2. 99
  3. 97
  4. 95

Answer(s): B

Explanation:

To determine Jenny’s average, add the test scores and divide the sum by the number of tests taken. You want to know what she would need to make on the next test in order to achieve an average of 95. The formula can be set up as (93 + 89 + 96 + 98 + x) ÷ 5 = 95.
Combining the like terms results in (376 + x) ÷ 5 = 95. Multiplying both sides by 5 results in 376 + x = 475. So, x = 99.



A waitress earns an average tip of 12% of the cost of the food she serves.
If she serves $375 worth of food in one evening, how much money in tips will she earn on average?

  1. $37
  2. $45
  3. $42
  4. $420

Answer(s): B

Explanation:

Multiply the total amount spent on drinks, $375, by 12% to determine the amount of tips. $375 × 0.12 = $45.



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