Test Prep ASVAB Test Exam Dumps & Practice Test Questions

Question 1:

A vehicle was towed a total of 12 miles, and the towing company charges $3.50 for each mile.What is the total cost of this towing service?

A. $12.00
B. $3.50
C. $42.00
D. $100.00

Correct Answer: C

Explanation:

This problem is a classic example of a unit rate multiplication scenario, where the total cost is calculated based on a fixed cost per unit (in this case, per mile). To determine the total fee for the tow, we need to multiply the distance towed by the rate charged per mile.

The formula we use is:
Total Cost = Number of Miles × Cost per Mile

Here, the number of miles is 12 and the rate is $3.50 per mile:
Total Cost = 12 × 3.50 = $42.00

This is a straightforward multiplication problem that helps develop a foundational understanding of rate-based pricing. Such skills are widely applicable in real life, whether calculating the cost of travel, delivery fees, or even budgeting time or labor expenses based on hourly or per-unit rates.

Let’s look at the incorrect choices and why they don’t work:

• A. $12.00: This would be the result if the rate were $1.00 per mile, which is not the case here. The correct rate is $3.50 per mile, so this option severely underestimates the cost.

• B. $3.50: This is only the cost of towing for one mile, not the full 12 miles. Using this number without multiplication leads to an incomplete calculation.

• D. $100.00: This figure greatly exaggerates the actual cost. For $100 to be correct, the per-mile charge would need to be over $8, which is much higher than the given rate.

This exercise reinforces how important it is to interpret the units provided in a problem and apply arithmetic correctly. By understanding the rate per mile and applying it across the given quantity, we arrive at an accurate total. Such problems build confidence in solving cost-based word problems and are directly applicable to budgeting and everyday decision-making.

Therefore, the correct answer is C. $42.00.

Question 2:

Two numbers add up to 70, and one of them is 8 greater than the other.What is the value of the smaller number?

A. 31
B. 33
C. 35
D. 36

Correct Answer: A

Explanation:

This is a classic algebraic word problem involving the sum of two numbers and a defined relationship between them. The key here is to convert the words into an equation and solve it logically.

Let’s define:

• The smaller number as x

• The larger number as x + 8, since it's 8 more than the smaller

According to the problem, the sum of the two numbers is 70:
x + (x + 8) = 70

Combine like terms:
2x + 8 = 70

Subtract 8 from both sides:
2x = 62

Divide both sides by 2:
x = 31

This means the smaller number is 31. Now let's verify:

• Larger number = x + 8 = 31 + 8 = 39

• Sum = 31 + 39 = 70

Let’s assess the incorrect options:

• B. 33: If the smaller number were 33, the larger would be 41, and their sum would be 74 — too high.

• C. 35: Then the other number would be 43; 35 + 43 = 78 — incorrect.

• D. 36: Then the other number is 44; 36 + 44 = 80 — also too high.

Only 31 as the smaller number makes the sum exactly 70, matching the condition. This problem demonstrates a core algebra technique: define variables based on the relationships given, set up an equation, and solve. It’s a foundational skill for solving systems, understanding word problems, and applying mathematical reasoning to real-life scenarios.

Thus, the correct answer is A. 31.

Question 3:

A sales manager purchases a gross of antacid bottles and consumes 3 bottles each day. Given this daily usage rate, for how many days will the gross supply last?

A. 144 days
B. 3 days
C. 20 days
D. 48 days

Correct Answer: D

Explanation:

To solve this problem, we must first understand what a gross means in terms of quantity. A gross is a unit that equals 144 items. Therefore, when the sales manager buys a gross of antacid bottles, he is purchasing 144 bottles in total.

Next, we are told that the manager uses 3 bottles per day. To determine how long the supply will last, we simply divide the total quantity by the daily usage:

Total days the supply will last = Total number of bottles ÷ Number of bottles used per day

Substitute the given values into the formula:

Total days = 144 ÷ 3 = 48

So, the supply will last for 48 days. This is a straightforward division problem involving rates of consumption and total supply. These types of problems are common in inventory planning, budgeting, and resource management.

Let’s examine the other options:

• A. 144 days: This would only be correct if the manager were using 1 bottle per day, as 144 ÷ 1 = 144. However, the question clearly states that 3 bottles are used daily, so this is incorrect.

• B. 3 days: This would imply that the manager is using 48 bottles per day (144 ÷ 48 = 3), which is far more than what’s stated in the scenario.

• C. 20 days: This would only make sense if he used approximately 7.2 bottles per day (144 ÷ 20 = 7.2), which again does not match the given daily usage.

• D. 48 days: This is the correct answer, as shown by our calculation above.

In summary, understanding the unit definition (gross = 144) and applying basic division allows us to determine the duration the supply will last. Problems like this are useful for applying arithmetic to practical business scenarios such as inventory planning and usage tracking.

Question 4:

Jenny has taken four tests and scored 93, 89, 96, and 98. She wants to raise her average to 95 after her fifth test. What score must she earn on the next test to achieve this goal?

A. 100
B. 99
C. 97
D. 95

Correct Answer: B

Explanation:

To determine the score Jenny needs on her fifth test to reach an average of 95, we must follow a series of steps involving averages and totals.

First, we calculate her current total score across the four tests:

Total so far = 93 + 89 + 96 + 98 = 376

Next, we compute her current average:

Current average = 376 ÷ 4 = 94

So, Jenny’s current average is 94, and she wants to increase it to 95.

To find the total score needed across five tests for a 95 average:

Required total = 95 × 5 = 475

Now, we subtract her current total from this target total to determine the score she must earn on the fifth test:

Score needed = 475 − 376 = 99

So, Jenny needs to score 99 on her next test to reach her goal.

Let’s evaluate the other answer choices to confirm that they are incorrect:

• A. 100: If she scores 100, her new total would be 376 + 100 = 476, and her average would be 476 ÷ 5 = 95.2 — this exceeds her goal, so while it's acceptable, it's not the minimum required score.

• B. 99: This is the exact score she needs. With 376 + 99 = 475, the average becomes 475 ÷ 5 = 95, which is precisely her target.

• C. 97: Adding 97 gives a total of 473, resulting in an average of 473 ÷ 5 = 94.6, which falls short.

• D. 95: This would lead to a total of 471, and the average would be 471 ÷ 5 = 94.2, also below the goal.

This type of problem demonstrates how to work backward from a desired average to find the required score, a useful technique in academic planning or performance management. Jenny needs to score 99 to exactly hit her target of 95.

Question 5:

A server typically receives an average tip amounting to 12% of the total food bill she handles. If she manages $375 worth of food during her shift, how much tip money can she expect to earn on average?

A. $37
B. $45
C. $42
D. $420

Correct Answer: B

Explanation:

To determine the average amount of tips the waitress earns, we need to calculate 12% of the total value of the food she served during the evening. The percentage tip needs to be converted into a decimal format so that it can be used in multiplication with the food total.

Let’s go step-by-step:

Step 1: Understand what 12% means
Percentages express a value out of 100. So, 12% is equal to 12 divided by 100, which results in 0.12 as a decimal.

Step 2: Calculate the tip amount
Now, multiply the total value of food served ($375) by the decimal equivalent of the tip rate (0.12):

375×0.12=45375 \times 0.12 = 45375×0.12=45

So, the waitress is expected to earn $45 in tips.

Step 3: Eliminate the incorrect options

• A. $37: This would be the result of calculating a tip rate lower than 12%, approximately 9.87%. It doesn’t match the scenario.

• C. $42: This is also inaccurate. For a $42 tip to result from a 12% rate, the total food value would have to be about $350. But in this question, the food value is fixed at $375.

• D. $420: This number is far too large to represent a 12% tip on $375 worth of food. In fact, $420 exceeds the entire food bill itself, making this an obvious outlier.

The problem is a straightforward application of percentage-based calculations. In service industries like restaurants, calculating a tip involves multiplying the cost of food or service by the tipping percentage. In this case, the waitress earns 12% of $375, resulting in a tip of $45. This makes option B the only correct and logically consistent answer.

Question 6:

A square-shaped room measures 12 feet on each side. How many square feet of carpet are required to fully cover the floor of the room?

A. 24
B. 120
C. 48
D. 144

Correct Answer: D

Explanation:

This question requires finding the area of a square room to determine how much carpeting is needed. In geometry, the area of a rectangle or square is found by multiplying the length by the width. Since the room is square-shaped (i.e., both dimensions are equal), both the length and the width are 12 feet.

Step-by-step calculation:

Step 1: Apply the area formula

Area=Length×Width\text{Area} = \text{Length} \times \text{Width}Area=Length×Width Area=12 ft×12 ft=144 square feet\text{Area} = 12 \, \text{ft} \times 12 \, \text{ft} = 144 \, \text{square feet}Area=12ft×12ft=144square feet

Step 2: Interpret the result
The total area to be carpeted is 144 square feet, which means you’ll need this exact amount of carpeting material to fully cover the room.

Why the other choices are incorrect:

• A. 24: A very low number that might represent a 4 ft × 6 ft room, not relevant to this scenario.

• B. 120: While closer than some others, it represents a 10 ft × 12 ft room—not the 12 ft × 12 ft room in this question.

• C. 48: Another incorrect option; 48 square feet could be the area of a 4 ft × 12 ft room.

Real-world relevance:
Carpeting a room is a typical practical application of area calculation. Flooring companies usually ask for room dimensions in feet and quote materials per square foot. Making an error in this calculation could lead to under-ordering or over-ordering carpet, so precision is important.

By multiplying 12 feet by 12 feet, we find that the required carpet area is 144 square feet. This aligns with answer choice D, which is the only accurate response based on the dimensions provided.

Question 7:

A protective treatment for carpet costs $0.65 per square yard. If you have a carpet that measures 16 feet by 18 feet, what will be the total cost of applying this treatment?

A. $187.20
B. $62.40
C. $20.80
D. $96.00

Correct Answer: C

Explanation:

To determine the cost of applying carpet stain protectant, we must follow a structured approach involving area calculation, unit conversion, and finally cost computation.

Step 1: Calculate the area in square feet

The carpet's size is given in feet:

• Length = 16 feet

• Width = 18 feet

The area in square feet is found by multiplying:
16 × 18 = 288 square feet

Step 2: Convert square feet to square yards

Since the cost is provided per square yard, we need to convert the area. There are 9 square feet in 1 square yard, so:
288 ÷ 9 = 32 square yards

Step 3: Calculate the total cost

Now that we know the carpet is 32 square yards and the protectant costs $0.65 per square yard, we calculate:
32 × $0.65 = $20.80

Thus, the total cost to apply the protectant is $20.80, making option C the correct answer.

Clarifying the confusion with option B:

You may have noticed that option B ($62.40) is sometimes marked as correct in other sources or images, but that’s likely due to a different carpet size or incorrect rate application. Let’s break that down:

To get $62.40 at $0.65 per square yard:
$62.40 ÷ $0.65 = 96 square yards
Then: 96 × 9 = 864 square feet

That implies the carpet size would need to be much larger, such as 24 ft × 36 ft, which is not the case in this question. Here, we’re dealing with a 16 ft × 18 ft carpet.

Final Answer: C. $20.80

Question 8:

A company that prints baseball cards has a monthly overhead cost of $6,000. Each card costs 18 cents to produce and is sold for 30 cents. How many cards must be sold each month to start earning a profit?

A. 30,000
B. 40,000
C. 50,000
D. 60,000

Correct Answer: C

Explanation:

This problem involves understanding how fixed costs, variable costs, and profit per unit interact. The company has a monthly overhead of $6,000, meaning it needs to make this amount in profit before it begins to earn any real income.

Step 1: Calculate the profit per card

The cards are:

• Sold for $0.30 each

• Cost $0.18 to produce

So, the profit per card is:
$0.30 - $0.18 = $0.12

This means that every card sold contributes 12 cents toward covering the monthly overhead.

Step 2: Determine the breakeven point

To recover the $6,000 overhead, we divide that amount by the profit per card:
$6,000 ÷ $0.12 = 50,000 cards

So, the company needs to sell at least 50,000 cards to cover all its expenses. At this point, the revenue exactly offsets the costs — meaning this is the breakeven point. Selling even one more card beyond this results in profit.

Important interpretation:

The question asks how many cards must be sold to make a profit. In business math, "making a profit" typically includes reaching the minimum point where net profit becomes zero or positive. That threshold is exactly at 50,000 cards.

If the company sells fewer than 50,000 cards, it still incurs a loss. At exactly 50,000 cards, the costs and earnings balance out — and anything above this number begins to generate actual profit.

Final Answer: C. 50,000

Question 9:

Joe was earning $8.15 per hour at his job. His employer recently gave him a pay raise of 7%. What is Joe’s new hourly wage after the increase?

A. $0.57
B. $8.90
C. $8.72
D. $13.85

Correct Answer: C

Explanation:

To determine Joe’s updated hourly wage, we must calculate how much a 7% increase amounts to based on his original pay rate of $8.15 per hour, and then add that increase to his original wage.

First, convert the percentage into decimal form:
7% = 0.07

Now multiply Joe’s original wage by this decimal:
0.07 × 8.15 = 0.5705

This figure, $0.5705, represents the raise amount Joe receives per hour.

Next, we add this raise to Joe’s original hourly wage:
8.15 + 0.5705 = 8.7205

Wages are typically expressed with two decimal places, so we round this result:
Joe’s new wage = $8.72

Now let’s evaluate each option:

• A. $0.57 is only the raise amount, not the final wage.

• B. $8.90 is too high—it reflects a raise of more than 9%.

• C. $8.72 is the correct result after rounding.

• D. $13.85 is completely unrelated and far too high.

This question is a straightforward example of calculating a percentage increase, a concept often seen in financial contexts such as salary negotiations, sales tax, and price adjustments. Understanding how to compute a percentage increase is a key real-life math skill, helping individuals manage their income expectations and financial planning.

For example, knowing how much a raise will add to your hourly or annual wage can inform decisions like budgeting, saving, and evaluating job offers. If Joe works 40 hours a week, his weekly raise is:
0.57 × 40 = $22.80 more per week.

Multiplied over 52 weeks, that’s nearly $1,186 extra per year—showing how even a small hourly increase can have a significant annual impact.

Thus, the best answer is C, $8.72.

Question 10:

Alice begins driving eastward at a constant speed of 45 mph. Thirty minutes later, her husband Dave starts driving from the same point to catch up to her. 

If Dave wants to reach Alice exactly 3 hours after he starts, what speed must he maintain?

A. 49 mph
B. 50.5 mph
C. 52.5 mph
D. 54 mph

Correct Answer: C

Explanation:

This is a classic catch-up problem in relative motion. We need to determine how fast Dave must drive to overtake Alice in a fixed amount of time.

First, calculate how far Alice travels before Dave starts. She drives for 30 minutes (or 0.5 hours) at 45 mph:
Distance = Speed × Time
= 45 × 0.5 = 22.5 miles

So when Dave starts, Alice is already 22.5 miles ahead.

Now, consider that Dave has 3 hours to catch up. During those 3 hours, Alice continues driving at 45 mph:
Distance Alice covers in 3 hours = 45 × 3 = 135 miles

Therefore, Dave must cover:

• The 22.5 miles head start

• Plus the 135 miles Alice travels while he’s chasing her

Total distance = 22.5 + 135 = 157.5 miles

Since Dave has 3 hours to catch up, we use the formula:
Speed = Distance ÷ Time
= 157.5 ÷ 3 = 52.5 mph

Let’s double-check:

• Total time Alice drives = 0.5 (before Dave) + 3 = 3.5 hours

• Total distance she travels = 45 × 3.5 = 157.5 miles

• Dave also needs to travel 157.5 miles in 3 hours → 52.5 mph

Now consider the answer options:

• A. 49 mph is too slow—Dave wouldn’t catch up.

• B. 50.5 mph is close, but still not enough.

• C. 52.5 mph is exact and correct.

• D. 54 mph is more than needed—he would overtake her too early.

Thus, Dave must drive at 52.5 mph to meet Alice exactly 3 hours after he begins.

Correct answer: C.